Results 41 to 50 of about 211 (111)

Global attractor of the extended Fisher-Kolmogorov equation in H^k spaces

Boundary Value Problems, 2011
The long-time behavior of solution to extended Fisher-Kolmogorov equation is considered in this article. Using an iteration procedure, regularity estimates for the linear semigroups and a classical existence theorem of global attractor, we prove that the
Luo Hong
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On isolated singularities of Kirchhoff equations

Advances in Nonlinear Analysis, 2020
In this note, we study isolated singular positive solutions of Kirchhoff ...
Chen Huyuan, Fall Mouhamed Moustapha, Zhang Binling   +2 more
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Constructing universal pattern formation processes governed by reaction-diffusion systems

Electronic Journal of Differential Equations, 2002
For a given connected compact subset $K$ in $mathbb{R}^n$ we construct a smooth map $F$ on $mathbb{R}^{1+n}$ in such a way that the corresponding reaction-diffusion system $u_t=DDelta u+F(u)$ of $n+1$ components $u=(u_0,u_1,dots ,u_n)$, accompanying with
Sen-Zhong Huang
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Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates

Advances in Nonlinear Analysis, 2020
This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
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S-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain

Open Mathematics, 2019
In this paper, we show the existence of an S-shaped connected component in the set of radial positive solutions of boundary value ...
Xu Man, Ma Ruyun
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Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
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Polynomial stability of the wave equation with distributed delay term on the dynamical control

Nonautonomous Dynamical Systems, 2021
Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
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A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
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Random attractors for stochastic plate equations with memory in unbounded domains

Open Mathematics, 2021
In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform time estimates for solutions of the problem.
Yao Xiao Bin
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Asymptotic behavior of solutions of a viscoelastic Shear beam model with no rotary inertia: General and optimal decay results

Open Mathematics
In this study, we consider a viscoelastic Shear beam model with no rotary inertia. Specifically, we study ρ1φtt−κ(φx+ψ)x+(g∗φxx)(t)=0,−bψxx+κ(φx+ψ)=0,\begin{array}{rcl}{\rho }_{1}{\varphi }_{tt}-\kappa {\left({\varphi }_{x}+\psi )}_{x}+\left(g\ast ...
Al-Mahdi Adel M.
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