Global strong solutions for the multi-dimensional compressible Oldroyd-B model

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

Regular flows of weakly compressible viscoelastic fluids and the incompressible limit
Global existence for the multi-dimensional compressible viscoelastic flows
Global well-posedness for compressible viscoelastic fluids near equilibrium
Global existence of classical solutions for some Oldroyd-B model via the incompressible limit
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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
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
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
Global existence in critical spaces for non Newtonian compressible viscoelastic flows
Pointwise space-time estimates of compressible Oldroyd-B model
LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
Strong solutions of 3D compressible Oldroyd-B fluids
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Fourier Analysis and Nonlinear Partial Differential Equations
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Relative Entropy, Weak-Strong Uniqueness, and Conditional Regularity for a Compressible Oldroyd--B Model
The Cauchy problem for an Oldroyd-B model in three dimensions
On the Cauchy Problem for a Compressible Oldroyd-B Model Without Stress Diffusion
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates
Global strong solutions for the multi-dimensional compressible viscoelastic flows with general pressure law

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