Weak-Strong Uniqueness for Maxwell--Stefan Systems

DOI10.1137/21M145210XzbMath1498.35008arXiv2110.05331OpenAlexW3205172033MaRDI QIDQ5081159

Xiaokai Huo, Ansgar Jüngel, Athanassios E. Tzavaras

Publication date: 13 June 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.05331

zbMATH Keywords

relative entropyweak-strong uniquenesscross diffusionMaxwell-Stefan systemsthin-film solar cell modeltumor-growth model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion ⋮ Global existence and weak-strong uniqueness for chemotaxis compressible Navier-Stokes equations modeling vascular network formation ⋮ Large-time asymptotics for degenerate cross-diffusion population models with volume filling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system
• Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics
• Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity
• The generalized Bott-Duffin inverse and its applications
• The second law of thermodynamics and stability
• A note on the uniqueness of weak solutions to a class of cross-diffusion systems
• Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell-Stefan type
• A mechanical model of tumor encapsulation and transcapsular spread
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• Nonlocal cross-diffusion systems for multi-species populations and networks
• Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
• Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations
• Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics
• On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models
• Continuum thermodynamics of chemically reacting fluid mixtures
• Entropy Methods for Diffusive Partial Differential Equations
• Existence Analysis of Maxwell--Stefan Systems for Multicomponent Mixtures
• On the Maxwell-Stefan Approach to Multicomponent Diffusion
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Cross-diffusion systems with non-zero flux and moving boundary conditions
• Weak–strong uniqueness of renormalized solutions to reaction–cross-diffusion systems
• Weak–strong uniqueness for energy-reaction-diffusion systems
• High-friction limits of Euler flows for multicomponent systems
• The boundedness-by-entropy method for cross-diffusion systems
• On the Algebra of Networks

This page was built for publication: Weak-Strong Uniqueness for Maxwell--Stefan Systems