Global existence and stability of solution for a p−Kirchhoff type hyperbolic equation with damping and source terms [PDF]
, 2022 In this paper, we consider a nonlinear p−Kirchhoff type hyperbolic equation with damping and source terms f utt − M Ω |∇u|p dx ∆pu + |ut| m−2 ut = |u| r−2 u.
MAOUNI, Messaoud +2 more
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Finite time blow-up for quasilinear wave equations with nonlinear dissipation [PDF]
, 2022 In this paper we consider a class of quasilinear wave equations utt − ∆αu − ω1∆ut − ω2∆βut + µ|ut|m−2ut = |u|p−2u, associated with initial and Dirichlet boundary conditions.
KERKER , Mohamed Amine
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On the viscoelastic equation with Balakrishnan - Taylor damping and nonlinear boundary/interior sources with variable-exponent nonlinearities [PDF]
, 2020 This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping and nonlinear boundary interior sources with variable exponents.
RAHMOUNE, Abita +1 more
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Exponential decay of the viscoelastic wave equation of Kirchhoff type with a nonlocal dissipation [PDF]
, 2020 The following viscoelastic wave equation of Kirchhoff type with non- linear and nonlocal damping utt − ψ (I I2\ 2 ∆u − α∆ut t + g(t − τ )∆u(τ )dτ + M 0 (I∇uI2\ u = f (u), where M (r) is a C1([0, ∞)) -function satisfying M (r) ≥ m1 > 0 for r ≥ 0, is ...
MELLAH, Mohamed, HAKEM, Ali
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Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley +1 more source
Stabilization of a population dynamic model with delay term by a boundary dynamical control [PDF]
, 2023 We consider a population dynamic system with delay term and nonlocal boundary condition. The semigroup theory combined with the Banach fixed point theorem lead to the well posedness of the problem.
TRAORE, Amidou, TRAORE, Oumar
core
Finite Time Blow up of the Solutions to Nonlinear Klein-Gordon Equation with Arbitrary High Positive Initial Energy [PDF]
, 2015 2010 Mathematics Subject Classification: 35L05 ...
Dimova, M., Kutev, N., Kolkovska, N.
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Results in Physics, 2021 In the current article, we will apply the scaling invariance technique to find conservation laws (CLs) for the nonlinear Chiral Schrödinger equation (NLCSE) with variable coefficients and the (2+1)-dimensional Maccari system.
Azhar Bashir +5 more
doaj +1 more source
On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley +1 more source
Open Mathematics, 2019 In this paper we study the asymptotic behavior for a class of stochastic retarded strongly damped wave equation with additive noise on a bounded smooth domain in ℝd. We get the existence of the random attractor for the random dynamical systems associated
Jia Xiaoyao, Ding Xiaoquan
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