Global well-posedness and large time behavior for the inviscid Oldroyd-B model

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
Global solutions for some Oldroyd models of non-Newtonian flows
Global existence in critical spaces for compressible Navier-Stokes equations
Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress
Flows of non-Lipschitzian vector fields and Navier-Stokes equations
High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation
Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion
Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism
Global wellposedness to the generalized Oldroyd type models in \(\mathbb{R}^3\)
New entropy estimates for the Oldroyd-B model and related models
Global regularity for the generalized incompressible Oldroyd-B model with only stress tensor dissipation in critical Besov spaces
About lifespan of regular solutions of equations related to viscoelastic fluids
Fourier Analysis and Nonlinear Partial Differential Equations
Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids
Global Regularity for Some Oldroyd‐B Type Models
Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
Remarks on axisymmetric solutions of the incompressible euler system
Global solutions to the n-dimensional incompressible Oldroyd-B model without damping mechanism

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