Cameron, Stephen; Strain, Robert M. Critical local well-posedness for the fully nonlinear Peskin problem. (English) Zbl 07793219 Commun. Pure Appl. Math. 77, No. 2, 901-989 (2024). MSC: 35Q35 76D07 76S05 74F10 74K05 74B20 35C15 35B65 35A01 35A02 42B25 26A33 35R11 35R35 PDFBibTeX XMLCite \textit{S. Cameron} and \textit{R. M. Strain}, Commun. Pure Appl. Math. 77, No. 2, 901--989 (2024; Zbl 07793219) Full Text: DOI arXiv
López, Belen; Okrasińska-Płociniczak, Hanna; Płociniczak, Łukasz; Rocha, Juan Time-fractional porous medium equation: Erdélyi-Kober integral equations, compactly supported solutions, and numerical methods. (English) Zbl 07784320 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024). MSC: 34A08 65M12 76S05 PDFBibTeX XMLCite \textit{B. López} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107692, 14 p. (2024; Zbl 07784320) Full Text: DOI arXiv
Kräss, Sebastian; Zacher, Rico Aronson-Bénilan and Harnack estimates for the discrete porous medium equation. (English) Zbl 1527.35455 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113413, 25 p. (2024). MSC: 35R02 35B45 35K59 35K65 76S05 PDFBibTeX XMLCite \textit{S. Kräss} and \textit{R. Zacher}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 238, Article ID 113413, 25 p. (2024; Zbl 1527.35455) Full Text: DOI arXiv
Ayano, Mekonnen S.; Otegbeye, Olumuyiwa; Mathunjwa, Jochonia S. Numerical simulation of Nanofluid flow due to a stretchable rotating disk. (English) Zbl 07807023 Theor. Appl. Mech. (Belgrade) 50, No. 1, 55-72 (2023). MSC: 76-11 65L10 PDFBibTeX XMLCite \textit{M. S. Ayano} et al., Theor. Appl. Mech. (Belgrade) 50, No. 1, 55--72 (2023; Zbl 07807023) Full Text: DOI
Kröker, Ilja; Oladyshkin, Sergey; Rybak, Iryna Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. (English) Zbl 1528.76077 Comput. Geosci. 27, No. 5, 805-827 (2023). MSC: 76S05 65C30 65M60 76D07 76M12 35Q35 PDFBibTeX XMLCite \textit{I. Kröker} et al., Comput. Geosci. 27, No. 5, 805--827 (2023; Zbl 1528.76077) Full Text: DOI OA License
Chen, Xuejiao; Li, Yuanfei Spatial decay estimates for the Forchheimer fluid equations in a semi-infinite cylinder. (English) Zbl 07790539 Appl. Math., Praha 68, No. 5, 643-660 (2023). MSC: 35B40 35Q30 76D05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Y. Li}, Appl. Math., Praha 68, No. 5, 643--660 (2023; Zbl 07790539) Full Text: DOI
Yadav, Hina; Goyal, Mamta Impact of melting on MHD heat and mass transfer of Casson fluid flow over a stretching sheet in porous media in presence of thermal radiation and viscous dissipation. (English) Zbl 07789270 Jñānābha 53, No. 1, 263-271 (2023). MSC: 76W05 76D05 76Sxx 80A19 78A40 PDFBibTeX XMLCite \textit{H. Yadav} and \textit{M. Goyal}, Jñānābha 53, No. 1, 263--271 (2023; Zbl 07789270) Full Text: DOI
Nadian, Pulkit Kumar Thermoconvection in a Kuvshiniski ferrofluid in presence of rotation and varying gravitational field through a porous medium. (English) Zbl 07787527 South East Asian J. Math. Math. Sci. 19, No. 1, 433-446 (2023). MSC: 76A10 76D05 76E06 76E07 76M25 76S05 76U05 76W05 PDFBibTeX XMLCite \textit{P. K. Nadian}, South East Asian J. Math. Math. Sci. 19, No. 1, 433--446 (2023; Zbl 07787527) Full Text: DOI
Yashkun, Ubaidullah; Zaimi, Khairy; Sufahani, Suliadi Firdaus; Eid, Mohamed R.; Ferdows, Mohammad Flow and heat transfer of a nanofluid through a porous medium due to stretching/shrinking sheet with suction, magnetic field and thermal radiation. (English) Zbl 07754474 Appl. Math., Ser. B (Engl. Ed.) 38, No. 3, 373-391 (2023). MSC: 35Q79 80A21 76S05 34B15 PDFBibTeX XMLCite \textit{U. Yashkun} et al., Appl. Math., Ser. B (Engl. Ed.) 38, No. 3, 373--391 (2023; Zbl 07754474) Full Text: DOI
Chu, Raymond A Hele-Shaw limit with a variable upper bound and drift. (English) Zbl 07750781 SIAM J. Math. Anal. 55, No. 5, 4938-4976 (2023). Reviewer: Giuseppe Maria Coclite (Bari) MSC: 35R35 35K59 35Q92 76S05 76D27 PDFBibTeX XMLCite \textit{R. Chu}, SIAM J. Math. Anal. 55, No. 5, 4938--4976 (2023; Zbl 07750781) Full Text: DOI arXiv
Roidos, Nikolaos; Shao, Yuanzhen The fractional porous medium equation on manifolds with conical singularities. II. (English) Zbl 07747174 Math. Nachr. 296, No. 4, 1616-1650 (2023). MSC: 35R11 35K59 35K65 35K67 35R01 76S05 PDFBibTeX XMLCite \textit{N. Roidos} and \textit{Y. Shao}, Math. Nachr. 296, No. 4, 1616--1650 (2023; Zbl 07747174) Full Text: DOI arXiv
Craig, Katy; Elamvazhuthi, Karthik; Haberland, Matt; Turanova, Olga A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling. (English) Zbl 1525.35200 Math. Comput. 92, No. 344, 2575-2654 (2023). Reviewer: Lucio Galeati (Lausanne) MSC: 35Q35 35Q62 35Q68 35Q82 35Q84 65M12 82C22 93A16 76S05 35B40 82C31 68T07 35R60 PDFBibTeX XMLCite \textit{K. Craig} et al., Math. Comput. 92, No. 344, 2575--2654 (2023; Zbl 1525.35200) Full Text: DOI arXiv
David, Noemi Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit. (English) Zbl 1518.35159 Commun. Partial Differ. Equations 48, No. 4, 678-710 (2023). MSC: 35B45 35K57 35K59 35K65 35R09 76N10 35Q92 PDFBibTeX XMLCite \textit{N. David}, Commun. Partial Differ. Equations 48, No. 4, 678--710 (2023; Zbl 1518.35159) Full Text: DOI arXiv
Hashemi, A. S.; Heydari, Mohammad; Loghmani, Ghasem Barid; Ganji, D. D. Dual solutions for the problem of mixed convection flow through a porous medium using an iterative finite difference method. (English) Zbl 07707336 J. Math. Ext. 17, No. 1, Paper No. 2, 25 p. (2023). MSC: 35Q35 65L12 76S05 65L20 76M20 PDFBibTeX XMLCite \textit{A. S. Hashemi} et al., J. Math. Ext. 17, No. 1, Paper No. 2, 25 p. (2023; Zbl 07707336) Full Text: DOI
Magdalena, Ikha; Marcela, Indriana; Karima, Nadhira; Jonathan, Gabriel; Harlan, Dhemi; Adityawan, M. Bagus Two layer shallow water equations for wave attenuation of a submerged porous breakwater. (English) Zbl 07704185 Appl. Math. Comput. 454, Article ID 128096, 21 p. (2023). MSC: 76Bxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{I. Magdalena} et al., Appl. Math. Comput. 454, Article ID 128096, 21 p. (2023; Zbl 07704185) Full Text: DOI
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 PDFBibTeX XMLCite \textit{F. del Teso} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1319--1346 (2023; Zbl 07700760) Full Text: DOI arXiv
Sano, Osamu; Karmakar, Timir; Sekhar, G. P. Raja Viscous flow around three-dimensional macroscopic cavities in a granular material: asymptotic theory for two sufficiently distant spherical cavities of arbitrary configuration. (English) Zbl 1527.76068 J. Fluid Mech. 964, Paper No. A6, 33 p. (2023). MSC: 76S05 76D07 76M45 86A05 PDFBibTeX XMLCite \textit{O. Sano} et al., J. Fluid Mech. 964, Paper No. A6, 33 p. (2023; Zbl 1527.76068) Full Text: DOI
Schneider, Martin; Gläser, Dennis; Weishaupt, Kilian; Coltman, Edward; Flemisch, Bernd; Helmig, Rainer Coupling staggered-grid and vertex-centered finite-volume methods for coupled porous-medium free-flow problems. (English) Zbl 07679169 J. Comput. Phys. 482, Article ID 112042, 19 p. (2023). MSC: 76Sxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{M. Schneider} et al., J. Comput. Phys. 482, Article ID 112042, 19 p. (2023; Zbl 07679169) Full Text: DOI arXiv
Hu, Yuanyuan; Wang, Liangwei; Yin, Jingxue Complexity of asymptotic behavior of solutions for the fractional porous medium equation. (English) Zbl 1512.35472 Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3985-3996 (2023). MSC: 35Q35 76S05 35B40 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Hu} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3985--3996 (2023; Zbl 1512.35472) Full Text: DOI
Laurençot, Philippe; Matioc, Bogdan-Vasile The porous medium equation as a singular limit of the thin film Muskat problem. (English) Zbl 1509.35228 Asymptotic Anal. 131, No. 2, 255-271 (2023). MSC: 35Q35 76A20 76S05 35K65 35A01 35A02 PDFBibTeX XMLCite \textit{P. Laurençot} and \textit{B.-V. Matioc}, Asymptotic Anal. 131, No. 2, 255--271 (2023; Zbl 1509.35228) Full Text: DOI arXiv
Li, Li An inverse problem for the fractional porous medium equation. (English) Zbl 1509.35230 Asymptotic Anal. 131, No. 3-4, 583-594 (2023). MSC: 35Q35 76S05 76N15 74F10 26A33 35R30 35R11 PDFBibTeX XMLCite \textit{L. Li}, Asymptotic Anal. 131, No. 3--4, 583--594 (2023; Zbl 1509.35230) Full Text: DOI arXiv
Cardoso, Pedro; de Paula, Renato; Gonçalves, Patrícia Derivation of the fractional porous medium equation from a microscopic dynamics. (English) Zbl 1524.76445 Nonlinearity 36, No. 3, 1840-1872 (2023). MSC: 76S05 26A33 60K35 35K55 35R11 PDFBibTeX XMLCite \textit{P. Cardoso} et al., Nonlinearity 36, No. 3, 1840--1872 (2023; Zbl 1524.76445) Full Text: DOI arXiv
Fumagalli, Alessio; Patacchini, Francesco Saverio Well-posedness and variational numerical scheme for an adaptive model in highly heterogeneous porous media. (English) Zbl 07649265 J. Comput. Phys. 475, Article ID 111844, 30 p. (2023). MSC: 65Nxx 76Sxx 76Mxx PDFBibTeX XMLCite \textit{A. Fumagalli} and \textit{F. S. Patacchini}, J. Comput. Phys. 475, Article ID 111844, 30 p. (2023; Zbl 07649265) Full Text: DOI arXiv
Geng, Zhiyuan; Granero-Belinchón, Rafael A unified approach towards the impossibility of finite time vanishing depth for incompressible free boundary flows. (English) Zbl 1504.35253 Proc. Am. Math. Soc. 151, No. 2, 707-722 (2023). MSC: 35Q31 35B60 35B44 76B10 76B07 76S05 35R35 PDFBibTeX XMLCite \textit{Z. Geng} and \textit{R. Granero-Belinchón}, Proc. Am. Math. Soc. 151, No. 2, 707--722 (2023; Zbl 1504.35253) Full Text: DOI arXiv
Bakar, S. A.; Arifin, N. M.; Bachok, N.; Ali, F. M. Hybrid nanofluid flow in a porous medium with second-order velocity slip, suction and heat absorption. (English) Zbl 07811510 Malays. J. Math. Sci. 16, No. 2, 257-272 (2022). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{S. A. Bakar} et al., Malays. J. Math. Sci. 16, No. 2, 257--272 (2022; Zbl 07811510) Full Text: DOI
Olkha, Amala; Choudhary, Rahul; Dadheech, Amit Unsteady MHD flow over a permeable stretching surface with suction/injection and heat source/sink. (English) Zbl 07785339 Jñānābha 52, No. 1, 38-46 (2022). MSC: 76D05 76D10 76W05 PDFBibTeX XMLCite \textit{A. Olkha} et al., Jñānābha 52, No. 1, 38--46 (2022; Zbl 07785339) Full Text: DOI
Abedian, Rooholah; Dehghan, Mehdi A RBF-WENO finite difference scheme for non-linear degenerate parabolic equations. (English) Zbl 1504.65165 J. Sci. Comput. 93, No. 3, Paper No. 60, 29 p. (2022). MSC: 65M06 65D12 41A58 65M15 35K65 76S05 76T06 35Q35 PDFBibTeX XMLCite \textit{R. Abedian} and \textit{M. Dehghan}, J. Sci. Comput. 93, No. 3, Paper No. 60, 29 p. (2022; Zbl 1504.65165) Full Text: DOI
Bruno, Stefano; Gess, Benjamin; Weber, Hendrik Optimal regularity in time and space for stochastic porous medium equations. (English) Zbl 1500.35072 Ann. Probab. 50, No. 6, 2288-2343 (2022). MSC: 35B65 35K20 35K59 35R60 60H15 76S05 PDFBibTeX XMLCite \textit{S. Bruno} et al., Ann. Probab. 50, No. 6, 2288--2343 (2022; Zbl 1500.35072) Full Text: DOI arXiv
Hillairet, Matthieu; Lacave, Christophe; Wu, Di A homogenized limit for the 2-dimensional Euler equations in a perforated domain. (English) Zbl 1500.35022 Anal. PDE 15, No. 5, 1131-1167 (2022). MSC: 35B27 35J25 35C20 35Q31 76B03 PDFBibTeX XMLCite \textit{M. Hillairet} et al., Anal. PDE 15, No. 5, 1131--1167 (2022; Zbl 1500.35022) Full Text: DOI arXiv
Qin, Yi; Wang, Yongshuai; Li, Jian A variable time step time filter algorithm for the geothermal system. (English) Zbl 1505.76061 SIAM J. Numer. Anal. 60, No. 5, 2781-2806 (2022). MSC: 76M10 76S05 76D05 65M12 PDFBibTeX XMLCite \textit{Y. Qin} et al., SIAM J. Numer. Anal. 60, No. 5, 2781--2806 (2022; Zbl 1505.76061) Full Text: DOI
Palencia, J. L. Díaz; Rahman, S. Geometric perturbation theory and travelling waves profiles analysis in a Darcy-Forchheimer fluid model. (English) Zbl 1497.35386 J. Nonlinear Math. Phys. 29, No. 3, 556-572 (2022). MSC: 35Q35 35B65 76D05 35K57 PDFBibTeX XMLCite \textit{J. L. D. Palencia} and \textit{S. Rahman}, J. Nonlinear Math. Phys. 29, No. 3, 556--572 (2022; Zbl 1497.35386) Full Text: DOI
Magdalena, I.; Michael, L. Two layer model for n-emerged porous breakwater on a muddy bottom. (English) Zbl 1497.76013 Results Appl. Math. 15, Article ID 100290, 14 p. (2022). MSC: 76B15 76S05 76M12 86A05 PDFBibTeX XMLCite \textit{I. Magdalena} and \textit{L. Michael}, Results Appl. Math. 15, Article ID 100290, 14 p. (2022; Zbl 1497.76013) Full Text: DOI
Ahmad, Sohail; Ashraf, Muhammad; Ali, Kashif; Sooppy Nisar, Kottakkaran Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls. (English) Zbl 1525.76003 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 5, 761-775 (2022). MSC: 76A05 76M20 80A19 35Q35 76D05 PDFBibTeX XMLCite \textit{S. Ahmad} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 5, 761--775 (2022; Zbl 1525.76003) Full Text: DOI
Baral, Abhishek; Sepehri, Mehrdad; Nec, Yana Effects of turbulence at the ingress into landfill gas wells. (English) Zbl 1508.76106 J. Eng. Math. 135, Paper No. 7, 20 p. (2022). MSC: 76S05 76F60 76M99 86A05 PDFBibTeX XMLCite \textit{A. Baral} et al., J. Eng. Math. 135, Paper No. 7, 20 p. (2022; Zbl 1508.76106) Full Text: DOI
Badday, Alaa Jabbar; Harfash, Akil J. Instability in Poiseuille flow in a porous medium with slip boundary conditions and uniform vertical throughflow effects. (English) Zbl 1508.76041 J. Eng. Math. 135, Paper No. 6, 17 p. (2022). MSC: 76E05 76S05 76M99 PDFBibTeX XMLCite \textit{A. J. Badday} and \textit{A. J. Harfash}, J. Eng. Math. 135, Paper No. 6, 17 p. (2022; Zbl 1508.76041) Full Text: DOI
Schenke, Andre The stochastic tamed MHD equations: existence, uniqueness and invariant measures. (English) Zbl 1494.76119 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 475-515 (2022). MSC: 76W05 76S05 76M35 35Q35 35Q60 PDFBibTeX XMLCite \textit{A. Schenke}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 2, 475--515 (2022; Zbl 1494.76119) Full Text: DOI arXiv
Shen, Xuhui Blow-up time estimate for porous-medium problems with gradient terms under Robin boundary conditions. (English) Zbl 1506.35119 J. Inequal. Appl. 2022, Paper No. 43, 10 p. (2022). MSC: 35K59 35K20 35B44 76S05 PDFBibTeX XMLCite \textit{X. Shen}, J. Inequal. Appl. 2022, Paper No. 43, 10 p. (2022; Zbl 1506.35119) Full Text: DOI
Bianchi, Davide; Setti, Alberto G.; Wojciechowski, Radosław K. The generalized porous medium equation on graphs: existence and uniqueness of solutions with \(\ell^1\) data. (English) Zbl 1492.35399 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 171, 42 p. (2022). MSC: 35R02 35K59 35K65 35A01 35A02 76S05 05C22 05C63 47H06 PDFBibTeX XMLCite \textit{D. Bianchi} et al., Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 171, 42 p. (2022; Zbl 1492.35399) Full Text: DOI arXiv
Roidos, Nikolaos; Shao, Yuanzhen Maximal \(L_q\)-regularity of nonlocal parabolic equations in higher order Bessel potential spaces. (English) Zbl 1492.35081 Pure Appl. Funct. Anal. 7, No. 3, 1037-1063 (2022). MSC: 35B65 35B45 35K20 35K59 35K65 35R01 35R11 76S05 PDFBibTeX XMLCite \textit{N. Roidos} and \textit{Y. Shao}, Pure Appl. Funct. Anal. 7, No. 3, 1037--1063 (2022; Zbl 1492.35081) Full Text: arXiv Link
Unglehrt, Lukas; Manhart, Michael Onset of nonlinearity in oscillatory flow through a hexagonal sphere pack. (English) Zbl 1510.76172 J. Fluid Mech. 944, Paper No. A30, 32 p. (2022). MSC: 76S05 76D05 76M55 76M45 76M12 76M20 PDFBibTeX XMLCite \textit{L. Unglehrt} and \textit{M. Manhart}, J. Fluid Mech. 944, Paper No. A30, 32 p. (2022; Zbl 1510.76172) Full Text: DOI
Bessaih, Hakima; Cohn, Cynthia; Landoulsi, Oussama Stochastic elliptic-parabolic system arising in porous media. (English) Zbl 1490.76203 Stoch. Dyn. 22, No. 3, Article ID 2240022, 19 p. (2022). MSC: 76S05 35K60 60H15 60H25 60G05 PDFBibTeX XMLCite \textit{H. Bessaih} et al., Stoch. Dyn. 22, No. 3, Article ID 2240022, 19 p. (2022; Zbl 1490.76203) Full Text: DOI
Gärttner, Stephan; Frolkovič, Peter; Knabner, Peter; Ray, Nadja Efficiency of micro-macro models for reactive two-mineral systems. (English) Zbl 1507.35177 Multiscale Model. Simul. 20, No. 1, 433-461 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q74 76S05 76V05 74F10 74L10 65M60 65M06 65N30 65N50 65M12 65H10 65F08 65F10 35C20 35B27 68T07 76M10 76M20 74S05 74S20 PDFBibTeX XMLCite \textit{S. Gärttner} et al., Multiscale Model. Simul. 20, No. 1, 433--461 (2022; Zbl 1507.35177) Full Text: DOI
Jiang, Yuehua; Sun, HongGuang; Bai, Yu; Zhang, Yan MHD flow, radiation heat and mass transfer of fractional Burgers’ fluid in porous medium with chemical reaction. (English) Zbl 1524.76017 Comput. Math. Appl. 115, 68-79 (2022). MSC: 76A10 35R11 65M06 76M20 26A33 76V05 76S05 80A19 80A21 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Comput. Math. Appl. 115, 68--79 (2022; Zbl 1524.76017) Full Text: DOI
Gallouët, Thomas O.; Mérigot, Quentin; Natale, Andrea Convergence of a Lagrangian discretization for barotropic fluids and porous media flow. (English) Zbl 1492.35201 SIAM J. Math. Anal. 54, No. 3, 2990-3018 (2022). MSC: 35Q31 76S05 35L65 35B65 65M12 65M50 76M28 76M30 PDFBibTeX XMLCite \textit{T. O. Gallouët} et al., SIAM J. Math. Anal. 54, No. 3, 2990--3018 (2022; Zbl 1492.35201) Full Text: DOI arXiv
Bekmaganbetov, K. A.; Toleubai, A. M.; Chechkin, G. A. Attractors of the Navier-Stokes equations in a two-dimensional porous medium. (English. Russian original) Zbl 1489.35180 J. Math. Sci., New York 262, No. 3, 246-261 (2022); translation from Probl. Mat. Anal. 115, 15-28 (2022). MSC: 35Q30 76D05 76S05 35B41 PDFBibTeX XMLCite \textit{K. A. Bekmaganbetov} et al., J. Math. Sci., New York 262, No. 3, 246--261 (2022; Zbl 1489.35180); translation from Probl. Mat. Anal. 115, 15--28 (2022) Full Text: DOI
Roidos, Nikolaos; Shao, Yuanzhen Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation. (English) Zbl 1490.35208 Evol. Equ. Control Theory 11, No. 3, 793-825 (2022). MSC: 35K65 26A33 35K59 35K67 35R01 35R11 39B62 76S05 PDFBibTeX XMLCite \textit{N. Roidos} and \textit{Y. Shao}, Evol. Equ. Control Theory 11, No. 3, 793--825 (2022; Zbl 1490.35208) Full Text: DOI arXiv
Araújo, Damião J.; Teymurazyan, Rafayel An optimal Liouville theorem for the porous medium equation. (English) Zbl 1487.35138 Arch. Math. 118, No. 4, 427-433 (2022). MSC: 35B53 35K65 35K59 76S05 PDFBibTeX XMLCite \textit{D. J. Araújo} and \textit{R. Teymurazyan}, Arch. Math. 118, No. 4, 427--433 (2022; Zbl 1487.35138) Full Text: DOI arXiv
Duan, Chenghua; Chen, Wenbin; Liu, Chun; Wang, Cheng; Yue, Xingye A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach. (English) Zbl 1496.65110 Commun. Math. Sci. 20, No. 4, 978-1024 (2022). MSC: 65M06 65N06 65M12 65M15 35K35 35K55 35K65 35A15 35C20 49J40 76S05 35Q35 PDFBibTeX XMLCite \textit{C. Duan} et al., Commun. Math. Sci. 20, No. 4, 978--1024 (2022; Zbl 1496.65110) Full Text: DOI
Wolf, Sylvain Homogenization of the Stokes system in a non-periodically perforated domain. (English) Zbl 1485.35029 Multiscale Model. Simul. 20, No. 1, 72-106 (2022). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35J25 76M50 PDFBibTeX XMLCite \textit{S. Wolf}, Multiscale Model. Simul. 20, No. 1, 72--106 (2022; Zbl 1485.35029) Full Text: DOI arXiv
Auton, L. C.; Pramanik, S.; Dalwadi, M. P.; MacMinn, C. W.; Griffiths, I. M. A homogenised model for flow, transport and sorption in a heterogeneous porous medium. (English) Zbl 1486.76078 J. Fluid Mech. 932, Paper No. A34, 33 p. (2022). Reviewer: Adrian Muntean (Karlstad) MSC: 76S05 76T20 76D07 76M50 PDFBibTeX XMLCite \textit{L. C. Auton} et al., J. Fluid Mech. 932, Paper No. A34, 33 p. (2022; Zbl 1486.76078) Full Text: DOI arXiv
Narayana, M.; Shekar, M.; Siddheshwar, P. G.; Anuraj, N. V. On the differential transform method of solving boundary eigenvalue problems: an illustration. (English) Zbl 07813055 ZAMM, Z. Angew. Math. Mech. 101, No. 5, Article ID e202000114, 18 p. (2021). MSC: 65Lxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{M. Narayana} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 5, Article ID e202000114, 18 p. (2021; Zbl 07813055) Full Text: DOI
Reddy, M. Gnaneswara; R, Naveen Kumar; Prasannakumara, B. C.; Rudraswamy, N. G.; Ganesh Kumar, K. Magnetohydrodynamic flow and heat transfer of a hybrid nanofluid over a rotating disk by considering Arrhenius energy. (English) Zbl 1521.76913 Commun. Theor. Phys. 73, No. 4, Article ID 045002, 12 p. (2021). MSC: 76W05 76D05 76S05 76U05 76A05 76T20 80A19 PDFBibTeX XMLCite \textit{M. G. Reddy} et al., Commun. Theor. Phys. 73, No. 4, Article ID 045002, 12 p. (2021; Zbl 1521.76913) Full Text: DOI
Benedikt, Jiří; Girg, Petr; Kotrla, Lukáš Nonlinear models of the fluid flow in porous media and their methods of study. (English) Zbl 1504.35290 Domoshnitsky, Alexander (ed.) et al., Functional differential equations and applications, FDEA-2019. Proceedings of the 7th international conference, Ariel, Israel, September 22–27, 2019. Singapore: Springer. Springer Proc. Math. Stat. 379, 15-42 (2021). MSC: 35Q35 76S05 76N15 76F50 74L10 86A05 35K59 35K92 35K65 35A01 35B65 35B50 35R10 PDFBibTeX XMLCite \textit{J. Benedikt} et al., Springer Proc. Math. Stat. 379, 15--42 (2021; Zbl 1504.35290) Full Text: DOI
Koroleva, Yulia O.; Khanukaeva, Daria Yu. Estimates of characteristics of a micropolar flow passing through an axially symmetric cell. (English) Zbl 1504.76081 Electron. J. Differ. Equ. 2021, Paper No. 74, 16 p. (2021). MSC: 76S05 76A99 35Q35 PDFBibTeX XMLCite \textit{Y. O. Koroleva} and \textit{D. Yu. Khanukaeva}, Electron. J. Differ. Equ. 2021, Paper No. 74, 16 p. (2021; Zbl 1504.76081) Full Text: Link
Asgir, Maryam; Zafar, A. A.; Alsharif, Abdullah M.; Riaz, Muhammad Bilal; Abbas, Muhammad Special function form exact solutions for Jeffery fluid: an application of power law kernel. (English) Zbl 1494.76083 Adv. Difference Equ. 2021, Paper No. 384, 18 p. (2021). MSC: 76R10 76S05 35R11 26A33 35Q35 35C05 PDFBibTeX XMLCite \textit{M. Asgir} et al., Adv. Difference Equ. 2021, Paper No. 384, 18 p. (2021; Zbl 1494.76083) Full Text: DOI
Kausar, Muhammad Salman; Hussanan, Abid; Qasim, Muhammad; Mamat, Mustafa Flow of water based nanofluid containing different shapes of cu nanoparticles embedded in a porous medium. (English) Zbl 1487.80007 Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 107, 16 p. (2021). MSC: 80A19 76T20 76S05 76R10 35A15 65L06 PDFBibTeX XMLCite \textit{M. S. Kausar} et al., Int. J. Appl. Comput. Math. 7, No. 3, Paper No. 107, 16 p. (2021; Zbl 1487.80007) Full Text: DOI
Varsoliwala, Archana; Singh, Twinkle; Shah, Kunjan Hybrid approach for the study of concentration of the longitudinal dispersion phenomenon. (English) Zbl 1499.76118 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 233, 10 p. (2021). MSC: 76S05 65M99 PDFBibTeX XMLCite \textit{A. Varsoliwala} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 233, 10 p. (2021; Zbl 1499.76118) Full Text: DOI
Zhao, Jiyuan; Liu, Weitao; Shen, Jianjun; Xu, Minghan; Sasmito, Agus P. Fractal treelike fracture network model for hydraulically and mechanically induced dynamic changes in the non-Darcy coefficient during the process of mine water inrush from collapsed columns. (English) Zbl 1482.74156 Fractals 29, No. 7, Article ID 2150218, 23 p. (2021). MSC: 74R99 74F10 74L10 74S05 76S05 28A80 PDFBibTeX XMLCite \textit{J. Zhao} et al., Fractals 29, No. 7, Article ID 2150218, 23 p. (2021; Zbl 1482.74156) Full Text: DOI
Hillairet, M. Derivation of the Stokes-Brinkman problem and extension to the Darcy regime. (English) Zbl 1481.76212 J. Elliptic Parabol. Equ. 7, No. 2, 341-360 (2021). Reviewer: Adrian Muntean (Karlstad) MSC: 76S05 76D07 76M50 35Q35 PDFBibTeX XMLCite \textit{M. Hillairet}, J. Elliptic Parabol. Equ. 7, No. 2, 341--360 (2021; Zbl 1481.76212) Full Text: DOI
Marušić-Paloka, Eduard Application of very weak formulation on homogenization of boundary value problems in porous media. (English) Zbl 1524.35062 Czech. Math. J. 71, No. 4, 975-989 (2021). MSC: 35B27 76M50 35Q30 PDFBibTeX XMLCite \textit{E. Marušić-Paloka}, Czech. Math. J. 71, No. 4, 975--989 (2021; Zbl 1524.35062) Full Text: DOI
Patiño, Iván David; Nieto-Londoño, César Boundary element techniques for multiscale filling simulations in dual-scale fibrous reinforcements using two lumped approaches. (English) Zbl 1478.76055 Comput. Mech. 68, No. 6, 1223-1266 (2021). MSC: 76M15 76S05 PDFBibTeX XMLCite \textit{I. D. Patiño} and \textit{C. Nieto-Londoño}, Comput. Mech. 68, No. 6, 1223--1266 (2021; Zbl 1478.76055) Full Text: DOI
David, Noemi; Perthame, Benoît Free boundary limit of a tumor growth model with nutrient. (English. French summary) Zbl 1478.35210 J. Math. Pures Appl. (9) 155, 62-82 (2021). MSC: 35Q92 92C37 35B45 35K57 35K65 76N10 76D27 76S05 76T99 35R35 PDFBibTeX XMLCite \textit{N. David} and \textit{B. Perthame}, J. Math. Pures Appl. (9) 155, 62--82 (2021; Zbl 1478.35210) Full Text: DOI arXiv HAL
De Paula, R.; Gonçalves, P.; Neumann, A. Energy estimates and convergence of weak solutions of the porous medium equation. (English) Zbl 1481.60202 Nonlinearity 34, No. 11, 7872-7915 (2021). MSC: 60K35 76S05 35K60 PDFBibTeX XMLCite \textit{R. De Paula} et al., Nonlinearity 34, No. 11, 7872--7915 (2021; Zbl 1481.60202) Full Text: DOI arXiv
Xu, Wei; Sun, Tao Global solvability to a 3D chemotaxis-fluid model with matrix-valued supercritical sensitivities. (English) Zbl 1471.76098 Acta Appl. Math. 173, Paper No. 12, 31 p. (2021). MSC: 76Z05 76R50 76S05 92C17 35Q30 35Q92 PDFBibTeX XMLCite \textit{W. Xu} and \textit{T. Sun}, Acta Appl. Math. 173, Paper No. 12, 31 p. (2021; Zbl 1471.76098) Full Text: DOI
Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Florin Adrian The fixed-stress splitting scheme for Biot’s equations as a modified Richardson iteration: implications for optimal convergence. (English) Zbl 1500.76053 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 909-917 (2021). Reviewer: Sebastien Boyabal (Chatou) MSC: 76M10 76S05 65N12 PDFBibTeX XMLCite \textit{E. Storvik} et al., Lect. Notes Comput. Sci. Eng. 139, 909--917 (2021; Zbl 1500.76053) Full Text: DOI arXiv
Liu, Wei; Röckner, Michael; Luís da Silva, José Strong dissipativity of generalized time-fractional derivatives and quasi-linear (stochastic) partial differential equations. (English) Zbl 1469.35227 J. Funct. Anal. 281, No. 8, Article ID 109135, 34 p. (2021). MSC: 35R11 60H15 35K59 76S05 26A33 45K05 35K92 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Funct. Anal. 281, No. 8, Article ID 109135, 34 p. (2021; Zbl 1469.35227) Full Text: DOI arXiv
Araújo, Damião J. Higher regularity estimates for the porous medium equation near the heat equation. (English) Zbl 1468.35024 Rev. Mat. Iberoam. 37, No. 5, 1747-1760 (2021). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35B65 35K65 76S05 35K59 PDFBibTeX XMLCite \textit{D. J. Araújo}, Rev. Mat. Iberoam. 37, No. 5, 1747--1760 (2021; Zbl 1468.35024) Full Text: DOI arXiv
Ouyang, Baiping; Li, Yuanfei Continuous dependence for a class of fluid equations in porous medium. (Chinese. English summary) Zbl 1474.35072 J. Shandong Univ., Nat. Sci. 56, No. 2, 103-110 (2021). MSC: 35B30 35B35 35Q35 76S05 PDFBibTeX XMLCite \textit{B. Ouyang} and \textit{Y. Li}, J. Shandong Univ., Nat. Sci. 56, No. 2, 103--110 (2021; Zbl 1474.35072)
Zhao, Helei Gradient estimate for positive solutions of the PME under geometric flow. (English) Zbl 1474.35064 J. Math., Wuhan Univ. 41, No. 1, 57-70 (2021). MSC: 35B09 35Q35 76S05 PDFBibTeX XMLCite \textit{H. Zhao}, J. Math., Wuhan Univ. 41, No. 1, 57--70 (2021; Zbl 1474.35064) Full Text: DOI
Chapman, S. Jonathan; Wilmott, Zachary M. Homogenization of flow through periodic networks. (English) Zbl 1468.35013 SIAM J. Appl. Math. 81, No. 3, 1034-1051 (2021). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 76M50 78M40 80M40 34B45 39A06 PDFBibTeX XMLCite \textit{S. J. Chapman} and \textit{Z. M. Wilmott}, SIAM J. Appl. Math. 81, No. 3, 1034--1051 (2021; Zbl 1468.35013) Full Text: DOI
Dirr, Nicolas; Grillmeier, Hubertus; Grün, Günther On stochastic porous-medium equations with critical-growth conservative multiplicative noise. (English) Zbl 1465.35423 Discrete Contin. Dyn. Syst. 41, No. 6, 2829-2871 (2021). MSC: 35R60 35R35 35K65 35K59 37M05 60H15 65N30 76S05 PDFBibTeX XMLCite \textit{N. Dirr} et al., Discrete Contin. Dyn. Syst. 41, No. 6, 2829--2871 (2021; Zbl 1465.35423) Full Text: DOI
Rohan, Eduard; Cimrman, Robert; Naili, Salah Modelling of acoustic waves in homogenized fluid-saturated deforming poroelastic periodic structures under permanent flow. (English) Zbl 1465.76094 J. Comput. Appl. Math. 394, Article ID 113536, 27 p. (2021). MSC: 76Q05 76S05 76M50 74F10 PDFBibTeX XMLCite \textit{E. Rohan} et al., J. Comput. Appl. Math. 394, Article ID 113536, 27 p. (2021; Zbl 1465.76094) Full Text: DOI
Sváček, Petr; Horáček, Jaromír FE numerical simulation of incompressible airflow in the glottal channel periodically closed by self-sustained vocal folds vibration. (English) Zbl 1468.65152 J. Comput. Appl. Math. 393, Article ID 113529, 11 p. (2021). MSC: 65M60 65M06 65M15 65M12 76D05 76S05 76Q05 74F10 74D05 74H15 74M15 PDFBibTeX XMLCite \textit{P. Sváček} and \textit{J. Horáček}, J. Comput. Appl. Math. 393, Article ID 113529, 11 p. (2021; Zbl 1468.65152) Full Text: DOI
Khan, M. Ijaz; Qayyum, Sumaira; Farooq, Shahid; Chu, Yu-Ming; Kadry, Seifedine Modeling and simulation of micro-rotation and spin gradient viscosity for ferromagnetic hybrid (manganese zinc ferrite, nickle zinc ferrite) nanofluids. (English) Zbl 07331072 Math. Comput. Simul. 185, 497-509 (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{M. I. Khan} et al., Math. Comput. Simul. 185, 497--509 (2021; Zbl 07331072) Full Text: DOI
Diehl, Nicolau M. L. Improved regularity for the inhomogeneous porous medium equation. (English) Zbl 1459.35063 J. Math. Anal. Appl. 494, No. 1, Article ID 124593, 8 p. (2021). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B65 35K55 76S05 35K59 35K65 PDFBibTeX XMLCite \textit{N. M. L. Diehl}, J. Math. Anal. Appl. 494, No. 1, Article ID 124593, 8 p. (2021; Zbl 1459.35063) Full Text: DOI
Zeng, Huihui Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenblatt solutions. (Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenlatt solutions.) (English) Zbl 1469.76096 Arch. Ration. Mech. Anal. 239, No. 1, 553-597 (2021). Reviewer: Václav Mácha (Praha) MSC: 76N10 76S05 35Q31 PDFBibTeX XMLCite \textit{H. Zeng}, Arch. Ration. Mech. Anal. 239, No. 1, 553--597 (2021; Zbl 1469.76096) Full Text: DOI arXiv
Choudhary, Sushila; Yadav, Bhagawan Singh Slip flow and heat transfer of MHD power law fluid over a porous sheet in the presence of Joule heating and heat source/sink. (English) Zbl 1513.76015 Jñānābha 50, No. 2, 254-264 (2020). MSC: 76A05 76S05 76W05 65L06 80A19 PDFBibTeX XMLCite \textit{S. Choudhary} and \textit{B. S. Yadav}, Jñānābha 50, No. 2, 254--264 (2020; Zbl 1513.76015) Full Text: Link
Zhang, Duo; Shu, Lan; Li, Shunchu Fuzzy structural element method for solving fuzzy dual medium seepage model in reservoir. (English) Zbl 1492.76111 Soft Comput. 24, No. 21, 16097-16110 (2020). MSC: 76S05 PDFBibTeX XMLCite \textit{D. Zhang} et al., Soft Comput. 24, No. 21, 16097--16110 (2020; Zbl 1492.76111) Full Text: DOI
Betelin, V. B.; Galkin, V. A.; Dubovik, A. O. Exact solutions of incompressible Navier-Stokes equations in the case of oil and gas industrial problems. (English. Russian original) Zbl 1481.76205 Dokl. Math. 102, No. 3, 456-459 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 13-16 (2020). MSC: 76S05 76D05 76D17 PDFBibTeX XMLCite \textit{V. B. Betelin} et al., Dokl. Math. 102, No. 3, 456--459 (2020; Zbl 1481.76205); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 13--16 (2020) Full Text: DOI
Li, Shihu; Liu, Wei; Xie, Yingchao Small time asymptotics for SPDEs with locally monotone coefficients. (English) Zbl 1464.60066 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4801-4822 (2020). MSC: 60H15 60F10 76S05 35J92 35K57 PDFBibTeX XMLCite \textit{S. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4801--4822 (2020; Zbl 1464.60066) Full Text: DOI arXiv
Oyekunle, T. L.; Agunbiade, S. A. Diffusion-thermo and thermal-diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate. (English) Zbl 07330514 J. Egypt. Math. Soc. 28, Paper No. 51, 19 p. (2020). MSC: 65L60 76A05 76M55 76Sxx 76W05 PDFBibTeX XMLCite \textit{T. L. Oyekunle} and \textit{S. A. Agunbiade}, J. Egypt. Math. Soc. 28, Paper No. 51, 19 p. (2020; Zbl 07330514) Full Text: DOI
Yadav, P. K.; Tiwari, A.; Singh, P. Motion through spherical droplet with non-homogenous porous layer in spherical container. (English) Zbl 1457.76171 AMM, Appl. Math. Mech., Engl. Ed. 41, No. 7, 1069-1082 (2020). MSC: 76S05 76D05 76D07 PDFBibTeX XMLCite \textit{P. K. Yadav} et al., AMM, Appl. Math. Mech., Engl. Ed. 41, No. 7, 1069--1082 (2020; Zbl 1457.76171) Full Text: DOI
Geshkovski, Borjan Null-controllability of perturbed porous medium gas flow. (English) Zbl 1460.93015 ESAIM, Control Optim. Calc. Var. 26, Paper No. 85, 30 p. (2020). MSC: 93B05 93C20 35K65 35K55 76S05 PDFBibTeX XMLCite \textit{B. Geshkovski}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 85, 30 p. (2020; Zbl 1460.93015) Full Text: DOI HAL
Imbert, Cyril; Tarhini, Rana; Vigneron, François Regularity of solutions of a fractional porous medium equation. (English) Zbl 1460.35288 Interfaces Free Bound. 22, No. 4, 401-442 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 76S05 35R11 35B65 PDFBibTeX XMLCite \textit{C. Imbert} et al., Interfaces Free Bound. 22, No. 4, 401--442 (2020; Zbl 1460.35288) Full Text: DOI arXiv
Schneider, Martin; Weishaupt, Kilian; Gläser, Dennis; Boon, Wietse M.; Helmig, Rainer Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems. (English) Zbl 1453.76109 J. Comput. Phys. 401, Article ID 109012, 17 p. (2020). MSC: 76M12 76S05 76N06 PDFBibTeX XMLCite \textit{M. Schneider} et al., J. Comput. Phys. 401, Article ID 109012, 17 p. (2020; Zbl 1453.76109) Full Text: DOI arXiv
Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach. (English) Zbl 1463.65333 Numer. Math., Theory Methods Appl. 13, No. 1, 63-80 (2020). MSC: 65M75 65M12 76S05 35K65 35A15 35C08 65M15 35Q35 PDFBibTeX XMLCite \textit{C. Duan} et al., Numer. Math., Theory Methods Appl. 13, No. 1, 63--80 (2020; Zbl 1463.65333) Full Text: DOI arXiv
Guy, Hayley; Alexanderian, Alen; Yu, Meilin A distributed active subspace method for scalable surrogate modeling of function valued outputs. (English) Zbl 1453.65009 J. Sci. Comput. 85, No. 2, Paper No. 36, 24 p. (2020). MSC: 65C05 65C30 65F55 62R07 76S05 PDFBibTeX XMLCite \textit{H. Guy} et al., J. Sci. Comput. 85, No. 2, Paper No. 36, 24 p. (2020; Zbl 1453.65009) Full Text: DOI arXiv
Abdullah Al Mahbub, Md.; He, Xiaoming; Nasu, Nasrin Jahan; Qiu, Changxin; Wang, Yifan; Zheng, Haibiao A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system. (English) Zbl 1459.76076 SIAM J. Sci. Comput. 42, No. 4, B951-B982 (2020). MSC: 76M10 76S05 80A19 86A05 PDFBibTeX XMLCite \textit{Md. Abdullah Al Mahbub} et al., SIAM J. Sci. Comput. 42, No. 4, B951--B982 (2020; Zbl 1459.76076) Full Text: DOI
Monakov, G. V.; Tikhomirov, S. B.; Yakovlev, A. A. Displacement of viscous fluids in a set of parallel pipes. (English. Russian original) Zbl 1450.35220 Comput. Math. Math. Phys. 60, No. 3, 484-497 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 489-502 (2020). MSC: 35Q35 76S05 45D05 35R30 PDFBibTeX XMLCite \textit{G. V. Monakov} et al., Comput. Math. Math. Phys. 60, No. 3, 484--497 (2020; Zbl 1450.35220); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 489--502 (2020) Full Text: DOI
Wang, Yang; Chen, Yanping; Huang, Yunqing A two-grid Eulerian-Lagrangian localized adjoint method to miscible displacement problems with dispersion term. (English) Zbl 1446.65119 Comput. Math. Appl. 80, No. 4, 54-68 (2020). MSC: 65M60 65M55 65M22 65N30 76S05 76M10 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Math. Appl. 80, No. 4, 54--68 (2020; Zbl 1446.65119) Full Text: DOI
Kitavtsev, Georgy; Taranets, Roman M. Long-time behaviour of solutions to a singular heat equation with an application to hydrodynamics. (English) Zbl 1445.35063 Interfaces Free Bound. 22, No. 2, 157-174 (2020). MSC: 35B40 35K59 35K67 76D27 PDFBibTeX XMLCite \textit{G. Kitavtsev} and \textit{R. M. Taranets}, Interfaces Free Bound. 22, No. 2, 157--174 (2020; Zbl 1445.35063) Full Text: DOI arXiv
Yang, Ying; Wang, Lizhen Lie symmetry analysis for the space-time fractional porous medium equations. (Chinese. English summary) Zbl 1449.35017 J. Northwest Univ., Nat. Sci. Ed. 50, No. 1, 88-92 (2020). MSC: 35B06 35R11 76S05 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{L. Wang}, J. Northwest Univ., Nat. Sci. Ed. 50, No. 1, 88--92 (2020; Zbl 1449.35017) Full Text: DOI
Dao, Nguyen Anh; Díaz, Jesus Ildefonso Energy and large time estimates for nonlinear porous medium flow with nonlocal pressure in \(\mathbb{R}^N\). (English) Zbl 1447.35262 Arch. Ration. Mech. Anal. 238, No. 1, 299-345 (2020). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 76S05 76N10 35R11 26A33 35D30 35R35 80A19 PDFBibTeX XMLCite \textit{N. A. Dao} and \textit{J. I. Díaz}, Arch. Ration. Mech. Anal. 238, No. 1, 299--345 (2020; Zbl 1447.35262) Full Text: DOI
Rybak, Iryna; Metzger, Stefan A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media. (English) Zbl 1474.35539 Appl. Math. Comput. 384, Article ID 125260, 14 p. (2020). MSC: 35Q35 76B03 76D07 76S05 PDFBibTeX XMLCite \textit{I. Rybak} and \textit{S. Metzger}, Appl. Math. Comput. 384, Article ID 125260, 14 p. (2020; Zbl 1474.35539) Full Text: DOI
Kori, Jyoti; Pratibha Analysis of the flow dynamics of blood through viscoelastic constricted artery. (English) Zbl 1444.76142 Int. J. Appl. Comput. Math. 6, No. 2, Paper No. 41, 17 p. (2020). MSC: 76Z05 76T20 76S05 76D05 74F10 92C10 PDFBibTeX XMLCite \textit{J. Kori} and \textit{Pratibha}, Int. J. Appl. Comput. Math. 6, No. 2, Paper No. 41, 17 p. (2020; Zbl 1444.76142) Full Text: DOI
Marras, Monica; Pintus, Nicola; Viglialoro, Giuseppe On the lifespan of classical solutions to a non-local porous medium problem with nonlinear boundary conditions. (English) Zbl 1448.35296 Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2033-2045 (2020). MSC: 35K55 35K57 35A01 35B44 76S05 PDFBibTeX XMLCite \textit{M. Marras} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 7, 2033--2045 (2020; Zbl 1448.35296) Full Text: DOI arXiv
Khrennikov, Andrei Yu.; Kochubei, Anatoly N. On the \(p\)-adic Navier-Stokes equation. (English) Zbl 1446.35277 Appl. Anal. 99, No. 8, 1425-1435 (2020). MSC: 35S10 11S80 30G06 35Q30 76S05 PDFBibTeX XMLCite \textit{A. Yu. Khrennikov} and \textit{A. N. Kochubei}, Appl. Anal. 99, No. 8, 1425--1435 (2020; Zbl 1446.35277) Full Text: DOI arXiv
Abro, Kashif Ali; Khan, Ilyas MHD flow of fractional Newtonian fluid embedded in a porous medium via Atangana-Baleanu fractional derivatives. (English) Zbl 1434.76145 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 377-387 (2020). MSC: 76W05 76S05 35Q35 35R11 PDFBibTeX XMLCite \textit{K. A. Abro} and \textit{I. Khan}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 377--387 (2020; Zbl 1434.76145) Full Text: DOI
Frasca-Caccia, Gianluca; Hydon, Peter Ellsworth Simple bespoke preservation of two conservation laws. (English) Zbl 1466.65063 IMA J. Numer. Anal. 40, No. 2, 1294-1329 (2020). MSC: 65M06 35A30 76S05 80A19 35Q53 35Q79 PDFBibTeX XMLCite \textit{G. Frasca-Caccia} and \textit{P. E. Hydon}, IMA J. Numer. Anal. 40, No. 2, 1294--1329 (2020; Zbl 1466.65063) Full Text: DOI arXiv Link
Antoniouk, Alexandra V.; Khrennikov, Andrei Yu.; Kochubei, Anatoly N. Multidimensional nonlinear pseudo-differential evolution equation with \(p\)-adic spatial variables. (English) Zbl 1454.35423 J. Pseudo-Differ. Oper. Appl. 11, No. 1, 311-343 (2020). Reviewer: Manuel Cruz-López (Guanajuato) MSC: 35S10 47J35 11S80 60J25 76S05 35K65 35R11 PDFBibTeX XMLCite \textit{A. V. Antoniouk} et al., J. Pseudo-Differ. Oper. Appl. 11, No. 1, 311--343 (2020; Zbl 1454.35423) Full Text: DOI arXiv