Global and blow up solutions to cross diffusion systems on 3D domains

DOI10.1090/proc/13102zbMath1353.35168OpenAlexW2342000492MaRDI QIDQ2821745

Vu Thanh Nguyen, Dung Le

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13102

zbMATH Keywords

elliptic systemsHölder regularity\(A_p\) weightsBMO weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Blow-up in context of PDEs (35B44) Harmonic analysis and PDEs (42B37)

Related Items (6)

Dynamics in a parabolic-elliptic two-species population competition model with cross-diffusion for one species ⋮ Well posedness of general cross-diffusion systems ⋮ Local and global existence of strong solutions to large cross diffusion systems ⋮ Uniqueness and regularity of unbounded weak solutions to a class of cross diffusion systems ⋮ Global well-posedness of advective Lotka–Volterra competition systems with nonlinear diffusion ⋮ Global solutions to cross diffusion parabolic systems on 2D domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• Global attractors and steady state solutions for a class of reaction-diffusion systems
• Diffusion, self-diffusion and cross-diffusion
• Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model
• A parabolic system modeling microbial competition in an unmixed bio-reactor
• Cross Diffusion Systems on 2 Spatial Dimensional Domains
• Global solutions to cross diffusion parabolic systems on 2D domains
• Regularity and coexistence problems for strongly coupled elliptic systems

This page was built for publication: Global and blow up solutions to cross diffusion systems on 3D domains