Relative energy and weak–strong uniqueness of a two‐phase viscoelastic phase separation model

DOI10.1002/zamm.202100240arXiv2104.00589OpenAlexW3144392574WikidataQ114234264 ScholiaQ114234264MaRDI QIDQ6121538

Mária Lukáčová-Medvid'ová, A. Brunk

Publication date: 26 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.00589

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) General topics in partial differential equations (35Axx) Generalized solutions to partial differential equations (35Dxx)

Related Items

Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• On weak solutions to a diffuse interface model of a binary mixture of compressible fluids
• Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics
• Convergence and error estimates for a finite difference scheme for the multi-dimensional compressible Navier-Stokes system
• The second law of thermodynamics and stability
• Infinite-dimensional dynamical systems in mechanics and physics.
• Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law
• Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions
• Maximally dissipative solutions for incompressible fluid dynamics
• Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model
• Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model
• Analysis of a thermodynamically consistent Navier-Stokes-Cahn-Hilliard model
• Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
• Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
• Global existence and uniqueness result for the diffusive Peterlin viscoelastic model
• EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS
• Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd--B Model
• Asymptotic Preserving Error Estimates for Numerical Solutions of Compressible Navier--Stokes Equations in the Low Mach Number Regime
• Weak-Strong Uniqueness in Fluid Dynamics
• Stability of Strong Solutions to the Navier--Stokes--Fourier System
• Global existence of weak solutions to viscoelastic phase separation part: I. Regular case
• Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case
• Weak-strong uniqueness for Navier-Stokes/Allen-Cahn system
• Soft Interfaces