Antonio Jesús, Martinez Aparicio Convergence of weak solutions of elliptic problems with datum in \(L^1\). (English) Zbl 07742355 Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 21, 13 p. (2023). MSC: 35D30 35J25 35J60 PDF BibTeX XML Cite \textit{M. A. Antonio Jesús}, Electron. J. Qual. Theory Differ. Equ. 2023, Paper No. 21, 13 p. (2023; Zbl 07742355) Full Text: DOI
Panov, Evgeny Yu. On entropy solutions of scalar conservation laws with discontinuous flux. (English) Zbl 07727502 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 78, 40 p. (2023). MSC: 35D30 35L03 35L65 PDF BibTeX XML Cite \textit{E. Yu. Panov}, Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 78, 40 p. (2023; Zbl 07727502) Full Text: DOI arXiv
Ahmedatt, Taghi; Hajji, Youssef; Hjiaj, Hassane Quasilinear class of noncoercive parabolic problems with Hardy potential and L1-data. (English) Zbl 07724296 Nonauton. Dyn. Syst. 10, Article ID 20220168, 20 p. (2023). MSC: 35D30 35K20 35K59 PDF BibTeX XML Cite \textit{T. Ahmedatt} et al., Nonauton. Dyn. Syst. 10, Article ID 20220168, 20 p. (2023; Zbl 07724296) Full Text: DOI
Leslie, Trevor M.; Tan, Changhui Sticky particle Cucker-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system. (English) Zbl 1515.35197 Commun. Partial Differ. Equations 48, No. 5, 753-791 (2023). MSC: 35Q31 35B30 35D30 76N10 35Q35 35Q92 PDF BibTeX XML Cite \textit{T. M. Leslie} and \textit{C. Tan}, Commun. Partial Differ. Equations 48, No. 5, 753--791 (2023; Zbl 1515.35197) Full Text: DOI arXiv
Fellner, Klemens; Fischer, Julian; Kniely, Michael; Tang, Bao Quoc Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion. (English) Zbl 07712905 J. Nonlinear Sci. 33, No. 4, Paper No. 66, 49 p. (2023). MSC: 35B40 35D30 35K51 35K57 35K59 PDF BibTeX XML Cite \textit{K. Fellner} et al., J. Nonlinear Sci. 33, No. 4, Paper No. 66, 49 p. (2023; Zbl 07712905) Full Text: DOI arXiv
Radici, Emanuela; Stra, Federico Entropy solutions of mildly singular nonlocal scalar conservation laws with congestion via deterministic particle methods. (English) Zbl 07702586 SIAM J. Math. Anal. 55, No. 3, 2001-2041 (2023). MSC: 35L03 35D30 35L65 35R09 65M12 65M75 PDF BibTeX XML Cite \textit{E. Radici} and \textit{F. Stra}, SIAM J. Math. Anal. 55, No. 3, 2001--2041 (2023; Zbl 07702586) Full Text: DOI
Choi, Young-Pil; Kim, Jeongho Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker-Planck-alignment model. (English) Zbl 07701004 Math. Models Methods Appl. Sci. 33, No. 1, 31-65 (2023). MSC: 35Q31 35Q84 35B40 35D30 35A01 35A02 82C40 PDF BibTeX XML Cite \textit{Y.-P. Choi} and \textit{J. Kim}, Math. Models Methods Appl. Sci. 33, No. 1, 31--65 (2023; Zbl 07701004) Full Text: DOI
Haskovec, Jan; Markowich, Peter; Portaro, Simone Emergence of biological transportation networks as a self-regulated process. (English) Zbl 07700768 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1499-1515 (2023). MSC: 35D30 35K55 35Q84 37C10 92C42 PDF BibTeX XML Cite \textit{J. Haskovec} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1499--1515 (2023; Zbl 07700768) Full Text: DOI arXiv
del Teso, Félix; Endal, Jørgen; Jakobsen, Espen R. Uniform tail estimates and \(L^p( {\mathbb{R}}^N) \)-convergence for finite-difference approximations of nonlinear diffusion equations. (English) Zbl 07700760 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1319-1346 (2023). MSC: 65-XX 35K15 35K65 35D30 35R09 35R11 65M06 65M12 76S05 PDF BibTeX XML Cite \textit{F. del Teso} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1319--1346 (2023; Zbl 07700760) Full Text: DOI arXiv
Liard, Thibault; Zuazua, Enrique Analysis and numerical solvability of backward-forward conservation laws. (English) Zbl 1517.35137 SIAM J. Math. Anal. 55, No. 3, 1949-1968 (2023). MSC: 35L65 35A35 35F20 35R30 93B30 PDF BibTeX XML Cite \textit{T. Liard} and \textit{E. Zuazua}, SIAM J. Math. Anal. 55, No. 3, 1949--1968 (2023; Zbl 1517.35137) Full Text: DOI
Druet, Pierre-Etienne Incompressible limit for a fluid mixture. (English) Zbl 07698266 Nonlinear Anal., Real World Appl. 72, Article ID 103859, 68 p. (2023). MSC: 35Q30 76N10 35D30 PDF BibTeX XML Cite \textit{P.-E. Druet}, Nonlinear Anal., Real World Appl. 72, Article ID 103859, 68 p. (2023; Zbl 07698266) Full Text: DOI arXiv
Pagès, Gilles; Panloup, Fabien Unadjusted Langevin algorithm with multiplicative noise: total variation and Wasserstein bounds. (English) Zbl 1515.65032 Ann. Appl. Probab. 33, No. 1, 726-779 (2023). MSC: 65C30 37M25 60F05 60H10 62L20 PDF BibTeX XML Cite \textit{G. Pagès} and \textit{F. Panloup}, Ann. Appl. Probab. 33, No. 1, 726--779 (2023; Zbl 1515.65032) Full Text: DOI arXiv
Mæhlen, Ola I. H.; Xue, Jun One-sided Hölder regularity of global weak solutions of negative order dispersive equations. (English) Zbl 1514.35077 J. Differ. Equations 364, 412-455 (2023). MSC: 35B65 35B30 35L03 35Q53 PDF BibTeX XML Cite \textit{O. I. H. Mæhlen} and \textit{J. Xue}, J. Differ. Equations 364, 412--455 (2023; Zbl 1514.35077) Full Text: DOI arXiv
Chen, Xiuqing; Jüngel, Ansgar; Wang, Lei The Shigesada-Kawasaki-Teramoto cross-diffusion system beyond detailed balance. (English) Zbl 1512.35366 J. Differ. Equations 360, 260-286 (2023). MSC: 35K51 35K58 35B40 35D30 92D25 PDF BibTeX XML Cite \textit{X. Chen} et al., J. Differ. Equations 360, 260--286 (2023; Zbl 1512.35366) Full Text: DOI arXiv
Sieber, Oliver Existence of global weak solutions to an inhomogeneous Doi model for active liquid crystals. (English) Zbl 1509.35243 J. Differ. Equations 354, 1-48 (2023). MSC: 35Q35 35Q55 76A15 76D05 76M45 82D30 35D30 35A01 35B65 PDF BibTeX XML Cite \textit{O. Sieber}, J. Differ. Equations 354, 1--48 (2023; Zbl 1509.35243) Full Text: DOI arXiv
Wang, Jinhuan; Wang, Weike; Wang, Yucheng Global smooth solution for Navier-Stokes/Poisson-Nernst-Planck system in \(\mathbb{R}^2\). (English) Zbl 1509.35191 J. Math. Fluid Mech. 25, No. 2, Paper No. 32, 15 p. (2023). MSC: 35Q30 35Q35 35Q92 78A57 76X05 35B65 35B40 35D30 35A01 PDF BibTeX XML Cite \textit{J. Wang} et al., J. Math. Fluid Mech. 25, No. 2, Paper No. 32, 15 p. (2023; Zbl 1509.35191) Full Text: DOI
Wang, Yu-Peng; Ma, Liang; Pang, Yi Quantum corrections to pair production of charged black holes in de Sitter space. (English) Zbl 07656434 J. Cosmol. Astropart. Phys. 2023, No. 1, Paper No. 7, 26 p. (2023). MSC: 83C57 83C15 80A10 83C45 83F05 83C25 94A17 81R40 PDF BibTeX XML Cite \textit{Y.-P. Wang} et al., J. Cosmol. Astropart. Phys. 2023, No. 1, Paper No. 7, 26 p. (2023; Zbl 07656434) Full Text: DOI arXiv
Upperman, Johnathon; Yamaleev, Nail K. First-order positivity-preserving entropy stable scheme for the 3-D compressible Navier-Stokes equations. (English) Zbl 1504.65215 J. Sci. Comput. 94, No. 1, Paper No. 18, 30 p. (2023). MSC: 65M60 65M70 65M08 65M06 65D30 65M12 76N06 76L05 35D30 35B09 76M10 76M12 76M20 76M22 35Q30 PDF BibTeX XML Cite \textit{J. Upperman} and \textit{N. K. Yamaleev}, J. Sci. Comput. 94, No. 1, Paper No. 18, 30 p. (2023; Zbl 1504.65215) Full Text: DOI arXiv
Su, Yunfei; Wu, Guochun; Yao, Lei; Zhang, Yinghui Hydrodynamic limit for the inhomogeneous incompressible Navier-Stokes-Vlasov equations. (English) Zbl 1501.35285 J. Differ. Equations 342, 193-238 (2023). MSC: 35Q30 35Q83 76D05 76T06 35D30 PDF BibTeX XML Cite \textit{Y. Su} et al., J. Differ. Equations 342, 193--238 (2023; Zbl 1501.35285) Full Text: DOI
Chen, Chuchu; Hong, Jialin; Lu, Yulan Stochastic differential equation with piecewise continuous arguments: Markov property, invariant measure and numerical approximation. (English) Zbl 1498.60286 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 765-807 (2023). MSC: 60H35 37M25 65C30 PDF BibTeX XML Cite \textit{C. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 765--807 (2023; Zbl 1498.60286) Full Text: DOI
Braukhoff, Marcel; Perugia, Ilaria; Stocker, Paul An entropy structure preserving space-time formulation for cross-diffusion systems: analysis and Galerkin discretization. (English) Zbl 07714595 SIAM J. Numer. Anal. 60, No. 1, 364-395 (2022). MSC: 65-XX 35K51 35K55 35Q92 65M60 41A10 PDF BibTeX XML Cite \textit{M. Braukhoff} et al., SIAM J. Numer. Anal. 60, No. 1, 364--395 (2022; Zbl 07714595) Full Text: DOI arXiv
Bocchi, Edoardo; Fanelli, Francesco; Prange, Christophe Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids. (English) Zbl 1512.35584 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 3, 647-704 (2022). Reviewer: Luisa Consiglieri (Lisboa) MSC: 35Q86 35Q30 76D50 76E20 76U65 76N10 76M45 35B40 35B65 35A01 35A02 35D35 35D30 35C20 PDF BibTeX XML Cite \textit{E. Bocchi} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 3, 647--704 (2022; Zbl 1512.35584) Full Text: DOI arXiv
Panov, E. Yu. On degenerate nonlinear parabolic equations on the Bohr compactum. (English. Russian original) Zbl 1505.35018 Differ. Equ. 58, No. 10, 1355-1375 (2022); translation from Differ. Uravn. 58, No. 10, 1360-1379 (2022). MSC: 35B15 35D30 35K59 35K65 PDF BibTeX XML Cite \textit{E. Yu. Panov}, Differ. Equ. 58, No. 10, 1355--1375 (2022; Zbl 1505.35018); translation from Differ. Uravn. 58, No. 10, 1360--1379 (2022) Full Text: DOI
Ghattassi, Mohamed; Huo, Xiaokai; Masmoudi, Nader On the diffusive limits of radiative heat transfer system. I: Well-prepared initial and boundary conditions. (English) Zbl 1506.35230 SIAM J. Math. Anal. 54, No. 5, 5335-5387 (2022). Reviewer: Catalin Popa (Iaşi) MSC: 35Q79 35Q85 35F50 35D30 35A10 80A21 85A25 35A01 35A02 35B65 PDF BibTeX XML Cite \textit{M. Ghattassi} et al., SIAM J. Math. Anal. 54, No. 5, 5335--5387 (2022; Zbl 1506.35230) Full Text: DOI arXiv
Zhou, Yi Generalized persistence of entropy weak solutions for system of hyperbolic conservation laws. (English) Zbl 1501.35128 Chin. Ann. Math., Ser. B 43, No. 4, 499-508 (2022). Reviewer: Vishnu Dutt Sharma (Ghandinagar) MSC: 35D30 35L03 35L65 PDF BibTeX XML Cite \textit{Y. Zhou}, Chin. Ann. Math., Ser. B 43, No. 4, 499--508 (2022; Zbl 1501.35128) Full Text: DOI arXiv
Su, Yunfei; Yao, Lei; Zhu, Mengmeng Exponential decay for 2D reduced gravity two-and-a-half layer model with quantum potential and drag force. (English) Zbl 1498.35441 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7207-7226 (2022). MSC: 35Q35 35B40 35D30 76T06 76N10 86A05 PDF BibTeX XML Cite \textit{Y. Su} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7207--7226 (2022; Zbl 1498.35441) Full Text: DOI
Boyaval, Sébastien; Dostalík, Mark Non-isothermal viscoelastic flows with conservation laws and relaxation. (English) Zbl 1504.35294 J. Hyperbolic Differ. Equ. 19, No. 2, 337-364 (2022). MSC: 35Q35 35Q74 35Q79 76A10 76N15 74F10 74D10 74B20 80A10 35D30 35A01 35A02 PDF BibTeX XML Cite \textit{S. Boyaval} and \textit{M. Dostalík}, J. Hyperbolic Differ. Equ. 19, No. 2, 337--364 (2022; Zbl 1504.35294) Full Text: DOI arXiv
Chen, Geng; Krupa, Sam G.; Vasseur, Alexis F. Uniqueness and weak-BV stability for \(2\times 2\) conservation laws. (English) Zbl 1505.35265 Arch. Ration. Mech. Anal. 246, No. 1, 299-332 (2022). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35A02 35B35 PDF BibTeX XML Cite \textit{G. Chen} et al., Arch. Ration. Mech. Anal. 246, No. 1, 299--332 (2022; Zbl 1505.35265) Full Text: DOI arXiv
He, Ling-Bing; Ji, Jie On the weak solution to the spatially homogeneous Boltzmann equation with moderate soft potentials. (English) Zbl 1501.35278 Int. J. Math. 33, No. 9, Article ID 2250063, 68 p. (2022). MSC: 35Q20 35R09 35B65 82C40 35D30 35A02 PDF BibTeX XML Cite \textit{L.-B. He} and \textit{J. Ji}, Int. J. Math. 33, No. 9, Article ID 2250063, 68 p. (2022; Zbl 1501.35278) Full Text: DOI
Azraibi, Ouidad; El Haji, Badr; Mekkour, Mounir Nonlinear parabolic problem with lower order terms in Musielak-Sobolev spaces without sign condition and with measure data. (English) Zbl 1497.35304 Palest. J. Math. 11, No. 3, 474-503 (2022). MSC: 35K59 35D30 35K20 35R06 PDF BibTeX XML Cite \textit{O. Azraibi} et al., Palest. J. Math. 11, No. 3, 474--503 (2022; Zbl 1497.35304) Full Text: Link
Hopf, Katharina; Burger, Martin On multi-species diffusion with size exclusion. (English) Zbl 1496.35236 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113092, 27 p. (2022). MSC: 35K59 35K51 35K65 35A02 35B35 PDF BibTeX XML Cite \textit{K. Hopf} and \textit{M. Burger}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113092, 27 p. (2022; Zbl 1496.35236) Full Text: DOI arXiv
Hensel, Sebastian; Marveggio, Alice Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities. (English) Zbl 1496.35279 J. Math. Fluid Mech. 24, No. 3, Paper No. 93, 60 p. (2022). MSC: 35Q30 35A02 35R35 76D05 76D45 53E10 PDF BibTeX XML Cite \textit{S. Hensel} and \textit{A. Marveggio}, J. Math. Fluid Mech. 24, No. 3, Paper No. 93, 60 p. (2022; Zbl 1496.35279) Full Text: DOI arXiv
Zhi, Yuan; Zhan, Huashui The partial boundary value conditions of nonlinear degenerate parabolic equation. (English) Zbl 1492.35154 Bound. Value Probl. 2022, Paper No. 27, 15 p. (2022). MSC: 35K65 35D30 35K20 35K59 PDF BibTeX XML Cite \textit{Y. Zhi} and \textit{H. Zhan}, Bound. Value Probl. 2022, Paper No. 27, 15 p. (2022; Zbl 1492.35154) Full Text: DOI
Marconi, Elio The rectifiability of the entropy defect measure for Burgers equation. (English) Zbl 1501.35261 J. Funct. Anal. 283, No. 6, Article ID 109568, 19 p. (2022). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35D30 35B65 PDF BibTeX XML Cite \textit{E. Marconi}, J. Funct. Anal. 283, No. 6, Article ID 109568, 19 p. (2022; Zbl 1501.35261) Full Text: DOI arXiv
Watanabe, Hiroshi Particular solutions to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws and their applications. (English) Zbl 1492.35089 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 49, 26 p. (2022). MSC: 35C07 35B40 35D30 35K15 35K55 35K65 35L65 35L67 PDF BibTeX XML Cite \textit{H. Watanabe}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 49, 26 p. (2022; Zbl 1492.35089) Full Text: DOI
Su, Yunfei; Li, Zilai; Yao, Lei Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model. (English) Zbl 1504.35382 Nonlinear Anal., Real World Appl. 67, Article ID 103625, 42 p. (2022). MSC: 35Q35 35Q86 76N10 76E25 86A05 35D30 PDF BibTeX XML Cite \textit{Y. Su} et al., Nonlinear Anal., Real World Appl. 67, Article ID 103625, 42 p. (2022; Zbl 1504.35382) Full Text: DOI
Hopf, Katharina Weak-strong uniqueness for energy-reaction-diffusion systems. (English) Zbl 1491.35007 Math. Models Methods Appl. Sci. 32, No. 5, 1015-1069 (2022). MSC: 35A02 35D30 35D35 35K51 35K57 35Q79 PDF BibTeX XML Cite \textit{K. Hopf}, Math. Models Methods Appl. Sci. 32, No. 5, 1015--1069 (2022; Zbl 1491.35007) Full Text: DOI arXiv
Perepelitsa, Misha Small dispersion approximation of shock wave dynamics. (English) Zbl 1492.35165 Z. Angew. Math. Phys. 73, No. 3, Paper No. 130, 9 p. (2022). Reviewer: Vincent Duchêne (Rennes) MSC: 35L67 35D30 35L45 35L60 35L65 PDF BibTeX XML Cite \textit{M. Perepelitsa}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 130, 9 p. (2022; Zbl 1492.35165) Full Text: DOI arXiv
Dovetta, Simone; Marconi, Elio; Spinolo, Laura V. New regularity results for scalar conservation laws, and applications to a source-destination model for traffic flows on networks. (English) Zbl 1492.35076 SIAM J. Math. Anal. 54, No. 3, 3019-3053 (2022). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35B65 35D30 35L03 35L60 35L65 76A30 PDF BibTeX XML Cite \textit{S. Dovetta} et al., SIAM J. Math. Anal. 54, No. 3, 3019--3053 (2022; Zbl 1492.35076) Full Text: DOI arXiv
Fagioli, Simone; Tse, Oliver On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility. (English) Zbl 1491.35383 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112904, 35 p. (2022). MSC: 35Q49 35A01 35A02 35A15 35A35 35D30 45K05 65M75 35R09 PDF BibTeX XML Cite \textit{S. Fagioli} and \textit{O. Tse}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112904, 35 p. (2022; Zbl 1491.35383) Full Text: DOI arXiv
Abdellaoui, Mohammed On the behavior of entropy solutions for a fractional \(p\)-Laplacian problem as \(t\) tends to infinity. (English) Zbl 1489.35012 Rend. Mat. Appl., VII. Ser. 43, No. 2, 103-132 (2022). MSC: 35B40 35D30 35K20 35K92 35R11 32U20 28A12 PDF BibTeX XML Cite \textit{M. Abdellaoui}, Rend. Mat. Appl., VII. Ser. 43, No. 2, 103--132 (2022; Zbl 1489.35012) Full Text: Link
Panov, Evgeny Yu. On decay of entropy solutions to multidimensional conservation laws in the case of perturbed periodic initial data. (English) Zbl 1489.35168 J. Hyperbolic Differ. Equ. 19, No. 1, 141-155 (2022). MSC: 35L65 35L03 35L60 35B10 35B40 35D30 PDF BibTeX XML Cite \textit{E. Yu. Panov}, J. Hyperbolic Differ. Equ. 19, No. 1, 141--155 (2022; Zbl 1489.35168) Full Text: DOI arXiv
Gabriel, Pierre; Martin, Hugo Periodic asymptotic dynamics of the measure solutions to an equal mitosis equation. (Comportement asymptotique périodique des solutions mesures d’une équation de mitose égale.) (English. French summary) Zbl 1496.35078 Ann. Henri Lebesgue 5, 275-301 (2022). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35F10 35R06 35D30 PDF BibTeX XML Cite \textit{P. Gabriel} and \textit{H. Martin}, Ann. Henri Lebesgue 5, 275--301 (2022; Zbl 1496.35078) Full Text: DOI arXiv
Xiao, Meixia; Zhang, Xianwen The entropy conservation and energy conservation for the relativistic Vlasov-Klein-Gordon system. (English) Zbl 1492.35345 Z. Angew. Math. Phys. 73, No. 3, Paper No. 95, 18 p. (2022). MSC: 35Q83 35L60 82C21 82D10 35D30 35B65 82C28 PDF BibTeX XML Cite \textit{M. Xiao} and \textit{X. Zhang}, Z. Angew. Math. Phys. 73, No. 3, Paper No. 95, 18 p. (2022; Zbl 1492.35345) Full Text: DOI
Huicheng, Yin; Lu, Zhu Formation and construction of a multidimensional shock wave for the first-order hyperbolic conservation law with smooth initial data. (English) Zbl 1487.35251 SIAM J. Math. Anal. 54, No. 2, 2587-2610 (2022). MSC: 35L67 35D30 35B44 35L45 35L65 PDF BibTeX XML Cite \textit{Y. Huicheng} and \textit{Z. Lu}, SIAM J. Math. Anal. 54, No. 2, 2587--2610 (2022; Zbl 1487.35251) Full Text: DOI arXiv
Svärd, Magnus Large eddy simulations by approximate weak entropy solutions. (English) Zbl 07516820 J. Comput. Phys. 448, Article ID 110737, 20 p. (2022). MSC: 65Mxx 76Nxx 76Mxx PDF BibTeX XML Cite \textit{M. Svärd}, J. Comput. Phys. 448, Article ID 110737, 20 p. (2022; Zbl 07516820) Full Text: DOI
Jüngel, Ansgar; Zamponi, Nicola Analysis of a fractional cross-diffusion system for multi-species populations. (English) Zbl 1486.35431 J. Differ. Equations 322, 237-267 (2022). MSC: 35R11 35D30 35K45 35K55 35K57 35Q92 PDF BibTeX XML Cite \textit{A. Jüngel} and \textit{N. Zamponi}, J. Differ. Equations 322, 237--267 (2022; Zbl 1486.35431) Full Text: DOI arXiv
Contreras Hip, Andres A.; Lamy, Xavier; Marconi, Elio Generalized characteristics for finite entropy solutions of Burgers’ equation. (English) Zbl 1486.35290 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112804, 13 p. (2022). MSC: 35L60 35L02 35L67 35D30 PDF BibTeX XML Cite \textit{A. A. Contreras Hip} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112804, 13 p. (2022; Zbl 1486.35290) Full Text: DOI
Jüngel, Ansgar; Portisch, Stefan; Zurek, Antoine Nonlocal cross-diffusion systems for multi-species populations and networks. (English) Zbl 1486.35259 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112800, 26 p. (2022). MSC: 35K51 35A02 35D30 35K59 68T07 92B20 PDF BibTeX XML Cite \textit{A. Jüngel} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112800, 26 p. (2022; Zbl 1486.35259) Full Text: DOI
Chauleur, Quentin Global dissipative solutions of the defocusing isothermal Euler-Langevin-Korteweg equations. (English) Zbl 1510.35218 Asymptotic Anal. 126, No. 3-4, 255-283 (2022). MSC: 35Q31 35Q30 35Q53 35Q55 76N10 76Y05 82C31 35D30 35A01 PDF BibTeX XML Cite \textit{Q. Chauleur}, Asymptotic Anal. 126, No. 3--4, 255--283 (2022; Zbl 1510.35218) Full Text: DOI arXiv
Fischer, Julian; Hopf, Katharina; Kniely, Michael; Mielke, Alexander Global existence analysis of energy-reaction-diffusion systems. (English) Zbl 1483.35262 SIAM J. Math. Anal. 54, No. 1, 220-267 (2022). MSC: 35Q79 35K51 35K57 35D30 35B45 35B65 35A01 80A19 82C35 PDF BibTeX XML Cite \textit{J. Fischer} et al., SIAM J. Math. Anal. 54, No. 1, 220--267 (2022; Zbl 1483.35262) Full Text: DOI arXiv
Marconi, Elio On the structure of weak solutions to scalar conservation laws with finite entropy production. (English) Zbl 1486.35294 Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 32, 30 p. (2022). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35D30 35B65 35L03 PDF BibTeX XML Cite \textit{E. Marconi}, Calc. Var. Partial Differ. Equ. 61, No. 1, Paper No. 32, 30 p. (2022; Zbl 1486.35294) Full Text: DOI arXiv
Bresch, D.; Gisclon, M.; Lacroix-Violet, I.; Vasseur, A. On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term. (English) Zbl 1503.35151 J. Math. Fluid Mech. 24, No. 1, Paper No. 11, 16 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76N10 76Y05 35B40 35B45 35B65 35K35 35D30 PDF BibTeX XML Cite \textit{D. Bresch} et al., J. Math. Fluid Mech. 24, No. 1, Paper No. 11, 16 p. (2022; Zbl 1503.35151) Full Text: DOI arXiv
Juajibioy, Juan C. On the Cauchy problem for Aw-Rascle system with linear damping. (English) Zbl 1513.35383 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 1, 311-318 (2021). MSC: 35L65 35L45 PDF BibTeX XML Cite \textit{J. C. Juajibioy}, Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 1, 311--318 (2021; Zbl 1513.35383) Full Text: DOI
Kuznetsov, Ivan; Sazhenkov, Sergey Singular limits of the quasi-linear Kolmogorov-type equation with a source term. (English) Zbl 1490.35213 J. Hyperbolic Differ. Equ. 18, No. 4, 789-856 (2021). MSC: 35K70 35D30 35R12 PDF BibTeX XML Cite \textit{I. Kuznetsov} and \textit{S. Sazhenkov}, J. Hyperbolic Differ. Equ. 18, No. 4, 789--856 (2021; Zbl 1490.35213) Full Text: DOI arXiv
Eymard, Robert; Maltese, David Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data. (English) Zbl 1493.65197 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 3043-3089 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N08 65N12 35D30 35J25 PDF BibTeX XML Cite \textit{R. Eymard} and \textit{D. Maltese}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 3043--3089 (2021; Zbl 1493.65197) Full Text: DOI
Barbaro, Alethea B. T.; Rodriguez, Nancy; Yoldas, Havva; Zamponi, Nicola Analysis of a cross-diffusion model for rival gangs interaction in a city. (English) Zbl 1479.35087 Commun. Math. Sci. 19, No. 8, 2139-2175 (2021). MSC: 35B40 35A23 35B35 35K51 35K57 35K65 92D25 PDF BibTeX XML Cite \textit{A. B. T. Barbaro} et al., Commun. Math. Sci. 19, No. 8, 2139--2175 (2021; Zbl 1479.35087) Full Text: DOI arXiv
Glitzky, Annegret; Liero, Matthias; Nika, Grigor Analysis of a bulk-surface thermistor model for large-area organic LEDs. (English) Zbl 1479.35304 Port. Math. (N.S.) 78, No. 2, 187-210 (2021). MSC: 35J25 35Q79 80A17 35A01 PDF BibTeX XML Cite \textit{A. Glitzky} et al., Port. Math. (N.S.) 78, No. 2, 187--210 (2021; Zbl 1479.35304) Full Text: DOI
Carrillo, José A.; Choi, Young-Pil; Jung, Jinwook Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces. (English) Zbl 1483.35267 Math. Models Methods Appl. Sci. 31, No. 2, 327-408 (2021). MSC: 35Q83 35Q31 35Q84 35B40 35D30 35D35 35A01 82C40 92C15 PDF BibTeX XML Cite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 31, No. 2, 327--408 (2021; Zbl 1483.35267) Full Text: DOI arXiv
Grossekemper, Niklas; Wittbold, Petra; Zimmermann, Aleksandra Entropy solutions of doubly nonlinear fractional Laplace equations. (English) Zbl 1473.35628 Result. Math. 76, No. 4, Paper No. 195, 26 p. (2021). MSC: 35R11 35D30 35J61 PDF BibTeX XML Cite \textit{N. Grossekemper} et al., Result. Math. 76, No. 4, Paper No. 195, 26 p. (2021; Zbl 1473.35628) Full Text: DOI arXiv
Antonelli, Paolo; Carnevale, Giada Cianfarani; Lattanzio, Corrado; Spirito, Stefano Relaxation limit from the quantum Navier-Stokes equations to the quantum drift-diffusion equation. (English) Zbl 1479.35598 J. Nonlinear Sci. 31, No. 5, Paper No. 71, 32 p. (2021). MSC: 35Q30 35Q40 35Q82 76Y05 82D37 82D80 78A35 35B45 35D30 37A35 81S30 PDF BibTeX XML Cite \textit{P. Antonelli} et al., J. Nonlinear Sci. 31, No. 5, Paper No. 71, 32 p. (2021; Zbl 1479.35598) Full Text: DOI arXiv
Su, Jingrui Suitable weak solutions to the micropolar fluids model in a bounded domain. (English) Zbl 1486.35350 J. Math. Anal. Appl. 504, No. 2, Article ID 125406, 20 p. (2021). MSC: 35Q35 35D30 35A01 35A02 76A05 76U05 76N10 PDF BibTeX XML Cite \textit{J. Su}, J. Math. Anal. Appl. 504, No. 2, Article ID 125406, 20 p. (2021; Zbl 1486.35350) Full Text: DOI
Feng, Chunrong; Liu, Yu; Zhao, Huaizhong Ergodic numerical approximation to periodic measures of stochastic differential equations. (English) Zbl 1476.37095 J. Comput. Appl. Math. 398, Article ID 113701, 23 p. (2021). MSC: 37M25 60H10 60H35 82C31 35Q84 65C30 PDF BibTeX XML Cite \textit{C. Feng} et al., J. Comput. Appl. Math. 398, Article ID 113701, 23 p. (2021; Zbl 1476.37095) Full Text: DOI arXiv
Cao, Wentao; Jiang, Peng Global bounded weak entropy solutions to the Euler-Vlasov equations in fluid-particle system. (English) Zbl 1475.35251 SIAM J. Math. Anal. 53, No. 4, 3958-3984 (2021). MSC: 35Q31 35Q83 35D30 35R09 76T06 76N10 PDF BibTeX XML Cite \textit{W. Cao} and \textit{P. Jiang}, SIAM J. Math. Anal. 53, No. 4, 3958--3984 (2021; Zbl 1475.35251) Full Text: DOI
Gargyants, Lidia V.; Goritsky, Andrey Yu.; Panov, Evgeny Yu. Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform. (English. Russian original) Zbl 1469.35144 Sb. Math. 212, No. 4, 475-489 (2021); translation from Mat. Sb. 212, No. 4, 29-44 (2021). MSC: 35L65 35L03 35D30 PDF BibTeX XML Cite \textit{L. V. Gargyants} et al., Sb. Math. 212, No. 4, 475--489 (2021; Zbl 1469.35144); translation from Mat. Sb. 212, No. 4, 29--44 (2021) Full Text: DOI
Liu, Sili; Chen, Yingshan Asymptotic behavior for an Oldroyd-B model in two dimensions. (English) Zbl 1468.35141 Acta Appl. Math. 172, Paper No. 12, 14 p. (2021). MSC: 35Q35 35Q84 35B40 76A05 76N06 35D30 35D35 PDF BibTeX XML Cite \textit{S. Liu} and \textit{Y. Chen}, Acta Appl. Math. 172, Paper No. 12, 14 p. (2021; Zbl 1468.35141) Full Text: DOI
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire; Mathis, Hélène Analysis of numerical schemes for semiconductor energy-transport models. (English) Zbl 1478.65074 Appl. Numer. Math. 168, 143-169 (2021). MSC: 65M08 65M06 65N08 65H10 35J60 35D30 82D37 35Q49 35Q82 PDF BibTeX XML Cite \textit{M. Bessemoulin-Chatard} et al., Appl. Numer. Math. 168, 143--169 (2021; Zbl 1478.65074) Full Text: DOI HAL
Hörmann, Günther Solution concepts, well-posedness, and wave breaking for the Fornberg-Whitham equation. (English) Zbl 1467.35002 Monatsh. Math. 195, No. 3, 421-449 (2021). MSC: 35-02 35L65 35B44 35C07 PDF BibTeX XML Cite \textit{G. Hörmann}, Monatsh. Math. 195, No. 3, 421--449 (2021; Zbl 1467.35002) Full Text: DOI arXiv
Aberqi, A.; Bennouna, J.; Elmassoudi, M. Strong evolution problems in Musielak spaces. (English) Zbl 1467.35206 Jeribi, Aref (ed.), Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 – May 3, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 183-197 (2021). MSC: 35K86 35K20 35K59 35D30 PDF BibTeX XML Cite \textit{A. Aberqi} et al., in: Operator theory. Proceedings of the international conference on operator theory, Hammamet, Tunisia, April 30 -- May 3, 2018. Berlin: De Gruyter. 183--197 (2021; Zbl 1467.35206) Full Text: DOI
Bukal, Mario Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance. (English) Zbl 1476.65165 Discrete Contin. Dyn. Syst. 41, No. 7, 3389-3414 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65N06 65M12 65M15 35B45 35A01 35A02 35D30 82C31 35Q82 PDF BibTeX XML Cite \textit{M. Bukal}, Discrete Contin. Dyn. Syst. 41, No. 7, 3389--3414 (2021; Zbl 1476.65165) Full Text: DOI arXiv
Fan, Jie; Jiu, Quansen; Wang, Yanqing; Xiao, Yuelong Blow up criterion for the 2D full compressible Navier-Stokes equations involving temperature in critical spaces. (English) Zbl 1472.35293 J. Math. Phys. 62, No. 5, Article ID 051503, 13 p. (2021). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35Q35 35L65 35L67 35B07 35B20 35B40 35D30 35A01 76J20 76N10 35B44 35B35 PDF BibTeX XML Cite \textit{J. Fan} et al., J. Math. Phys. 62, No. 5, Article ID 051503, 13 p. (2021; Zbl 1472.35293) Full Text: DOI
Chen, Gui-Qiang G.; Kuang, Jie; Zhang, Yongqian Stability of conical shocks in the three-dimensional steady supersonic isothermal flows past Lipschitz perturbed cones. (English) Zbl 1467.35220 SIAM J. Math. Anal. 53, No. 3, 2811-2862 (2021). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35B07 35B20 35D30 76J20 76N10 PDF BibTeX XML Cite \textit{G.-Q. G. Chen} et al., SIAM J. Math. Anal. 53, No. 3, 2811--2862 (2021; Zbl 1467.35220) Full Text: DOI arXiv
LeFloch, Philippe G.; Ranocha, Hendrik Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. (English) Zbl 1484.65183 J. Sci. Comput. 87, No. 2, Paper No. 55, 38 p. (2021). MSC: 65M06 65M60 65M70 65M12 35L65 35L67 35D30 PDF BibTeX XML Cite \textit{P. G. LeFloch} and \textit{H. Ranocha}, J. Sci. Comput. 87, No. 2, Paper No. 55, 38 p. (2021; Zbl 1484.65183) Full Text: DOI arXiv
Choi, Young-Pil; Yun, Seok-Bae Existence and hydrodynamic limit for a Paveri-Fontana-type kinetic traffic model. (English) Zbl 1467.82072 SIAM J. Math. Anal. 53, No. 2, 2631-2659 (2021). MSC: 82C40 76A30 35D30 35A01 35Q31 35Q83 PDF BibTeX XML Cite \textit{Y.-P. Choi} and \textit{S.-B. Yun}, SIAM J. Math. Anal. 53, No. 2, 2631--2659 (2021; Zbl 1467.82072) Full Text: DOI arXiv
Ghoshal, Shyam Sundar; Jana, Animesh Nonexistence of the \(BV\) regularizing effect for scalar conservation laws in several space dimensions for \(C^2\) fluxes. (English) Zbl 1468.35028 SIAM J. Math. Anal. 53, No. 2, 1908-1943 (2021). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35B65 35L65 35L67 35D30 35L02 PDF BibTeX XML Cite \textit{S. S. Ghoshal} and \textit{A. Jana}, SIAM J. Math. Anal. 53, No. 2, 1908--1943 (2021; Zbl 1468.35028) Full Text: DOI arXiv
Gilmore, Steven; Nguyen, Khai T. SBV regularity for Burgers-Poisson equation. (English) Zbl 1460.35228 J. Math. Anal. Appl. 500, No. 1, Article ID 125095, 13 p. (2021). MSC: 35L65 35F25 35D30 35B65 PDF BibTeX XML Cite \textit{S. Gilmore} and \textit{K. T. Nguyen}, J. Math. Anal. Appl. 500, No. 1, Article ID 125095, 13 p. (2021; Zbl 1460.35228) Full Text: DOI arXiv
Ghoshal, Shyam Sundar; Jana, Animesh Uniqueness of dissipative solutions to the complete Euler system. (English) Zbl 1460.35271 J. Math. Fluid Mech. 23, No. 2, Paper No. 34, 26 p. (2021). MSC: 35Q31 35B40 35L65 35L67 76N10 35D30 PDF BibTeX XML Cite \textit{S. S. Ghoshal} and \textit{A. Jana}, J. Math. Fluid Mech. 23, No. 2, Paper No. 34, 26 p. (2021; Zbl 1460.35271) Full Text: DOI arXiv
Bouchut, François; Lhébrard, Xavier Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. (English) Zbl 1466.65091 Math. Comput. 90, No. 329, 1119-1153 (2021). MSC: 65M08 65M12 76B15 76M12 35L65 35D30 PDF BibTeX XML Cite \textit{F. Bouchut} and \textit{X. Lhébrard}, Math. Comput. 90, No. 329, 1119--1153 (2021; Zbl 1466.65091) Full Text: DOI Link
Gess, Benjamin Optimal regularity for the porous medium equation. (English) Zbl 1461.35133 J. Eur. Math. Soc. (JEMS) 23, No. 2, 425-465 (2021). MSC: 35K59 35B65 35D30 PDF BibTeX XML Cite \textit{B. Gess}, J. Eur. Math. Soc. (JEMS) 23, No. 2, 425--465 (2021; Zbl 1461.35133) Full Text: DOI arXiv
Glitzky, Annegret; Liero, Matthias; Nika, Grigor An existence result for a class of electrothermal drift-diffusion models with Gauss-Fermi statistics for organic semiconductors. (English) Zbl 1460.35127 Anal. Appl., Singap. 19, No. 2, 275-304 (2021). MSC: 35J57 35R05 35D30 78A35 PDF BibTeX XML Cite \textit{A. Glitzky} et al., Anal. Appl., Singap. 19, No. 2, 275--304 (2021; Zbl 1460.35127) Full Text: DOI
Molinet, Luc; Talhouk, Raafat; Zaiter, Ibtissam The Boussinesq system revisited. (English) Zbl 1460.35295 Nonlinearity 34, No. 2, 744-775 (2021). MSC: 35Q35 35L56 35B30 35D30 35B65 35A01 35A02 46E35 PDF BibTeX XML Cite \textit{L. Molinet} et al., Nonlinearity 34, No. 2, 744--775 (2021; Zbl 1460.35295) Full Text: DOI arXiv
Marveggio, Alice; Schimperna, Giulio On a non-isothermal Cahn-Hilliard model based on a microforce balance. (English) Zbl 1460.35199 J. Differ. Equations 274, 924-970 (2021). Reviewer: Joseph Shomberg (Providence) MSC: 35K52 80A22 74A15 35K59 35D30 PDF BibTeX XML Cite \textit{A. Marveggio} and \textit{G. Schimperna}, J. Differ. Equations 274, 924--970 (2021; Zbl 1460.35199) Full Text: DOI arXiv
Guo, Ran; Yu, Huimin; Yuan, Difan Large-time behavior of entropy solutions to bipolar hydrodynamic model for semiconductors. (English) Zbl 1468.35018 Nonlinear Anal., Real World Appl. 57, Article ID 103205, 16 p. (2021). MSC: 35B40 35D30 35Q60 PDF BibTeX XML Cite \textit{R. Guo} et al., Nonlinear Anal., Real World Appl. 57, Article ID 103205, 16 p. (2021; Zbl 1468.35018) Full Text: DOI
Li, Nan; Lai, Shaoyong The entropy weak solution to a generalized Fornberg-Whitham equation. (English) Zbl 1487.35189 Bound. Value Probl. 2020, Paper No. 102, 10 p. (2020). MSC: 35G25 35D30 35L05 PDF BibTeX XML Cite \textit{N. Li} and \textit{S. Lai}, Bound. Value Probl. 2020, Paper No. 102, 10 p. (2020; Zbl 1487.35189) Full Text: DOI
Zhang, Mingyu Dimension reduction for compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1503.35190 J. Inequal. Appl. 2020, Paper No. 138, 16 p. (2020). MSC: 35Q35 35Q30 76N10 35D30 76D05 PDF BibTeX XML Cite \textit{M. Zhang}, J. Inequal. Appl. 2020, Paper No. 138, 16 p. (2020; Zbl 1503.35190) Full Text: DOI
Hynd, Ryan Probability measures on the path space and the sticky particle system. (English) Zbl 1469.35088 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 1333-1357 (2020). MSC: 35D30 35L45 35L60 35Q70 PDF BibTeX XML Cite \textit{R. Hynd}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 1333--1357 (2020; Zbl 1469.35088) Full Text: DOI arXiv
Liu, Jian-Guo; Wang, Jinhuan Global existence for Nernst-Planck-Navier-Stokes system in \(\mathbb{R}^n\). (English) Zbl 1464.35186 Commun. Math. Sci. 18, No. 6, 1743-1754 (2020). MSC: 35Q30 35Q35 35Q92 76X05 78A57 35D30 35A01 PDF BibTeX XML Cite \textit{J.-G. Liu} and \textit{J. Wang}, Commun. Math. Sci. 18, No. 6, 1743--1754 (2020; Zbl 1464.35186) Full Text: DOI
Gess, Benjamin; Sauer, Jonas; Tadmor, Eitan Optimal regularity in time and space for the porous medium equation. (English) Zbl 1459.35254 Anal. PDE 13, No. 8, 2441-2480 (2020). MSC: 35K59 35K15 35K65 35B65 35D30 76S05 PDF BibTeX XML Cite \textit{B. Gess} et al., Anal. PDE 13, No. 8, 2441--2480 (2020; Zbl 1459.35254) Full Text: DOI arXiv
Carrillo, José A.; Wróblewska-Kamińska, Aneta; Zatorska, Ewelina Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system. (English) Zbl 1462.35240 J. Math. Anal. Appl. 492, No. 1, Article ID 124400, 27 p. (2020). MSC: 35Q30 35Q31 76N06 35D30 35D35 35B41 PDF BibTeX XML Cite \textit{J. A. Carrillo} et al., J. Math. Anal. Appl. 492, No. 1, Article ID 124400, 27 p. (2020; Zbl 1462.35240) Full Text: DOI arXiv
Marconi, Elio Structure and regularity of solutions to 1d scalar conservation laws. (English) Zbl 1468.35094 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 546-553 (2020). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35B65 35L02 35D30 PDF BibTeX XML Cite \textit{E. Marconi}, AIMS Ser. Appl. Math. 10, 546--553 (2020; Zbl 1468.35094) Full Text: arXiv
Keimer, Alexander; Pflug, Lukas; Spinola, Michele Nonlocal balance laws. Results on existence, uniqueness and regularity. (English) Zbl 1459.35266 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 475-482 (2020). MSC: 35L03 35L65 65M25 35D30 PDF BibTeX XML Cite \textit{A. Keimer} et al., AIMS Ser. Appl. Math. 10, 475--482 (2020; Zbl 1459.35266)
Ancona, Fabio; Caravenna, Laura; Christoforou, Cleopatra On \(L^1\)-stability of BV solutions for a model of granular flow. (English) Zbl 1459.35281 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 239-247 (2020). MSC: 35L65 35B35 76T25 35L45 PDF BibTeX XML Cite \textit{F. Ancona} et al., AIMS Ser. Appl. Math. 10, 239--247 (2020; Zbl 1459.35281)
Alkhayal, J.; Jazar, M.; Monneau, R. Global weak solutions for a degenerate parabolic system modelling seawater intrusion in confined aquifers. (English) Zbl 1458.35218 Appl. Anal. 99, No. 10, 1749-1764 (2020). MSC: 35K45 35K59 35K65 35D30 35Q35 PDF BibTeX XML Cite \textit{J. Alkhayal} et al., Appl. Anal. 99, No. 10, 1749--1764 (2020; Zbl 1458.35218) Full Text: DOI
Carrillo, José Antonio; Peng, Yingping; Wróblewska-Kamińska, Aneta Relative entropy method for the relaxation limit of hydrodynamic models. (English) Zbl 1455.35181 Netw. Heterog. Media 15, No. 3, 369-387 (2020). MSC: 35Q31 76N06 35B25 35D30 35D35 PDF BibTeX XML Cite \textit{J. A. Carrillo} et al., Netw. Heterog. Media 15, No. 3, 369--387 (2020; Zbl 1455.35181) Full Text: DOI arXiv
Coron, Jean-Michel; Keimer, Alexander; Pflug, Lukas Nonlocal transport equations – existence and uniqueness of solutions and relation to the corresponding conservation laws. (English) Zbl 1471.35250 SIAM J. Math. Anal. 52, No. 6, 5500-5532 (2020). Reviewer: Song Jiang (Beijing) MSC: 35Q49 35L03 35L65 35L67 76L05 35D30 35B35 35A01 35A02 90B20 PDF BibTeX XML Cite \textit{J.-M. Coron} et al., SIAM J. Math. Anal. 52, No. 6, 5500--5532 (2020; Zbl 1471.35250) Full Text: DOI
Wu, Jihui; Wang, Shu On the degenerate Cahn-Hilliard equation: global existence and entropy estimates of weak solutions. (English) Zbl 1452.35152 Asymptotic Anal. 119, No. 1-2, 1-38 (2020). MSC: 35Q35 35D30 35K65 35B65 35B40 35A01 PDF BibTeX XML Cite \textit{J. Wu} and \textit{S. Wang}, Asymptotic Anal. 119, No. 1--2, 1--38 (2020; Zbl 1452.35152) Full Text: DOI
Godunov, S. K.; Denisenko, V. V.; Klyuchinskii, D. V.; Fortova, S. V.; Shepelev, V. V. Study of entropy properties of a linearized version of Godunov’s method. (English. Russian original) Zbl 1453.35126 Comput. Math. Math. Phys. 60, No. 4, 628-640 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 4, 639-651 (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 65M06 35Q31 35D30 PDF BibTeX XML Cite \textit{S. K. Godunov} et al., Comput. Math. Math. Phys. 60, No. 4, 628--640 (2020; Zbl 1453.35126); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 4, 639--651 (2020) Full Text: DOI
Carnevale, Giada Cianfarani; Lattanzio, Corrado High friction limit for Euler-Korteweg and Navier-Stokes-Korteweg models via relative entropy approach. (English) Zbl 1451.35104 J. Differ. Equations 269, No. 12, 10495-10526 (2020). MSC: 35Q30 35Q31 35Q53 76D05 35D30 35B65 PDF BibTeX XML Cite \textit{G. C. Carnevale} and \textit{C. Lattanzio}, J. Differ. Equations 269, No. 12, 10495--10526 (2020; Zbl 1451.35104) Full Text: DOI arXiv
Krupa, Sam G.; Vasseur, Alexis F. Stability and uniqueness for piecewise smooth solutions to a nonlocal scalar conservation law with applications to Burgers-Hilbert equation. (English) Zbl 1453.35123 SIAM J. Math. Anal. 52, No. 3, 2491-2530 (2020). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L03 35L60 35L67 35D30 35B35 35B65 PDF BibTeX XML Cite \textit{S. G. Krupa} and \textit{A. F. Vasseur}, SIAM J. Math. Anal. 52, No. 3, 2491--2530 (2020; Zbl 1453.35123) Full Text: DOI arXiv
Chatterjee, Neelabja; Fjordholm, Ulrik Skre Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. (English) Zbl 1446.65088 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1415-1428 (2020). MSC: 65M08 65M12 35L65 35D30 35B34 PDF BibTeX XML Cite \textit{N. Chatterjee} and \textit{U. S. Fjordholm}, ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1415--1428 (2020; Zbl 1446.65088) Full Text: DOI arXiv