Results 31 to 40 of about 181 (96)

NUMERICAL APPROXIMATION OF SPECTRUM FOR VARIABLE COEFFICIENTS EULER-BERNOULLI BEAMS UNDER A FORCE CONTROL IN POSITION AND VELOCITY

, 2017
In this paper, we use asymptotic techniques and the finite differences method to study the spectrum of differential operator arising in exponential stabilization of Euler-Bernoulli beam with nonuniform thickness or density that is clamped at one end and ...
K.A.A. Hermith, C. Adama, T. K. Augustin
semanticscholar   +1 more source

Sharp Liouville Theorems

Advanced Nonlinear Studies, 2021
Consider the equation div⁡(φ2⁢∇⁡σ)=0{\operatorname{div}(\varphi^{2}\nabla\sigma)=0} in ℝN{\mathbb{R}^{N}}, where φ>0{\varphi>0}. Berestycki, Caffarelli and Nirenberg proved in [H. Berestycki, L. Caffarelli and L. Nirenberg, Further qualitative properties
Villegas Salvador
doaj   +1 more source

Global existence and blow-up for nonautonomous systems with non-local symmetric generators and Dirichlet conditions

, 2015
We study a semilinear system of the form ∂ui(t,x) ∂ t = ki(t)Aiui(t,x)+u βi i′ (t,x), t > 0, x ∈ D, ui(0,x) = fi(x), x ∈ D, ui|Dc ≡ 0, where D ⊂ Rd is a bounded open domain, ki : [0,∞) → [0,∞) is continuous, Ai is the infinitesimal generator of a ...
Aroldo Pérez
semanticscholar   +1 more source

GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION

Forum of Mathematics, Pi, 2020
We prove that any simple planar travelling wave solution to the membrane equation in spatial dimension $d\geqslant 3$ with bounded spatial extent is globally nonlinearly stable under sufficiently small compactly supported perturbations, where the ...
LEONARDO ABBRESCIA, WILLIE WAI YEUNG WONG   +1 more
doaj   +1 more source

Property of growth determined by spectrum of operator associated with the Timoshenko system with weakly dissipation

, 2015
In this work, we consider the Timoshenko system with weakly dissipation, one dissipation, φt , on the transverse displacement and another ψt , on the rotation angle of a filament of the beam ρ1φtt −κ(φx +ψ)x +φt = 0, in (0,L)× (0,t), ρ2ψtt −bψxx +κ(φx +ψ)
C. Raposo, J. Rivera, R. R. Alves
semanticscholar   +1 more source

STABILITY ANALYSIS OF PARTIAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

, 2018
In this paper, the analytical stability of a partial differential equation with piecewise constant arguments is considered. By using the theory of separation of variables in matrix form and the Fourier method, the sufficient conditions under which the ...
Qi Wang
semanticscholar   +1 more source

Single blow-up point and critical speed for a parabolic problem with a moving nonlinear source on a semi-infinite interval

, 2015
Let v and T be positive numbers, D = (0,∞), Ω = D × (0, T ], and D̄ be the closure of D. This article studies the first initial-boundary value problem, ut − uxx = δ(x− vt)f (u(x, t)) in Ω, u(x, 0) = ψ(x) on D̄, u(0, t) = 0, u(x, t) → 0 as x → ∞ for 0 < t
C. Y. Chan, P. Sawangtong, T. Treeyaprasert   +2 more
semanticscholar   +1 more source

Existence and nonexistence of solutions for the generalized Camassa-Holm equation

Advances in Differential Equations, 2014
In this paper, we study the Cauchy problem of a generalized Camassa-Holm equation. It is shown that the equation is locally well posed when the initial data are sufficiently smooth.
Xiujuan Pan, S. Kang, Young Chel Kwun
semanticscholar   +1 more source

Front instability in a condensed phase combustion model

Advances in Nonlinear Analysis, 2015
We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis, Dkhil Fathi, Logak Elisabeth   +2 more
doaj   +1 more source

On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

Open Mathematics
In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is ...
Al-Gharabli Mohammad M.
doaj   +1 more source