Work

Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion

Year: 2024

Type: article

Abstract: Global existence of very weak solutions to a non-local diffusion-advection-reaction equation is established under no-flux boundary conditions in higher dimensions. The equation features degenerate myopic diffusion and nonlocal adhesion and is an extension of a mass-conserving model recently derived in [21] . The admissible degeneracy of the diffusion tensor is characterised in terms of the upper box fractal dimension.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.128971

Authors: Maria Eckardt, Anna Zhigun

Institutions: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau, Queen's University Belfast

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

Funder: Engineering and Physical Sciences Research Council