Global well-posedness of mild solution to the 3D Boussinesq system with damping
From MaRDI portal
Publication:2038199
DOI10.1016/j.jmaa.2021.125305zbMath1473.35461OpenAlexW3161439418MaRDI QIDQ2038199
Publication date: 9 July 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125305
PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations
- Global solution to the incompressible Oldroyd-B model in the critical \(L^{p}\) framework: the case of the non-small coupling parameter
- Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
- On the global well-posedness for Boussinesq system
- Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
- Remarks on the blowup criteria for Oldroyd models
- Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
- Note on global regularity for two-dimensional Oldroyd-B fluids with diffusive stress
- Global well-posedness of the viscous Boussinesq equations
- Large time behaviour of solutions to the 3D-NSE in \(\mathcal{X}^\sigma\) spaces
- Remarks on global well-posedness of mild solutions to the three-dimensional Boussinesq equations
- On the Navier-Stokes initial value problem. I
- Global well-posedness and long time decay of the 3D Boussinesq equations
- A Beale-Kato-Madja breakdown criterion for an Oldroyd-B fluid in the creeping flow regime
- Global regularity for the 2D Boussinesq equations with partial viscosity terms
- About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
- Global Solutions to the Oldroyd-B Model with a Class of Large Initial Data
- Large time decay and growth for solutions of a viscous Boussinesq system
- Existence results for the flow of viscoelastic fluids with a differential constitutive law
- On the Boussinesq Flow with Nondecaying Initial Data
- Global Regularity for Some Oldroyd‐B Type Models
- On the suitable weak solutions for the Cauchy problem of the Boussinesq equations
- Global mild solutions of Navier‐Stokes equations
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
- Well-posedness for the Navier-Stokes equations