Results 101 to 110 of about 2,827 (129)

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

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

Advances 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

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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A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. [PDF]

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

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

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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On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model

Open Mathematics, 2013
Pražák Dalibor, Žabenský Josef
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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

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

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