Existence of global weak solutions to a Cahn-Hilliard cross-diffusion system in lymphangiogenesis
DOI10.3934/DCDS.2024093zbMATH Open1547.35176MaRDI QIDQ6598512
Publication date: 5 September 2024
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
entropyweak solutionsCahn-Hilliard equationsingular potentialdegenerate mobilitycross-diffusion equations
Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Cell biology (92C37) Weak solutions to PDEs (35D30) Singular parabolic equations (35K67)
Cites Work
- Title not available (Why is that?)
- Kinetic theories for biofilms
- A mathematical model for lymphangiogenesis in normal and diabetic wounds
- On the Cahn-Hilliard equation
- On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation
- Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
- A simple kinetic model for the phase transition of the van der Waals fluid
- Existence of weak solutions to a cross-diffusion Cahn-Hilliard type system
- Cahn-Hilliard-Brinkman systems for tumour growth
- On a Cahn-Hilliard-Keller-Segel model with generalized logistic source describing tumor growth
- Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
- A note on Aubin-Lions-Dubinskiĭ lemmas
- Network development in biological gels: role in lymphatic vessel development
- A coupled surface-Cahn-Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes
- From gas dynamics with large friction to gradient flows describing diffusion theories
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
- ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
- On the Cahn–Hilliard Equation with Degenerate Mobility
- 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
- Degenerate Cahn-Hilliard equation: from nonlocal to local
- Viscoelastic Cahn–Hilliard models for tumor growth
- Stationary solutions and large time asymptotics to a cross-diffusion-Cahn-Hilliard system
- From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation
- Existence and weak-strong uniqueness for Maxwell-Stefan-Cahn-Hilliard systems
- Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis
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