[PDF] Top 20 Remark on global attractor for damped wave equation on \(\mathbb{R}^{3}\)
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Remark on global attractor for damped wave equation on \(\mathbb{R}^{3}\)
... used weighted spaces (or special Banach spaces) instead of the usual Hilbert ones. For ex- ample, Babin and Vishik [] for the first time investigated the corresponding problem for the equations of parabolic type in ... See full document
9
Existence of multiple equilibrium points in global attractor for damped wave equation
... the global attractor for some damped wave equation with critical ...the global attractor for some wave equations under some suitable assumptions in the case that ... See full document
9
The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*
... (1.1). The key is to deal with the nonlinear terms and the delay term is difficult to be handled, so we aimed at showing that it is dissipative and the solution is bounded and continuous with respect to initial value. ... See full document
10
Exponential attractors for the strongly damped wave equations with critical exponent
... strongly damped wave equations in ...the global at- tractor for wave equations with the critical ...of global attractor and exponential attractor for the same ... See full document
18
Regularity of the attractor for strongly damped wave equations with nonlinearity
... usual wave equation with nonlinear damping, which arises as an evolutionary mathematical model in various systems ...of global attractors; see, for example, [–] for the linear damping case, and ... See full document
14
Random Attractor of the Stochastic Strongly Damped for the Higher Order Nonlinear Kirchhoff Type Equation
... random attractor has become an important goal. In a sense, the random attractor is popularized for classic determine dynamical system of the global ...attractor. Global attractor ... See full document
11
Global attractor for the generalized hyperelastic-rod equation
... hyperelastic-rod equation (.) [–], such as traveling-wave solutions, blow-up of solutions, well-posedness of solu- tions, the existence of weak solutions, the global solutions of Cauchy problem, ... See full document
14
Regularity of Global Attractors for the Kirchhoff Wave Equation
... the equation lose their ...of global attractor for the subclass of limit solutions of ...Ball’s attractor theory on the generalized ...Kirchhoff wave equation with strong ... See full document
11
Global attractor for a nonlocal hyperbolic problem on ${\mathcal{R}}^{N}$
... of global attractor in a weak topology is discussed for a general dissipative wave ...proved global existence, decay estimates, asymptotic stability and blow up results for a degenerate ... See full document
10
Local well-posedness of generalized BBM equations with generalized damping on 1D torus
... was proposed in [] as a model for propagation of long waves which incorporates nonlinear dispersive and dissipative effects. It has extensively been studied in the recent literature; see for example [–] on the ... See full document
10
Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ... See full document
9
Global solutions to a class of nonlinear damped wave operator equations
... proved global existence of solutions for semilinear damped wave equations in R N with noncompactly supported initial data or in the energy space, in where the nonlinear term f(u) = |u| p or ... See full document
9
Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity
... evolutionary equation, we generally aim to show that the dynamics of the equation is finite dimensional for long ...evolutional equation comprise the existence of the global attractor ... See full document
22
On a nonlinear degenerate evolution equation with strong damping
... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ... See full document
10
Global Attractor for a Non Autonomous Beam Equation
... non-autonomous wave equations, there are many interesting results were published focusing different respects (see ...by global attractor, please refer the reader to [4,5] and references ... See full document
5
Existence of global attractor for one dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half line
... The remainder of the paper is organized as follows. In Section , we provide some preliminaries and necessary key technical results. Section introduces an autonomous dynamical system in order to study the asymptotic ... See full document
24
The Global Attractor of Thermoelastic Coupled System
... weakly damped nonlinear wave Equation (2) as α, ε = 0 is studied in Temam [1] and Zhu [2] and Wang [3] and the one for the strongly damped nonlinear wave equation is ... See full document
5
Global existence, stability results and compact invariant sets for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$
... achieved global solutions for the given problem. Let us remark that, in the Theorem ...proved global existence results under the conditions N = 3, 8/3 < α < 4 and the initial ... See full document
11
A global compactness result for a critical nonlinear Choquard equation in \(\mathbb{R} ^{N}\)
... introduced by Penrose in his discussion of the self-gravitational collapse of a quantum mechanical wave function [26]. The existence and qualitative properties of solutions of (1.2) have been widely studied in the ... See full document
16
On the global attractor of modified Swift Hohenberg equation in 3d case
... diffusion equation and diffusion system such as the global asymptotical behaviors of solutions and global attractors are important for the study of diffusion model, which ensure the stability of ... See full document
14
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