The optimal time decay rates for the compressible Oldroyd-B model in ℝ 3

DOI10.1080/00036811.2023.2197452zbMATH Open1545.35103MaRDI QIDQ6607933

Minling Li, Yuhui Chen, Zheng-An Yao, Qinghe Yao

Publication date: 19 September 2024

Published in: Applicable Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Cites Work

• Title not available (Why is that?)
• Blow-up criterion for the incompressible viscoelastic flows
• Regular flows of weakly compressible viscoelastic fluids and the incompressible limit
• Global well-posedness for compressible viscoelastic fluids near equilibrium
• Strong solutions to the three-dimensional compressible viscoelastic fluids
• Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
• Global solutions for incompressible viscoelastic fluids
• Remarks on the blowup criteria for Oldroyd models
• 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
• Diffusion wave phenomena and \(L^p\) decay estimates of solutions of compressible viscoelastic system
• Global wellposedness and large time behavior of solutions to the \(N\)-dimensional compressible Oldroyd-B model
• Global well-posedness and decay rates for the three dimensional compressible Oldroyd-B model
• Dispersive effect and global well-posedness of the compressible viscoelastic fluids
• Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions
• Time decay rates for the compressible viscoelastic flows
• Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter
• Incompressible limit of Oldroyd-B fluids in the whole space
• Existence results for the flow of viscoelastic fluids with an integral constitutive law
• Strong solutions of the equations for viscoelastic fluids in some classes of large data
• About lifespan of regular solutions of equations related to viscoelastic fluids
• Global solutions to the Oldroyd-B model with a class of large initial data
• Strong solutions of 3D compressible Oldroyd-B fluids
• Global existence and optimal decay rates for three-dimensional compressible viscoelastic flows
• Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
• Existence results for the flow of viscoelastic fluids with a differential constitutive law
• The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions
• Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type
• Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd--B Model
• Optimal decay rates for solutions to the incompressible Oldroyd-B model in $\mathbb{R}^3$
• 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
• Mathematical modeling and qualitative analysis of viscoelastic conductive fluids
• Optimal Large-Time Behavior of the Two-Phase Fluid Model in the Whole Space
• Global Well-Posedness for Viscoelastic Fluid System in Bounded Domains
• On the initial‐boundary value problem of the incompressible viscoelastic fluid system
• On hydrodynamics of viscoelastic fluids

This page was built for publication: The optimal time decay rates for the compressible Oldroyd-B model in ℝ ³

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6607933)