Results 71 to 80 of about 130 (114)

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

Advances 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
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Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]

Appl Math Optim, 2021
Coti Zelati M, Glatt-Holtz N, Trivisa K.
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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
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A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. [PDF]

Mon Hefte Math, 2020
Martin CI, Quirchmayr R.
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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
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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
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Stability and exponential decay for two-dimensional Boussinesq equations with partial viscosity and thermal diffusion

Advances in Nonlinear Analysis
In this work, we study the two-dimensional anisotropic Boussinesq equations, incorporating only horizontal dissipation in the tangential velocity and horizontal thermal diffusion. When the spatial domain is T×R $\mathbb{T}{\times}\mathbb{R}$ , this paper
Yu Tianyuan
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On various models describing behaviour of thermoviscoelastic rate-type fluids

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

Calc Var Partial Differ Equ
Park J.
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