Results 11 to 20 of about 602 (72)
Laguerre and Hermite Collocation Methods for Unbounded Domains
East Asian Journal on Applied Mathematics, 2018 We discuss spectral collocation methods based on Jacobi-Gauss-Lobatto points and Laguerre and Hermite collocation for unbounded domains. These methods are well conditioned, and some numerical experiments demonstrate quite high accuracy.
Chao Zhang
semanticscholar +1 more source
On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms
Boundary Value Problems, 2014 This paper is concerned with the study of damped wave equation of Kirchhoff type utt−M(∥∇u(t)∥22)△u+ut=g(u) in Ω×(0,∞), with initial and Dirichlet boundary condition, where Ω is a bounded domain of R2 having a smooth boundary ∂ Ω.
Gongwei Liu
semanticscholar +2 more sources
General decay for a system of nonlinear viscoelastic wave equations with weak damping
Boundary Value Problems, 2012 In this paper, we are concerned with a system of nonlinear viscoelastic wave equations with initial and Dirichlet boundary conditions in Rn (n=1,2,3). Under suitable assumptions, we establish a general decay result by multiplier techniques, which extends
B. Feng, Yuming Qin, Ming Zhang
semanticscholar +2 more sources
Global existence of a coupled Euler-Bernoulli plate system with variable coefficients
Boundary Value Problems, 2014 In this paper, we study the initial boundary value problem of a coupled Euler-Bernoulli plate system with spatially varying coefficients of viscosity, damping and source term in a bounded domain.
Jianghao Hao, Yajing Zhang
semanticscholar +2 more sources
Instability and stability properties of traveling waves for the double dispersion equation [PDF]
, 2002 In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation $~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} = - (|u|^{p-1}u)_{xx}~$ for $~p>1$, $~a\geq b>0$.
H.A. Erbay +21 more
core +3 more sources
Abstract and Applied Analysis, Volume 2004, Issue 11, Page 935-955, 2004., 2004 We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set in H1(ℝn).
Abbès Benaissa, Soufiane Mokeddem
wiley +1 more source
Weak solutions for the singular potential wave system
Boundary Value Problems, 2014 We investigate the existence of weak solutions for a class of the system of wave equations with singular potential nonlinearity. We obtain a theorem which shows the existence of nontrivial weak solution for a class of the wave system with singular ...
Tacksun Jung, Q. Choi
semanticscholar +2 more sources
Blowup of solutions with positive energy in nonlinear thermoelasticity with second sound
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 201-211, 2004., 2004 This work is concerned with a semilinear thermoelastic system, where the heat flux is given by Cattaneo′s law instead of the usual Fourier′s law. We will improve our earlier result by showing that the blowup can be obtained for solutions with “relatively” positive initial energy.
Salim A. Messaoudi, Belkacem Said-Houari
wiley +1 more source
Decay rates for solutions of a Timoshenko system with a memory condition at the boundary
Abstract and Applied Analysis, Volume 7, Issue 10, Page 531-546, 2002., 2002 We consider a Timoshenko system with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay with the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decays exponentially and polynomially when the ...
Mauro de Lima Santos
wiley +1 more source
Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations
Advances in Nonlinear Analysis, 2019 Homogenisation of global 𝓐ε and exponential 𝓜ε attractors for the damped semi-linear anisotropic wave equation ∂t2uε+y∂tuε−divaxε∇uε+f(uε)=g,$\begin{array}{} \displaystyle \partial_t ^2u^\varepsilon + y \partial_t u^\varepsilon-\operatorname{div} \left(a\
Cooper Shane, Savostianov Anton
doaj +1 more source