Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
From MaRDI portal
Publication:2020131
DOI10.1016/j.jde.2021.02.025zbMath1471.35089arXiv2007.00989OpenAlexW3136098672MaRDI QIDQ2020131
Publication date: 23 April 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00989
Diffusion (76R50) Variational methods applied to PDEs (35A15) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59) Initial-boundary value problems for higher-order parabolic systems (35K52)
Related Items (2)
Multi-component Cahn-Hilliard systems with singular potentials: theoretical results ⋮ Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
Cites Work
- Unnamed Item
- Unnamed Item
- Analysis of degenerate cross-diffusion population models with volume filling
- Corrigendum to: ``Analysis of degenerate cross-diffusion population models with volume filling
- Compact families of piecewise constant functions in \(L^p (0,T;B)\)
- Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
- On the Cahn-Hilliard equation
- Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions
- Invariant regions for quasilinear reaction-diffusion systems and applications to a two population model
- An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation
- Uniqueness of strong solutions and weak-strong stability in a system of cross-diffusion equations
- On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion
- Existence and regularity to an elliptic equation with logarithmic nonlinearity
- An elliptic system with logarithmic nonlinearity
- Analysis of a parabolic cross-diffusion population model without self-diffusion
- Lane Formation by Side-Stepping
- Global Well-Posedness of a Conservative Relaxed Cross Diffusion System
- Hierarchy of consistent n-component Cahn–Hilliard systems
- Existence and properties of certain critical points of the Cahn-Hilliard energy
- A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
- Cross-diffusion systems with non-zero flux and moving boundary conditions
- Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
- On the Cahn–Hilliard Equation with Degenerate Mobility
- A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System
- Nonlinear Cross-Diffusion with Size Exclusion
- The Cahn–Hilliard Equation: Recent Advances and Applications
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- The boundedness-by-entropy method for cross-diffusion systems
- Analysis of a diffuse interface model of multispecies tumor growth
- Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix
- Weak solutions for the Cahn-Hilliard equation with degenerate mobility
This page was built for publication: Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
