Global existence and optimal decay estimates of the compressible viscoelastic flows in \( L^p \) critical spaces
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Publication:1737071
DOI10.3934/dcds.2019085zbMath1412.35264OpenAlexW2908896667MaRDI QIDQ1737071
Publication date: 26 March 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019085
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) First-order nonlinear hyperbolic equations (35L60) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (7)
Global existence in critical spaces for non Newtonian compressible viscoelastic flows ⋮ 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 ⋮ 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 ⋮ On \( L^1\) estimates of solutions of compressible viscoelastic system
Cites Work
- A Lagrangian approach for the compressible Navier-Stokes equations
- The optimal decay estimates on the framework of Besov spaces for generally dissipative systems
- Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical \(L^{p}\) framework
- Global existence for the multi-dimensional compressible viscoelastic flows
- Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces
- Existence of global strong solutions in critical spaces for barotropic viscous fluids
- A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
- Global well-posedness for compressible viscoelastic fluids near equilibrium
- Well-posedness in critical spaces for incompressible viscoelastic fluid system
- Global solutions for incompressible viscoelastic fluids
- Local strong solution to the compressible viscoelastic flow with large data
- Global solutions for some Oldroyd models of non-Newtonian flows
- Global existence in critical spaces for compressible Navier-Stokes equations
- Well-posedness for the dumbbell model of polymeric fluids
- Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows
- An introduction to continuum mechanics
- The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\)
- Navier-Stokes equation with variable density and viscosity in critical space
- Global existence for a 2D incompressible viscoelastic model with small strain
- On the uniqueness in critical spaces for compressible Navier-Stokes equations
- About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
- LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
- Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows
- Fourier Analysis and Nonlinear Partial Differential Equations
- 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 well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
- Density-dependent incompressible viscous fluids in critical spaces
- 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
- Uniqueness of Weak Solutions of the Navier--Stokes Equations of Multidimensional, Compressible Flow
- On hydrodynamics of viscoelastic fluids
- An Eulerian description of fluids containing viscoelastic particles
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