Decay of the compressible viscoelastic flows

DOI10.3934/cpaa.2016004zbMath1354.35117OpenAlexW2463596863MaRDI QIDQ324026

Zheng-An Yao, Ruiying Wei, Yin Li

Publication date: 10 October 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016004

zbMATH Keywords

energy methodviscoelastic flowsestimates in Sobolev spaces of negative order

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

The global existence and a decay estimate of solutions to the Phan-Thein-Tanner model, Optimal temporal decay rates for the compressible viscoelastic flows, Global strong solutions for the multi-dimensional compressible viscoelastic flows with general pressure law, The pointwise estimates of solutions for the 3D compressible viscoelastic fluids, On the well-posedness of the incompressible viscoelastic flows, Diffusion wave phenomena and \(L^p\) decay estimates of solutions of compressible viscoelastic system, Global well-posedness and decay rates for the three-dimensional compressible Phan-Thein-Tanner model, Optimal decay rates for the compressible viscoelastic flows, On \( L^1\) estimates of solutions of compressible viscoelastic system

Cites Work

• Unnamed Item
• Unnamed Item
• Decay of the Navier-Stokes-Poisson equations
• Global existence for the multi-dimensional compressible viscoelastic flows
• Global existence and optimal decay rate for the strong solutions in \(H^{2}\) to the compressible Navier-Stokes equations
• Global well-posedness for compressible viscoelastic fluids near equilibrium
• Local strong solution to the compressible viscoelastic flow with large data
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• Decay estimates for the compressible Navier-Stokes equations in unbounded domains
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
• Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
• Global solutions for some Oldroyd models of non-Newtonian flows
• Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations.
• Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows
• Optimal \(L^{p}\) - \(L^{q}\) convergence rates for the compressible Navier-Stokes equations with potential force
• Global existence for a 2D incompressible viscoelastic model with small strain
• About Lifespan of Regular Solutions of Equations Related to Viscoelastic 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
• Large time behaviour of solutions to the navier-stokes equations
• L²Decay for the Compressible Navier-Stokes Equations in Unbounded Domains
• Decay of Dissipative Equations and Negative Sobolev Spaces
• OPTIMAL CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER–STOKES EQUATIONS WITH POTENTIAL FORCES
• On hydrodynamics of viscoelastic fluids