Results 101 to 110 of about 172 (152)

High-order Krylov-Newton and fast Krylov-Secant Methods for Systems of Non-linear Partial Differential Equations

, 1996
. Keywords: secant methods, Krylov subspace methods, nonlinear equations, Newton's method, Broyden's method AMS(MOS) subject classification: 3504, 35Q35, 35M10 1. Introduction.
Hector Klie, Marcelo Rame, Mary Wheeler
core  

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
doaj   +1 more source

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

Appl Math Optim, 2021
Coti Zelati M, Glatt-Holtz N, Trivisa K.
europepmc   +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
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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

Hamiltonian Approach to Internal Wave-Current Interactions in a Two-Media Fluid with a Rigid Lid

, 2015
We examine a two-media 2-dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface with wind generated surface waves but considered bounded above by a lid by an assumption that surface ...
Compelli, Alan, Ivanov, Rossen
core  

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 Systems of Symmetry Subalgebras for Big Models of Gasdynamics

, 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  

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
doaj   +1 more source