Results 41 to 50 of about 3,209 (150)
, 2020 We consider star-shaped tubular domains consisting of a number of non intersecting semi-infinite strips of small thickness that are connected by a central region of diameter proportional to the thickness of the strips.
P. Lions, P. Souganidis
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On a fractional Schrödinger-Poisson system with strong singularity
Open Mathematics, 2021 We investigate a fractional Schrödinger-Poisson system with strong singularity as follows: (−Δ)su+V(x)u+λϕu=f(x)u−γ,x∈R3,(−Δ)tϕ=u2,x∈R3,u>0,x∈R3,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+V\left(x)u+\lambda \phi u=f\left(x){u}^{-\gamma },& x\in ...
Yu Shengbin, Chen Jianqing
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Asymptotic behaviour of the energy in partially viscoelastic materials
, 2001 In this paper we study models of materials consisting of an elastic part (without memory) and a viscoelastic part, where the dissipation given by the memory is effective.
Jaime E. Mu nmacr +2 more
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Global Solution and Asymptotic Behaviour for a Wave Equation type p-Laplacian with Memory
Open Journal of Mathematical Analysis, 2018 In this work we study the global solution, uniqueness and asymptotic behaviour of the nonlinear equation utt − ∆pu = ∆u− g ∗ ∆u where ∆pu is the nonlinear p-Laplacian operator, p ≥ 2 and g ∗ ∆u is a memory damping.
C. Raposo, A. Cattai, J. Ribeiro
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Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions
Boundary Value Problems, 2011 This paper is concerned with investigating the spatial behavior of solutions for a class of hyperbolic equations in semi-infinite cylindrical domains, where nonlinear dissipative boundary conditions imposed on the lateral surface of the cylinder.
Tahamtani Faramarz, Peyravi Amir
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Existence of global solutions to a quasilinear wave equation with general nonlinear damping
Electronic Journal of Differential Equations, 2002 In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
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, 2020 In this paper, an equivalence relation between the ω-limit set of initial values and the ω-limit set of solutions is established for the Cauchy problem of evolution p-Laplacian equation in the unbounded space Yσ(R). To overcome the difficulties caused by
Liangwei Wang
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Global attractor of the extended Fisher-Kolmogorov equation in
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 +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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