Results 71 to 80 of about 103 (91)

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

Time decay estimates of solutions to a two-phase flow model in the whole space

open access: yesAdvances in Nonlinear Analysis
In this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation.
Wu Yakui, Wu Qiong, Zhang Yue
doaj   +1 more source

Optimal large time behavior of the 3D rate type viscoelastic fluids

open access: yesAdvances in Nonlinear Analysis
We investigate optimal decay estimates of solutions to the 3D Cauchy problem of the rate type viscoelastic fluids. The main novelty of this article involves three aspects: first, we show that the second-order and third-order spatial derivative of the ...
Chen Yangyang, Zhang Yinghui
doaj   +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

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

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