Qin, Yuming; Wang, Xiuqing Local existence of solutions to 3D Prandtl equations with a special structure. (English. French summary) Zbl 07980672 J. Math. Pures Appl. (9) 194, Article ID 103670, 42 p. (2025). MSC: 76D10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liang, Jiawei; Lv, Junliang; Niu, Tian Convergence of the PML method for time-domain acoustic scattering problem in three dimensions. (English) Zbl 07978261 Discrete Contin. Dyn. Syst., Ser. B 30, No. 4, 1390-1414 (2025). MSC: 35P25 35A01 35A02 35L20 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Seongyeon; Lee, Hyeongjin; Seo, Ihyeok On Dirac equations with Hartree type nonlinearity in modulation spaces. (English) Zbl 07978164 Arch. Math. 124, No. 2, 195-204 (2025). MSC: 35Q40 42B35 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Mingming; Su, Xiaoyan; Zheng, Jiqiang Growth of Sobolev norms for 2D cubic NLS with partial harmonic potential. (English) Zbl 07977845 Commun. Pure Appl. Anal. 24, No. 3, 314-337 (2025). MSC: 35Q55 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Yanbo; Sugiyama, Yuusuke Well-posedness of the initial-boundary value problem for 1D degenerate quasilinear wave equations. (English) Zbl 07977089 Adv. Differ. Equ. 30, No. 3-4, 177-206 (2025). MSC: 35L20 35L72 35L80 × Cite Format Result Cite Review PDF Full Text: DOI
Carreño-Diaz, J. F.; Kaikina, E. I. Neumann problem for fractional Ginzburg-Landau equation on an upper-right quarter plane. (Neumann problem for fractional Ginzburg-Landau equation on a upper-right quarter plane.) (English) Zbl 07968320 J. Differ. Equations 418, 258-304 (2025). MSC: 35Q56 26A33 35R11 35B65 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Ningning; Yao, Lei Global well-posedness of the Navier-Stokes-Darcy system in 3D horizontally infinite strip domain. (English) Zbl 07965949 J. Geom. Anal. 35, No. 2, Paper No. 51, 23 p. (2025). MSC: 35Q30 35Q35 76D05 76S05 76T06 35A01 35A02 35D35 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Noguera, Norman Blow-up solutions to a class of nonlinear coupled Schrödinger systems with power-type-growth nonlinearities. (English) Zbl 07965227 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 33, 44 p. (2025). MSC: 35Q55 35A01 35B44 35J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takeuchi, Taiki Well-posedness and inviscid limits for the Keller-Segel-Navier-Stokes system of the parabolic-elliptic type. (English) Zbl 07964159 Math. Nachr. 298, No. 1, 53-86 (2025). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35Q35 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
de Jesus, Rafael Oliveira; Raposo, Carlos Alberto; Ribeiro, Joilson Oliveira; Villagran, Octavio Vera Timoshenko system with internal dissipation of fractional derivative type. (English) Zbl 07960345 J. Appl. Anal. Comput. 15, No. 2, 1146-1169 (2025). MSC: 26A33 35Q70 35A01 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Jeong, In-Jee; Kim, Junha; Yao, Yao On well-posedness of \(\alpha \)-SQG equations in the half-plane. (English) Zbl 07959108 Trans. Am. Math. Soc. 378, No. 1, 421-446 (2025). MSC: 76U60 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, Zhenyu; Wang, Ying; Zhu, Min On the Cauchy problem for a combined mCH-Novikov integrable equation with linear dispersion. (English) Zbl 07957299 J. Differ. Equations 416, Part 1, 727-767 (2025). MSC: 35B44 35G25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
da Silva, Priscila L. Global analytic solutions of a pseudospherical Novikov equation. (English) Zbl 07955751 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 251, Article ID 113689, 9 p. (2025). MSC: 35Q53 35B65 35A01 35A02 37K10 35A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Esfahani, Amin; Tesfahun, Achenef Well-posedness and analyticity of solutions for the sixth-order Boussinesq equation. (English) Zbl 07955303 Commun. Contemp. Math. 27, No. 2, Article ID 2450005, 29 p. (2025). MSC: 35A20 35B45 35L70 35Q53 37K10 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carvajal, X.; Gamboa, P.; Santos, R. Global well-posedness for the higher order non-linear Schrödinger equation in modulation spaces. (English) Zbl 07954263 J. Math. Anal. Appl. 543, No. 2, Part 1, Article ID 128985, 20 p. (2025). MSC: 35Q55 35Q41 35Q53 35G25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Girardi, Giovanni Critical non-linearity for some evolution equations with Fujita-type critical exponent. (English) Zbl 07951784 NoDEA, Nonlinear Differ. Equ. Appl. 32, No. 1, Paper No. 3, 39 p. (2025). Reviewer: Michael Reissig (Freiberg) MSC: 35L30 35A01 35B33 35G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mai, La-Su; Wang, Chun Local smooth solutions to the Euler-Poisson equations for semiconductor in vacuum. (English) Zbl 07946887 J. Math. Anal. Appl. 543, No. 1, Article ID 128915, 30 p. (2025). MSC: 35Qxx 35Bxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Shindin, Sergey; Parumasur, Nabendra Global low regularity solutions to the Benjamin equation in weighted spaces. (English) Zbl 07943136 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 250, Article ID 113674, 15 p. (2025). MSC: 35Q53 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Mai, La-Su; Fu, Xiaonan Local well-posedness of drift-diffusion equation with degeneracy. (English) Zbl 07933921 J. Math. Anal. Appl. 542, No. 1, Article ID 128836, 31 p. (2025). MSC: 35Q35 76S05 82D37 92C17 35D30 35B45 35R35 35R37 35M33 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Mingming; Wang, Ying Global well-posedness and scattering for the coupled NLS in critical spaces. (English) Zbl 07976456 Appl. Anal. 103, No. 15, 2728-2758 (2024). MSC: 35Q55 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Honglin; Zhou, Changtai; Lai, Shaoyong Local-in-space wave breaking criteria for a shallow water wave equation. (English) Zbl 07976453 Appl. Anal. 103, No. 14, 2660-2676 (2024). MSC: 35B44 35B45 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xin; Li, Shenghao; Zhang, Bing-Yu Effect of lower order terms on the well-posedness of Majda-Biello systems. (English) Zbl 07974261 J. Evol. Equ. 24, No. 4, Paper No. 95, 32 p. (2024). MSC: 35Q53 35D30 35G55 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yufeng; Ruan, Lizhi; Wei, Jing A note on a multi-dimensional radiating gas model with nonlinear radiative inhomogeneity. (English) Zbl 07970735 J. Partial Differ. Equations 37, No. 2, 166-186 (2024). MSC: 35A01 35B51 35L03 35M31 × Cite Format Result Cite Review PDF Full Text: DOI
Fritz, Marvin On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth. (English) Zbl 07966545 Discrete Contin. Dyn. Syst., Ser. S 17, No. 12, 3533-3563 (2024). MSC: 35Q35 35A01 35A02 35D30 35Q92 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Juntao; Yao, Shuai; Zhang, Jian Planar Schrödinger-Poisson system with exponential critical growth: local well-posedness and standing waves with prescribed mass. (English) Zbl 07966115 Stud. Appl. Math. 153, No. 4, Article ID e12760, 33 p. (2024). MSC: 35B35 35B38 35J20 35J61 35Q40 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujii, Mikihiro; Tsurumi, Hiroyuki Well-posedness of the two-dimensional stationary Navier-Stokes equations around a uniform flow. (English) Zbl 07961223 Math. Nachr. 297, No. 12, 4401-4415 (2024). MSC: 35Q30 76D05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biondini, Gino; Prinari, Barbara; Zhang, Zechuan Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening. (English) Zbl 07960698 Adv. Nonlinear Anal. 13, Article ID 20240054, 21 p. (2024). MSC: 35Q55 35Q60 78A60 37K10 37K15 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Ningning; Xu, Fuyi Global unique solutions for an initial-boundary value problem for the 2D dual-porosity-Navier-Stokes system with large initial data. (English) Zbl 07959318 Dyn. Partial Differ. Equ. 22, No. 1, 49-74 (2024). MSC: 35Q30 76D05 76S05 35A01 35A02 35D35 35B50 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Qixiang; Wu, Huoxiong; He, Jianxun; Lou, Zhenzhen Parameter Meyer wavelets, nonlinear decaying rate and new iteration space defined by single norm. (English) Zbl 07959315 Dyn. Partial Differ. Equ. 21, No. 4, 367-396 (2024). MSC: 35Q30 76D03 76D05 42B35 46E30 42C40 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Mun, HakBom; An, JinMyong; Kim, JinMyong The Cauchy problem for the fractional nonlinear Schrödinger equation in Sobolev space. (English) Zbl 07958081 Bull. Belg. Math. Soc. - Simon Stevin 31, No. 3, 278-293 (2024). MSC: 35Q55 35Q41 35B65 35A01 35A02 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuhui; Li, Minling; Yao, Qinghe; Yao, Zheng-an Global well-posedness and optimal time decay rates for the compressible Oldroyd-B model in \(\mathbb{R}^2\). (English) Zbl 07957681 J. Dyn. Differ. Equations 36, No. 4, 3311-3361 (2024). MSC: 35Q35 76A10 76N10 74H40 35B40 35B20 35D30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Aouadi, Moncef The optimal polynomial decay in the extensible Timoshenko system. (English) Zbl 07954371 Math. Nachr. 297, No. 11, 4121-4149 (2024). MSC: 35Q74 74K10 74H55 74F05 74M10 35D30 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Shouming; Zhou, Luhang; Chen, Rong On the Cauchy problem for a two-component higher order Camassa-Holm system. (English) Zbl 07954353 Math. Nachr. 297, No. 10, 3797-3834 (2024). MSC: 35G55 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Mengesha, Tadele; Otárola, Enrique; Salgado, Abner J. Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes. (English) Zbl 07950695 J. Differ. Equations 412, 250-271 (2024). MSC: 35J15 35J61 35A01 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schippa, Robert Improved global well-posedness for mass-critical nonlinear Schrödinger equations on tori. (English) Zbl 07950692 J. Differ. Equations 412, 87-139 (2024). MSC: 35Q55 35Q41 35B10 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aussel, Didier; Chaipunya, Parin Variational and quasi-variational inequalities under local reproducibility: solution concept and applications. (English) Zbl 07950122 J. Optim. Theory Appl. 203, No. 2, 1531-1563 (2024). MSC: 49J40 49J53 49K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qu, Guorong; Wu, Xing; Xiao, Y. Well-posedness and continuity properties of the Fornberg-Whitham equation in the Besov space \(B^1_{\infty ,1}(\mathbb{R})\). (English) Zbl 07939468 Monatsh. Math. 205, No. 4, 839-851 (2024). MSC: 35Q35 76B25 35R07 35L30 35B30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qi, Xueyuan Well-posedness and non-uniform dependence on initial data for the Fornberg-Whitham-type equation in Besov spaces. (English) Zbl 07939467 Monatsh. Math. 205, No. 4, 821-838 (2024). MSC: 35Q35 76B15 76B25 35A01 35A02 35B30 35C08 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Barré, Mathieu; Ciarlet, Patrick The \(\mathtt{T}\)-coercivity approach for mixed problems. (\(\mathtt{T}\)-coercivité et problèmes mixtes.) (English. French summary) Zbl 07939443 C. R., Math., Acad. Sci. Paris 362, 1051-1088 (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J57 76D07 78A30 76M10 78M10 35A01 35A02 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Sifan Rough solutions of the relativistic Euler equations. (English) Zbl 07938516 J. Hyperbolic Differ. Equ. 21, No. 2, 423-500 (2024). MSC: 35Q31 35Q75 35Q35 35L52 35L72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alonso-Orán, Diego; Granero-Belinchón, Rafael Well-posedness and decay for a nonlinear propagation wave model in atmospheric flows. (English) Zbl 07935966 Physica D 469, Article ID 134323, 6 p. (2024). MSC: 35Q86 35Q35 86A10 76U60 35D35 35D30 35K61 35A01 35A02 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christof, Constantin; Kowalczyk, Julia On the omnipresence of spurious local minima in certain neural network training problems. (English) Zbl 07935775 Constr. Approx. 60, No. 2, 197-224 (2024). MSC: 68T07 49K40 90C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Yongqing; Liu, Wenjun; Lv, Guangying; Wang, Yuepeng Continuous data assimilation for the three dimensional primitive equations with magnetic field. (English) Zbl 07935198 Asymptotic Anal. 140, No. 1-2, 77-108 (2024). MSC: 35Q35 35Q86 76W05 76D05 35D35 93B35 86A05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adams, Joseph Well-posedness for the NLS hierarchy. (English) Zbl 07932475 J. Evol. Equ. 24, No. 4, Paper No. 88, 52 p. (2024). MSC: 35Q55 35Q41 35B65 35A01 35A02 35R25 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Röckner, Michael; Shang, Shijie; Zhang, Tusheng Well-posedness of stochastic partial differential equations with fully local monotone coefficients. (English) Zbl 07932384 Math. Ann. 390, No. 3, 3419-3469 (2024). Reviewer: Wenjie Hu (Changsha) MSC: 60H15 35R60 49K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Walker, Christoph On a quasilinear parabolic-hyperbolic system arising in MEMS modeling. (English) Zbl 07931778 Ann. Mat. Pura Appl. (4) 203, No. 6, 2769-2783 (2024). Reviewer: Philippe Laurençot (Chambéry) MSC: 35M10 35K59 35L71 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Enlow, Matthew; Larios, Adam; Wu, Jiahong Calmed 3D Navier-Stokes equations: global well-posedness, energy identities, global attractors, and convergence. (English) Zbl 07931666 J. Nonlinear Sci. 34, No. 6, Paper No. 112, 33 p. (2024). MSC: 35Q35 35Q53 76D05 35K25 35B40 35B65 35B41 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tahraoui, Yassine; Cipriano, Fernanda Invariant measures for a class of stochastic third-grade fluid equations in 2D and 3D bounded domains. (English) Zbl 07931661 J. Nonlinear Sci. 34, No. 6, Paper No. 107, 42 p. (2024). MSC: 35Q35 76A05 76M35 37L40 60H15 60J25 35A01 35A02 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Shenghao; Mu, Chunlai; Zhou, Deqin Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line. (English) Zbl 07930638 Nonlinearity 37, No. 11, Article ID 115009, 27 p. (2024). MSC: 35Q53 35Q55 35G31 35P25 35C08 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jian; Yang, Shaojie Singularity formation for the high-order generalized Fokas-Olver-Rosenau-Qiao equation. (English) Zbl 07930188 Z. Angew. Math. Phys. 75, No. 6, Paper No. 203, 20 p. (2024). MSC: 35A21 35B30 35B44 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Changtai; Xiao, Honglin; Lai, Shaoyong Well-posedness of short time solutions and non-uniform dependence on the initial data for a shallow water wave model in critical Besov space. (English) Zbl 07925459 Monatsh. Math. 205, No. 2, 415-431 (2024). MSC: 35Q35 35Q53 76B15 37K10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaofang; Su, Xianxian; Wang, Kai Wave-breaking phenomena for a new weakly dissipative quasilinear shallow-water waves equation. (English) Zbl 07925450 Monatsh. Math. 205, No. 2, 235-266 (2024). MSC: 35Q35 76B15 76U05 35A01 35A02 35B44 35B65 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hai-Liang; Liang, Chuangchuang Global existence and large-time behavior for primitive equations with the free boundary. (English) Zbl 07923992 Sci. China, Math. 67, No. 10, 2303-2330 (2024). MSC: 35Q30 35Q35 35Q86 76B03 76U05 76E20 86A05 86A10 35D35 35A01 35A02 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abidi, Hammadi; Gui, Guilong; Ke, Xueli Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion. (English) Zbl 07923501 J. Differ. Equations 409, 635-663 (2024). MSC: 35Q30 76D03 76W05 35B07 35B65 35A01 35A02 46E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huo, Wenwen; Teng, Kaimin; Zhang, Chao Global well-posedness and \(L^2\) decay estimate of smooth solutions for the 3-D incompressible Navier-Stokes-Allen-Cahn system. (English) Zbl 07922734 Asymptotic Anal. 139, No. 1-2, 89-109 (2024). MSC: 35Q35 76V05 76T06 35B40 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wenjuan Global well-posedness for the 3D inhomogeneous incompressible magnetohydrodynamics system with axisymmetric data. (English) Zbl 07922102 J. Math. Anal. Appl. 539, No. 1, Part 1, Article ID 128459, 29 p. (2024). MSC: 35Q35 76W05 76D05 35B07 35B65 35D30 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Huaijie Well-posedness of the full Ericksen-Leslie system in bounded domains. (English) Zbl 07922036 Discrete Contin. Dyn. Syst., Ser. B 29, No. 10, 3980-4001 (2024). MSC: 35Q30 76A15 76D07 35D35 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Qiao; Zhao, Jihong Well-posedness of the co-rotational Beris-Edwards system with the Landau-De Gennes energy in \(L_{uloc}^3 (\mathbb{R}^3)\). (English) Zbl 07922033 Discrete Contin. Dyn. Syst. 44, No. 12, 3878-3919 (2024). MSC: 35Q35 76A15 76D03 76D05 76U05 35D30 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Colombo, Rinaldo M.; Garavello, Mauro; Marcellini, Francesca; Rossi, Elena Hyperbolic techniques in epidemiological modeling. (English) Zbl 07921387 Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 325-334 (2024). MSC: 35Q92 92D30 92C60 92D25 92-08 35A01 35A02 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Hongmin; Xiao, Yuelong Global well-posedness and decay to 3D MHD equations with nonlinear damping. (English) Zbl 1548.35205 J. Math. Anal. Appl. 540, No. 2, Article ID 128638, 2(0 p. (2024). MSC: 35Q35 76W05 76D05 76D03 35D35 35D30 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zaiyun; Wang, Dandan; Chen, Jiannan; Xie, Zihan; Xu, Chengzhao Blow-up of solutions for the fourth-order Schrödinger equation with combined power-type nonlinearities. (English) Zbl 07919161 J. Geom. Anal. 34, No. 10, Paper No. 307, 36 p. (2024). MSC: 35Q55 35Q41 35B44 35B30 35A01 35A02 35A15 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Bhimani, Divyang G. The global well-posedness for Klein-Gordon-Hartree equation in modulation spaces. (English) Zbl 1548.35018 J. Differ. Equations 408, 449-467 (2024). MSC: 35A01 35A02 35L71 35R09 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herr, Sebastian; Kwak, Beomjong Strichartz estimates and global well-posedness of the cubic NLS on \(\mathbb{T}^2\). (English) Zbl 1548.35236 Forum Math. Pi 12, Paper No. e14, 21 p. (2024). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 35Q41 52C30 42B10 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Di; Ma, Yangjun On an incompressible inertial nematic electrolyte model of liquid crystal flow. (English) Zbl 07916301 Appl. Anal. 103, No. 9, 1553-1586 (2024). MSC: 35Q35 35Q61 35B45 35A09 35B65 76A15 76W05 78A57 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Ting; Zhang, Weifeng The local well-posedness of the coupled Ostrovsky system with low regularity. (English) Zbl 1547.35688 Nonlinear Anal., Real World Appl. 80, Article ID 104166, 29 p. (2024). MSC: 35Q86 35Q35 35Q53 86A05 76B03 76U60 35A01 35A02 35B65 35C20 35R25 × Cite Format Result Cite Review PDF Full Text: DOI
Yeşilova, Emel Bolat; Luo, Ting The rotational \(b\)-family of equations. (English) Zbl 1547.35610 J. Differ. Equations 407, 374-391 (2024). MSC: 35Q53 35Q31 35Q86 76U60 86A05 35B30 35B40 35G25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Bai, Xiang; Tan, Changhui; Xue, Liutang Global well-posedness and asymptotic behavior for the Euler-alignment system with pressure. (English) Zbl 1547.35512 J. Differ. Equations 407, 269-310 (2024). MSC: 35Q31 76N10 26A33 35R11 35B40 35A21 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Ting On the decay of viscous surface waves in 3D. (English) Zbl 1547.35507 J. Differ. Equations 407, 181-205 (2024). MSC: 35Q30 76D05 76D03 35R35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Chunxiao; Wang, Yuzhu; Xu, Mengtao; Guo, Yanfeng Low regularity for LS type equations on the half line. (English) Zbl 1547.35146 Bull. Malays. Math. Sci. Soc. (2) 47, No. 5, Paper No. 144, 36 p. (2024). MSC: 35B65 35G61 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Correia, Simão; Oliveira, Filipe; Silva, Jorge Drumond Sharp local well-posedness and nonlinear smoothing for dispersive equations through frequency-restricted estimates. (English) Zbl 1546.35186 SIAM J. Math. Anal. 56, No. 4, 5604-5633 (2024). MSC: 35Q53 35Q55 35A01 35A02 35B65 35B44 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chentouf, Boumediène; Guesmia, Aissa; Cortés, Mauricio Sepúlveda; Asem, Rodrigo Véjar Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis. (English) Zbl 1547.35597 Appl. Math. Optim. 90, No. 2, Paper No. 32, 44 p. (2024). MSC: 35Q53 35Q35 35B40 35G31 65M06 65N06 47H10 35B35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Qiu; Xing, Huifang Well-posedness and blow-up criterion for strong solutions of a class of compressible MHD equations. (English) Zbl 1547.35565 J. Math. Anal. Appl. 539, No. 2, Article ID 128565, 31 p. (2024). MSC: 35Q35 35Q30 76A05 76W05 76N10 35B44 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Hwang, Gyeongha Probabilistic radial Strichartz estimates and its application. (English) Zbl 1547.35628 Funkc. Ekvacioj, Ser. Int. 67, No. 2, 199-216 (2024). MSC: 35Q55 35Q41 35J10 42B37 35B65 35A01 35A02 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Aloui, Lassaad; Jbari, Sirine; Tayachi, Slim Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation. (English) Zbl 1547.35613 Evol. Equ. Control Theory 13, No. 4, 1126-1150 (2024). MSC: 35Q55 35Q41 35G20 35G25 35B40 35B44 35P25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abidi, Hammadi; Gui, Guilong; Zhang, Ping On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces. (English) Zbl 1546.35135 J. Differ. Equations 406, 126-173 (2024). MSC: 35Q30 76D03 76D05 35D30 35B65 35A01 35A02 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Yu; Nahmod, Andrea R.; Yue, Haitian The probabilistic scaling paradigm. (English) Zbl 1546.35201 Vietnam J. Math. 52, No. 4, 1001-1015 (2024). MSC: 35Q55 35Q41 35Q60 35Q79 35R60 15A69 15B52 37E20 60H30 60H40 35B65 35A01 35A02 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iandoli, Felice On the quasilinear Schrödinger equations on tori. (English) Zbl 1547.35629 Ann. Mat. Pura Appl. (4) 203, No. 4, 1913-1930 (2024). MSC: 35Q55 35Q41 35A01 35A02 35M11 35S50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bulut, Aynur Probabilistic well-posedness for the nonlinear wave equation on \(B_2 \times\mathbb{T}\). (English) Zbl 1547.35454 Discrete Contin. Dyn. Syst. 44, No. 11, 3553-3571 (2024). MSC: 35L71 35L20 35A01 58J45 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McConnell, Ryan Well-posedness for the non-integrable periodic fifth order KdV in Bourgain spaces. (English) Zbl 1547.35605 Discrete Contin. Dyn. Syst. 44, No. 11, 3507-3552 (2024). MSC: 35Q53 35A01 35A02 35B10 35G30 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Meng; Ma, Qiaozhen; Yang, Xin-Guang; Yuan, Jinyun Local well-posedness of abstract hyperbolic equation with Lipschitz perturbation and non-autonomous operator. (English) Zbl 1547.35459 Appl. Math. Lett. 158, Article ID 109248, 6 p. (2024). MSC: 35L90 35A09 35B20 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Figueira, Renata O.; Nogueira, Marcelo; Panthee, Mahendra Lower bounds on the radius of analyticity for a system of nonlinear quadratic interactions of the Schrödinger-type equations. (English) Zbl 1547.35622 Z. Angew. Math. Phys. 75, No. 4, Paper No. 136, 14 p. (2024). MSC: 35Q55 35Q41 35Q53 35Q35 35A20 35B40 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuhui; Li, Minling; Yao, Qinghe; Yao, Zheng-an Global solutions to the three-dimensional inhomogeneous incompressible Phan-Thien-Tanner system with a class of large initial data. (English) Zbl 1547.35541 Nonlinearity 37, No. 9, Article ID 095035, 59 p. (2024). MSC: 35Q35 35Q30 76A10 76D05 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Yangkendi; Fan, Chenjie; Yang, Kailong; Zhao, Zehua; Zheng, Jiqiang On bilinear Strichartz estimates on waveguides with applications. (English) Zbl 1546.35176 J. Funct. Anal. 287, No. 9, Article ID 110595, 32 p. (2024). MSC: 35Q41 35Q55 35Q60 78A50 78A60 42A38 35B65 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ji; Liu, Yue; Zhu, Guangming Orbital stability of smooth solitons for the modified Camassa-Holm equation. (English) Zbl 1546.35155 Adv. Math. 454, Article ID 109870, 22 p. (2024). MSC: 35Q35 35Q51 35C08 35B35 76B25 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Berjawi, Marwa; El Arwadi, Toufic; Israwi, Samer; Talhouk, Raafat Well-Posedness of the Green-Naghdi model for an uneven bottom in presence of the Coriolis effect and surface tension. (English) Zbl 1547.35514 Stud. Appl. Math. 153, No. 2, Article ID e12725, 42 p. (2024). MSC: 35Q31 35Q35 35Q86 76U60 76B03 76B15 76B45 86A05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Dodson, Benjamin A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton. (English) Zbl 1546.35202 Anal. PDE 17, No. 5, 1693-1760 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35Q41 35C08 35B44 37K35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khanh, P. D.; Khoa, V. V. H.; Mordukhovich, B. S.; Phat, V. T. Variational and strong variational convexity in infinite-dimensional variational analysis. (English) Zbl 1545.49016 SIAM J. Optim. 34, No. 3, 2756-2787 (2024). MSC: 49J52 49J53 47H05 90C30 90C46 49K40 49K27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Briant, Marc; Meunier, Nicolas Well-posedness for systems of self-propelled particles. (English) Zbl 1545.35001 Kinet. Relat. Models 17, No. 4, 659-673 (2024). MSC: 35A01 35D30 35R09 35Q84 92B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Young-Pil; Jung, Jinwook; Kim, Junha A revisit to the pressureless Euler-Navier-Stokes system in the whole space and its optimal temporal decay. (English) Zbl 1545.35091 J. Differ. Equations 401, 231-281 (2024). MSC: 35Q31 35Q30 76D05 76D03 76B03 76T30 35B65 35K05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Rong; Yang, Zhichun; Zhou, Shouming On the Cauchy problem for a wave-structure interaction problem. (English) Zbl 1545.35102 Discrete Contin. Dyn. Syst., Ser. S 17, No. 8, 2640-2653 (2024). MSC: 35Q35 35Q31 76D03 74F10 35G25 35L05 35B44 35D35 35D30 35R35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Debussche, Arnaud; Liu, Ruoyuan; Tzvetkov, Nikolay; Visciglia, Nicola Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space. (English) Zbl 1545.35174 Probab. Theory Relat. Fields 189, No. 3-4, 1161-1218 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 60H15 60H40 35A01 35A02 35R60 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Zhongtian; Kiselev, Alexander Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary. (English) Zbl 1547.35698 J. Funct. Anal. 287, No. 7, Article ID 110541, 46 p. (2024). Reviewer: Rodica Luca (Iaşi) MSC: 35Q92 92C17 92D25 76D07 76R10 35B44 35B65 35D35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mai, La-Su; Suriguga Local well-posedness of 1D degenerate drift diffusion equation. (English) Zbl 1545.35206 Math. Eng. (Springfield) 6, No. 1, Paper No. 7, 172 p. (2024). MSC: 35Q81 35Q60 35Q40 35Q35 82D37 78A35 35B45 35D30 35L80 35R35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Ziwen; Wang, Lizhen Existence and asymptotic stability of mild solution to fractional Keller-Segel-Navier-Stokes system. (English) Zbl 07883058 Math. Methods Appl. Sci. 47, No. 12, 9814-9833 (2024). MSC: 35R11 35A01 35Q35 35Q92 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Hirayama, Hiroyuki; Ikeda, Masahiro Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities. (English) Zbl 1543.35217 Calc. Var. Partial Differ. Equ. 63, No. 7, Paper No. 170, 31 p. (2024). MSC: 35Q55 35Q41 35A01 35A02 35A15 35B35 35B40 35C07 78A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Augner, Björn; Bothe, Dieter Analysis of bulk-surface reaction-sorption-diffusion systems with Langmuir-type adsorption. (English. French summary) Zbl 1543.35102 J. Math. Pures Appl. (9) 188, 215-272 (2024). MSC: 35K61 35A01 35D35 35K57 35Q92 58J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jeong, In-Jee; Said, Ayman R. Logarithmic spirals in 2d perfect fluids. (Spirales logarithmiques des fluides parfaits en 2d.) (English. French summary) Zbl 1548.76023 J. Éc. Polytech., Math. 11, 655-682 (2024). MSC: 76B03 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xi, Xuan-Xuan; Zhou, Yong; Hou, Mimi Well-posedness of mild solutions for superdiffusion equations with spatial nonlocal operators. (English) Zbl 1543.35278 Qual. Theory Dyn. Syst. 23, No. 5, Paper No. 230, 35 p. (2024). MSC: 35R11 35A01 26A33 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Po-Chun; Pan, Bo-Yu The Robin problems for the coupled system of reaction-diffusion equations. (English) Zbl 1543.35090 Bound. Value Probl. 2024, Paper No. 29, 37 p. (2024). MSC: 35K51 35K57 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Weimin; Yao, Yuan On well-posedness of Navier-Stokes variational inequalities. (English) Zbl 1545.35081 Appl. Math. Lett. 155, Article ID 109121, 7 p. (2024). MSC: 35Q30 76D03 76D05 76D10 35A01 35A02 35A23 × Cite Format Result Cite Review PDF Full Text: DOI