Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity
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Publication:5019956
DOI10.1088/1361-6544/ac3922zbMath1481.35253arXiv2105.12619OpenAlexW3164360277MaRDI QIDQ5019956
Publication date: 11 January 2022
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.12619
A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (6)
Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System ⋮ Global solutions near homogeneous steady states in a fully cross-diffusive predator-prey system with density-dependent motion ⋮ Existence and qualitative analysis of a fully cross-diffusive predator-prey system with nonlinear taxis sensitivity ⋮ Does strong repulsion lead to smooth solutions in a repulsion-attraction chemotaxis system even when starting with highly irregular initial data? ⋮ Global existence and stabilization in a diffusive predator-prey model with population flux by attractive transition ⋮ Boundedness in a Forager-Exploiter Model Accounting for Gradient-Dependent Flux-Limitation
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