Global classical solutions of 3D compressible viscoelastic system near equilibrium

DOI10.1007/s00526-021-02127-xOpenAlexW2890361119WikidataQ114018070 ScholiaQ114018070MaRDI QIDQ2062986

Yanyan Li

Publication date: 3 January 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04490

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Global existence in critical spaces for non Newtonian compressible viscoelastic flows ⋮ Global strong solutions for the multi-dimensional compressible viscoelastic flows with general pressure law

Cites Work

• Structural stability of a 1D compressible viscoelastic fluid model
• Global solutions to repulsive Hookean elastodynamics
• Blow-up criterion for the incompressible viscoelastic flows
• On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids
• Global existence for the multi-dimensional compressible viscoelastic flows
• Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
• Global well-posedness for compressible viscoelastic fluids near equilibrium
• Global solutions for incompressible viscoelastic fluids
• Global solutions for some Oldroyd models of non-Newtonian flows
• Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model
• Global existence of weak solutions to the FENE dumbbell model of polymeric flows
• Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid
• Time decay rates for the compressible viscoelastic flows
• Incompressible limit of Oldroyd-B fluids in the whole space
• Global existence for a 2D incompressible viscoelastic model with small strain
• Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces
• About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
• Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
• The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions
• Global Regularity for Some Oldroyd‐B Type Models
• Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
• Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
• Global Well-Posedness for Viscoelastic Fluid System in Bounded Domains
• Emergence of singular structures in Oldroyd-B fluids
• Optimal time decay rate for compressible viscoelastic equations in critical spaces
• Global existence for three‐dimensional incompressible isotropic elastodynamics
• On the initial‐boundary value problem of the incompressible viscoelastic fluid system
• Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit
• On hydrodynamics of viscoelastic fluids

This page was built for publication: Global classical solutions of 3D compressible viscoelastic system near equilibrium