Results 31 to 40 of about 3,209 (150)
Open Mathematics, 2019 We first introduce the concept of the random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system (NRDS) and give a theorem on the existence of the random uniform exponential attractor for a jointly continuous ...
Han Zongfei, Zhou Shengfan
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On some nonlinear Schrödinger equations in $\bbr^N$ [PDF]
arXiv, 2021 In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
arxiv
General decay in a Timoshenko-type system with thermoelasticity with second sound
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
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Stability of constant steady states of a chemotaxis model [PDF]
arXiv, 2021 The Cauchy problem for the parabolic--elliptic Keller--Segel system in the whole $n$-dimensional space is studied. For this model, every constant $A \in \mathbb{R}$ is a stationary solution. The main goal of this work is to show that $A < 1$ is a stable steady state while $A > 1$ is unstable.
arxiv
Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization [PDF]
arXiv, 2023 We study a doubly nonlinear parabolic problem arising in the modeling of gas transport in pipelines. Using convexity arguments and relative entropy estimates we show uniform bounds and exponential stability of discrete approximations obtained by a finite element method and implicit time stepping.
arxiv
Asymptotically periodic solutions of semilinear fractional integro-differential equations
Advances in Differential Equations, 2014 In this paper, we study the existence of an -asymptotically ω-periodic mild solution of semilinear fractional integro-differential equations in Banach space, where the nonlinear perturbation is -asymptotically ω-periodic or -asymptotically ω-periodic in ...
Zhinan Xia
semanticscholar +1 more source
, 2020 The outflow problem for the viscous two-phase flow model in a half line is investigated in the present paper. The existence and uniqueness of the stationary solution is shown for both supersonic state and sonic state at spatial far field, and the ...
Haiyang Zhao
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Existence result for a new class of Kirchhoff elliptic system with variable parameters
Miskolc Mathematical Notes, 2020 The paper studies the existence result for a new class of Kirchhoff elliptic system with variable parameters in the right hand side. Sub-super solutions method are used for proving the main result.
M. Haiour +3 more
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Open Mathematics, 2021 The incompressible 2D stochastic Navier-Stokes equations with linear damping are considered in this paper. Based on some new calculation estimates, we obtain the existence of random attractor and the upper semicontinuity of the random attractors as ε→0 ...
Li Haiyan, Wang Bo
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Properties of entire solutions of some linear PDE's
, 2017 In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and 1.
Andriy Ivanovych Bandura +2 more
semanticscholar +1 more source