Results 1 to 10 of about 118 (113)
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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LONG TIME BEHAVIOR OF THE SOLUTIONS OF NLW ON THE $d$-DIMENSIONAL TORUS
Forum of Mathematics, Sigma, 2020 We consider the nonlinear wave equation (NLW) on the $d$-dimensional torus $\mathbb{T}^{d}$ with a smooth nonlinearity of order at least 2 at the origin. We prove that, for almost any mass, small and smooth solutions of high Sobolev indices are stable up
JOACKIM BERNIER +2 more
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Exponential decay of the viscoelastic wave equation of Kirchhoff type with a nonlocal dissipation
, 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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Uniform stabilization for a strongly coupled semilinear/linear system
Advanced Nonlinear Studies, 2022 In this manuscript, we analyze the exponential stability of a strongly coupled semilinear system of Klein-Gordon type, posed in an inhomogeneous medium Ω\Omega , subject to local dampings of different natures distributed around a neighborhood of the ...
Cavalcanti Marcelo M. +4 more
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Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian
Advanced Nonlinear StudiesIn the present paper, we study the well-posedness of the solution to the initial boundary value problem for the damped Kirchhoff-type wave equation with fractional Laplacian.
Chen Shaohua +4 more
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Finite Time Blow up of the Solutions to Nonlinear Klein-Gordon Equation with Arbitrary High Positive Initial Energy [PDF]
, 2015 [Kutev N.; Кутев Н.]; [Kolkovska N.; Колковска Н.]; [Dimova M.; Димова М.]2010 Mathematics Subject Classification: 35L05 ...
Dimova, M., Kutev, N., Kolkovska, N.
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Stabilization of a population dynamic model with delay term by a boundary dynamical control
, 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
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Generalized homogeneous Besov spaces and their applications [PDF]
, 2012 2010 Mathematics Subject Classification: Primary 35L05. Secondary 46E35, 35J25, 22E30.In this paper we define the homogeneous Besov spaces associated with the Dunkl operators on R^d, and we give a complete analysis on these spaces and same ...
Mejjaoli, Hatem
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Advances in Nonlinear Analysis, 2017 We consider the long-time behavior of a nonlinear PDE with a memory term which can be recast in the abstract ...
Cavalcanti Marcelo M. +3 more
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Explicit Formulas to the Solutions of Several Equations of Mathematical Physics [PDF]
, 2014 [Popivanov Petar; Попиванов Петър]Explicit formulas to the solutions of several equations of mathematical physics including semilinear multidimensional Klein-Gordon equation, the wave equation, Kadomtsev-Petviashvili equation and cubic first order ...
Popivanov, Petar
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