Results 101 to 110 of about 163 (148)

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics

open access: yesForum of Mathematics, Sigma
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier–Stokes–Maxwell equations. More precisely, we are able to prove that, for large values of the speed of light $c\in (c_0, \infty )$ , for some threshold ...
Diogo Arsénio   +2 more
doaj   +1 more source

Remarks On Regularity Of Non-Constant Vortex Patches

open access: yes, 2007
In this note, we show that if the initial vorticity ! 0 is a C ff(\Omega 0 ) non-constant patch, i.e., ! 0 = $ 0 د\Omega 0 with $ 0 2 C ff and @\Omega 0 2 C 1+ff ; then the weak solution ! of 2D vorticity equation will remain in the form ! =
Chaocheng Huang
core  

RELAXATION OF THE KINEMATIC DYNAMO EQUATIONS

open access: yes
We compute the exact relaxation and Λ-convex hull of the kinematic dynamo equations and show that they coincide. We also find the relaxation in the stationary case and present applications to the infinite-time limit in the kinematic dynamo problem.Peer ...
Lindberg, Sauli, Hitruhin, Lauri
core   +1 more source

Formation of singularities for a linearly degenerate hyperbolic system arising in magnetohydrodynamics

open access: yesAdvances in Nonlinear Analysis
This article is concerned with the singularity formation of smooth solutions for a nonhomogeneous hyperbolic system arising in magnetohydrodynamics. The system owns four linearly degenerate characteristic fields that influence each other in the relations
Hu Yanbo, Zeng Ying
doaj   +1 more source

On 3D Euler Systems With Discontinuous Initial Data

open access: yes, 2007
. A non-local dynamical system is introduced to study three dimensional Euler systems with discontinuous initial data. Existence and regularity of solutions for the dynamical systems are studied.
Chaocheng Huang
core  

Well-posedness for physical vacuum free boundary problem of compressible Euler equations with time-dependent damping

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the well-posedness of the local smooth solutions to the physical vacuum free boundary problem of the cylindrical symmetric Euler equations with time-dependent damping −μ(1+t)λρu-\frac{\mu }{{(1+t)}^{\lambda }}\rho {\bf{u}}, μ>
Li Haitong, Mai La-Su, Wang Shiyu
doaj   +1 more source

Optimal Systems of Symmetry Subalgebras for Big Models of Gasdynamics

open access: yes, 2004
The gasdynamics equations admit 11 dimensional Lie algebra of transformations for the arbitrary state equations. For special state equations the algebra may be expanded.
Khabirov, SV
core  

On various models describing behaviour of thermoviscoelastic rate-type fluids

open access: yesAdvances in Nonlinear Analysis
Viscoelastic rate-type fluid models are essential for describing the behavior of a wide range of complex materials, with applications in fields such as engineering, biomaterials, and medicine.
Bulíček Miroslav, Woźnicki Jakub
doaj   +1 more source

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