Blow-up criterion of strong solution with vacuum for the 2D nonhomogeneous density-temperature-dependent Boussinesq equations
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Publication:2190482
DOI10.4171/ZAA/1652zbMath1442.35358MaRDI QIDQ2190482
Publication date: 18 June 2020
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items
The zero limit of thermal diffusivity for the 2D density-dependent Boussinesq equations, Global existence of classical solutions to the two-dimensional compressible Boussinesq equations in a square domain, Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum
Cites Work
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- Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity
- Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity
- Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system
- Decay estimates of global solution to 2D incompressible
- Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
- Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable
- Global strong solution to the 2D nonhomogeneous incompressible MHD system
- Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
- Regularity results for two-dimensional flows of multiphase viscous fluids
- The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
- Unique solvability for the density-dependent Navier-Stokes equations
- On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces
- Global strong solution of 3D inhomogeneous Navier-Stokes equations with density-dependent viscosity
- Global well-posedness for the incompressible Navier-Stokes equations with density-dependent viscosity coefficient
- Global wellposedness for the 3D inhomogeneous incompressible Navier-Stokes equations
- On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
- Local and global well-posedness results for flows of inhomogeneous viscous fluids
- Global Strong Solution with Vacuum to the Two Dimensional Density-dependent Navier--Stokes System
- Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density
- Fourier Analysis and Nonlinear Partial Differential Equations
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Strong Solutions of the Navier–Stokes Equations for Nonhomogeneous Incompressible Fluids
- On the improved blow-up criterion for the 2D zero diffusivity Boussinesq equations with temperature-dependent viscosity
