Forward Self-Similar Solutions to the Viscoelastic Navier--Stokes Equation with Damping
From MaRDI portal
Publication:2967913
DOI10.1137/16M1060340zbMath1358.76012arXiv1601.07478MaRDI QIDQ2967913
Baishun Lai, Changyou Wang, Junyu Lin
Publication date: 9 March 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.07478
Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)
Related Items (7)
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates ⋮ Optimal time-decay estimates for an Oldroyd-B model with zero viscosity ⋮ Pointwise space-time estimates of compressible Oldroyd-B model ⋮ Local \(L^2\) theory of the fractional Navier-Stokes equations and the self-similar solution ⋮ Properties of the linear non-local Stokes operator and its application ⋮ Forward discretely self-similar solutions of the MHD equations and the viscoelastic Navier-Stokes equations with damping ⋮ Global classical solutions to the elastodynamic equations with damping
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Forward discretely self-similar solutions of the Navier-Stokes equations. II
- On 2D viscoelasticity with small strain
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- Global solutions for incompressible viscoelastic fluids
- Leray-Schauder degree: A half century of extensions and applications
- Interior regularity for solutions to the modified Navier-Stokes equations
- On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
- Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows
- Rotation-strain decomposition for the incompressible viscoelasticity in two dimensions
- Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions
- Forward discretely self-similar solutions of the Navier-Stokes equations
- Partial Regularity of Weak Solutions of the Viscoelastic Navier--Stokes Equations with Damping
- Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
- Elliptic Partial Differential Equations of Second Order
- Solutions faibles d'énergie infinie pour les équations de Navier—Stokes dans ℝ3
- A new proof of the Caffarelli-Kohn-Nirenberg theorem
- Partial regularity of suitable weak solutions of the navier-stokes equations
- L3,∞-solutions of the Navier-Stokes equations and backward uniqueness
- Self-similar solutions for navier-stokes equations in
- On the initial‐boundary value problem of the incompressible viscoelastic fluid system
- On hydrodynamics of viscoelastic fluids
This page was built for publication: Forward Self-Similar Solutions to the Viscoelastic Navier--Stokes Equation with Damping