[PDF] Top 20 Regularity of large solutions for the compressible magnetohydrodynamic equations
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Regularity of large solutions for the compressible magnetohydrodynamic equations
... Magnetohydrodynamics (MHD) is concerned with the flow of electrically conducting fluids in the presence of magnetic fields, either externally applied or generated within the fluid by inductive action. The application of ... See full document
17
Inhomogeneous boundary value problems for steady compressible magnetohydrodynamic equations
... the compressible condition results in the loss of regularity in the mass equation (the term v ·∇ ρ), it seems hard to obtain the strong solu- tions to both the linear and the nonlinear system directly by ... See full document
16
An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces
... a large literature on the well-posedness of the MHD equations ...Navier-Stokes equations, however, the questions of the global regularity or the finite time singularity for weak ... See full document
10
Regularity for compressible isentropic Navier Stokes equations with cylinder symmetry
... the exponential stability in H . Jiang and Zhang [] established a boundary layer effect and the convergence rate as the shear viscosity μ goes to zero. When the viscosity coeffi- cient μ(ρ) is density-dependent and λ(ρ) ... See full document
16
Existence of the weak solutions for the compressible magnetohydrodynamic flows driven by stochastic forcing
... weak solutions for three dimensional stochastic compressible magnetohydrodynamic ...weak solutions for the stochastic incompressible magnetohydrodynamic flows, ... See full document
12
Regularity to the spherically symmetric compressible Navier–Stokes equations with density-dependent viscosity
... the regularity and the asymptotic behavior of a solution to system ...a compressible fluid with cylindrical symmetry, the global existence and the large-time behavior of generalized solutions ... See full document
13
The existence of stationary star solutions for compressible magnetohydrodynamic flows
... symmetric solutions of the compress- ible Navier-Stokes-Poisson equations with free boundary ...Lane-Emden solutions for spherically symmetric mo- tions of viscous gaseous stars if the adiabatic ... See full document
13
Local existence of strong solutions to the k-ε model equations for turbulent flows
... renormalized solutions, which were intro- duced by DiPerna and Lions ...weak solutions provided γ > . The existence of strong solutions is another problem provoking our interest in the research ... See full document
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Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum
... to compressible magnetohydrodynamic equations ...on compressible MHD (see [–] and the references ...strong solutions to the compressible MHD with large initial data ... See full document
16
Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries
... such solutions exhibit interesting new information such as the formation of a vacuum at the center of the symmetry as time tends to infinity and explicit regularities, and we have large time decay estimates ... See full document
15
Global existence of weak solution for the compressible Navier–Stokes–Poisson system with density-dependent viscosity
... weak solutions to the compressible Navier–Stokes–Poisson equations with the non-flat doping profile when the viscosity coefficients are density-dependent, the data are large and spherically ... See full document
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Global well-posedness of compressible magnetohydrodynamics with density-dependent viscosity and resistivity
... classical solutions to the initial- boundary value problem ...the regularity of the solutions, we begin with the one-dimensional ...smooth solutions were proved firstly in [], while the ... See full document
18
Global Existence and Uniqueness of Strong Solutions for the Magnetohydrodynamic Equations
... Magnetohydrodynamics MHD concerns the motion of a conducting fluid in an electromag- netic field with a very wide range of applications. The dynamic motion of the fluids and the magnetic field strongly interact each ... See full document
14
Renormalized weak solutions to the three-dimensional steady compressible magnetohydrodynamic equations
... weak solutions to the three-dimensional steady compressible Navier-Stokes equations for any γ > ...steady compressible full Navier-Stokes equations, refer to [–] and references ... See full document
20
Global existence and convergence rates for the smooth solutions to the compressible magnetohydrodynamic equations in the half space
... a large velocity, under a high temperature ...be large, which implies that it may never reach the requirements of (MHD) power gen- ...the solutions with the large initial data is still ... See full document
20
The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation
... Certainly, as we already know that a degenerate parabolic equation generally only has a weak solution, the above linearization is only formal. We only give some ideas of how to give the partial boundary value condition ... See full document
24
Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
... for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be ...elliptic equations in domains satisfying an exterior cone condition, ... See full document
24
Partial regularity for a surface growth model
... dorff measure appropriate for scaling of the equations (see (5.5) for details). The point of considering the intersection S ∩ K is to separate S from the set {(x, 0) : x ∈ T }. This is a technical matter related ... See full document
29
The 2D MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion
... global regularity of the classical solution of the 2D incompressible magnetohydrodynamic equation with vertical dissipation and vertical magnetic ... See full document
16
A Regularity Criterion for the Nematic Liquid Crystal Flows
... Remark 1.2. Equation 1.5 can be regarded as a logarithmically improved regularity criterion of the form ∇u ∈ L r 0, T ; L p R 3 with 2/r 3/p 2. Condition 1.5 only involves the velocity field u, which plays a ... See full document
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