Results 91 to 100 of about 2,584 (111)

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

Advances 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

Smooth imploding solutions for 3D compressible fluids

Forum of Mathematics, Pi
Building upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano   +2 more
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Well-posedness for physical vacuum free boundary problem of compressible Euler equations with time-dependent damping

Advances 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

On blow-up for the supercritical defocusing nonlinear wave equation

Forum of Mathematics, Pi
In this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ .
Feng Shao, Dongyi Wei, Zhifei Zhang
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A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. [PDF]

Mon Hefte Math, 2020
Martin CI, Quirchmayr R.
europepmc   +1 more source

Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]

Calc Var Partial Differ Equ
Abels H, Garcke H, Poiatti A.
europepmc   +1 more source

Stability analysis of the incompressible porous media equation and the Stokes transport system via energy structure. [PDF]

Calc Var Partial Differ Equ
Park J.
europepmc   +1 more source

Stability of Partially Congested Travelling Wave Solutions for the Dissipative Aw-Rascle System. [PDF]

J Math Fluid Mech
Deléage É, Mehmood MA.
europepmc   +1 more source

Blow-up analysis for a periodic two-component μ-Hunter-Saxton system. [PDF]

J Inequal Appl, 2018
Guo Y, Xiong T.
europepmc   +1 more source

On the Modeling of Nonlinear Wind-Induced Ice-Drift Ocean Currents at the North Pole. [PDF]

J Math Fluid Mech
Puntini C.
europepmc   +1 more source