Results 21 to 30 of about 163 (148)
Advances in Nonlinear Analysis, 2022 We investigate optimal decay rates for higher–order spatial derivatives of strong solutions to the 3D Cauchy problem of the compressible viscous quantum magnetohydrodynamic model in the H5 × H4 × H4 framework, and the main novelty of this work is three ...
Wang Juan, Zhang Yinghui
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Small solitons and multisolitons in the generalized Davey-Stewartson system
Advances in Nonlinear Analysis, 2022 By introducing and solving a new cross-constrained variational problem, a one-to-one correspondence from the prescribed mass to frequency of soliton is established for the generalized Davey-Stewartson system in two-dimensional space. Orbital stability of
Bai Mengxue, Zhang Jian, Zhu Shihui
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Advances in Nonlinear Analysis, 2022 We study a model for a fluid showing viscoelastic and viscoplastic behavior, which describes the flow in terms of the fluid velocity and a symmetric deviatoric stress tensor.
Eiter Thomas +2 more
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Two-phase flow in rotating Hele-Shaw cells with Coriolis effects [PDF]
, 2013 The free boundary problem of a two phase flow in a rotating Hele-Shaw cell with Coriolis effects is studied. Existence and uniqueness of solutions near spheres is established, and the asymptotic stability and instability of the trivial solution is ...
Escher, Joachim +2 more
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A fixed point approach to the semi-linear Stokes problem
, 2023 The aim of this paper is to study the Dirichlet problem for semi-linear Stokes equations. The approach of this study is based on the operator method, using abstract results of nonlinear functional analysis.
BRUMAR , David
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Journal of Function Spaces, Volume 9, Issue 1, Page 17-40, 2011., 2011 We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε → 0 of the solutions uε of the nonlinear equation divaε(x, ∇uε) = divbε, where both aε and bε oscillate rapidly on several microscopic scales and aε satisfies certain continuity, monotonicity and
Andreas Almqvist +4 more
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Stochastic phase field $\alpha$-Navier-Stokes vesicle-fluid interaction model.
, 2021 International audienceWe consider a stochastic perturbation of the phase field alpha-Navier-Stokes model with vesicle-fluid interaction. It consists in a system of nonlinear evolution partial differential equations modeling the fluid-structure ...
Goudenège, Ludovic, Manca, Luigi
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Travelling wave solutions to some PDEs of mathematical physics
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 21, Page 1105-1120, 2004., 2004 Nonlinear operations such as multiplication of distributions are not allowed in the classical theory of distributions. As a result, some ambiguities arise when we want to solve nonlinear partial differential equations such as differential equations of elasticity and multifluid flows, or some new cosmological models such as signature changing space ...
Kourosh Nozari, Ghasem Alizadeh Afrouzi
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Symmetry group analysis and invariant solutions of hydrodynamic‐type systems
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 10, Page 487-534, 2004., 2004 We study point and higher symmetries of systems of the hydrodynamic type with and without an explicit dependence on t, x. We consider such systems which satisfy the existence conditions for an infinite‐dimensional group of hydrodynamic symmetries which implies linearizing transformations for these systems.
M. B. Sheftel
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Asymptotics for critical nonconvective type equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 8, Page 377-405, 2004., 2004 We study large‐time asymptotic behavior of solutions to the Cauchy problem for a model of nonlinear dissipative evolution equation. The linear part is a pseudodifferential operator and the nonlinearity is a cubic pseudodifferential operator defined by means of the inverse Fourier transformation and represented by bilinear and trilinear forms with ...
Nakao Hayashi +2 more
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