Regularity of Solutions to a Class of Degenerate Cross Diffusion Systems of m Equations

2023/10/15 by Dung Le, Le, Dung
Computer Science · Mathematics · #35B65 #35J70 #42B37 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2310.09771

openalex publication_date 2023/10/15 · openalex created_date 2023/10/18 · openalex updated_date 2026/07/28

Abstract

We study the regularity of weak solutions and the global existence of classical to cross-diffusion systems of m equations on N-dimensional domains (m,N≥2).

Related

• A priori Bound of Solutions to a Class of Elliptic/Parabolic Cross Diffusion Systems of m Equations on Two/Three Dimensional Domains. Existence on thin domains
• Existence and Uniqueness of Weak Solutions to a Class of Degenerate Cross Diffusion Systems
• Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains
• Uniqueness and Regularity of Unbounded Weak Solutions to a Class of Cross Diffusion Systems
• Perturbative global solutions of a large class of cross diffusion systems in any dimension