Global wellposedness and large time behavior of solutions to the \(N\)-dimensional compressible Oldroyd-B model

DOI10.1016/j.jde.2021.04.027zbMath1472.35057arXiv1912.00372OpenAlexW2991623331MaRDI QIDQ2034004

Yongsheng Li, Xiaoping Zhai

Publication date: 18 June 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.00372

zbMATH Keywords

local existenceglobal existenceoptimal decaycompressible Oldroyd-B model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Harmonic analysis and PDEs (42B37) Fokker-Planck equations (35Q84)

Related Items (7)

The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates ⋮ Global solutions and large time behavior for the chemotaxis-shallow water system ⋮ Global existence and time-decay rates of classical solutions to the generalized incompressible Oldroyd-B model in \(\mathbb{R}^3\) ⋮ Optimal temporal decay rates for the compressible viscoelastic flows ⋮ Optimal well-posedness for the pressureless Euler–Navier–Stokes system ⋮ Pointwise space-time estimates of compressible Oldroyd-B model ⋮ On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion

Cites Work

• Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case
• The incompressible limit in \(L^p\) type critical spaces
• A Lagrangian approach for the compressible Navier-Stokes equations
• Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
• Regular flows of weakly compressible viscoelastic fluids and the incompressible limit
• Global existence for the multi-dimensional compressible viscoelastic flows
• Existence of global strong solutions in critical spaces for barotropic viscous fluids
• Global well-posedness for compressible viscoelastic fluids near equilibrium
• Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
• Global existence in critical spaces for compressible Navier-Stokes equations
• Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model
• Global existence and optimal decay estimates of the compressible viscoelastic flows in \( L^p \) critical spaces
• Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity
• Long-time behavior for three dimensional compressible viscousand heat-conductive gases
• Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions
• Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter
• Global large solutions and incompressible limit for the compressible Navier-Stokes equations
• About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
• Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows
• EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS
• Some Analytical Issues for Elastic Complex Fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS
• EXISTENCE AND APPROXIMATION OF A (REGULARIZED) OLDROYD-B MODEL
• Existence results for the flow of viscoelastic fluids with a differential constitutive law
• Local Existence of Solutions of the Dirichlet Initial-Boundary Value Problem for Incompressible Hypoelastic Materials
• Global Regularity for Some Oldroyd‐B Type Models
• Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
• Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
• Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd--B Model
• Decay of Dissipative Equations and Negative Sobolev Spaces
• Global Existence of Large Data Weak Solutions for a Simplified Compressible Oldroyd--B Model Without Stress Diffusion
• The Cauchy problem for an Oldroyd-B model in three dimensions

This page was built for publication: Global wellposedness and large time behavior of solutions to the \(N\)-dimensional compressible Oldroyd-B model