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[PDF] Top 20 Regularity of Global Attractors for the Kirchhoff Wave Equation

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Regularity of Global Attractors for the Kirchhoff Wave Equation

Regularity of Global Attractors for the Kirchhoff Wave Equation

... DOI: 10.4236/jamp.2019.710168 2483 Journal of Applied Mathematics and Physics The paper is arranged as follows. In Section 2, we verify some preliminaries. In Section 3, we prove the existence of the global ... See full document

11

Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term

Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term

... of global(pullback) attractors of solutions for both the autonomous case [, , , , ] and the nonautonomous case [, , ...exponential attractors was obtained in [, , ...and ... See full document

11

The Global Attractors for the Higher Order Kirchhoff Type Equation with Nonlinear Strongly Damped Term

The Global Attractors for the Higher Order Kirchhoff Type Equation with Nonlinear Strongly Damped Term

... finite-dimensional global and exponential attractors for the solution semigroup asso- ciated with that equation and their additional regularity are also ...damped wave equation, ... See full document

16

Strong global attractors for nonclassical diffusion equation with fading memory

Strong global attractors for nonclassical diffusion equation with fading memory

... strong global attractor for the hyperbolic equa- tions by using the semigroup ...of wave- type evolutionary equations with nonlinear ...and regularity of global attractors for the ... See full document

14

Long-Time Behavior of Solutions for a Class of Nonlinear Higher Order Kirchhoff Equation

Long-Time Behavior of Solutions for a Class of Nonlinear Higher Order Kirchhoff Equation

... On global existence, asymptotic stability and blowing up of solutions for some degenerate non-linear wave equations of Kirchhoff type with strong dissipation ... See full document

9

Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type

Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type

... bridge equation (without white noises), in [3–9, 18], the authors investigated the existence, uniqueness, and global attractors of the ...and global attractors for both the autonomous ... See full document

20

The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms

The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms

... We know that viscoelastic materials have memory effects. These properties are due to the mechanical response influenced by the history of the materials. As these materials have a wide application in the natural science, ... See full document

11

On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms

On global solution, energy decay and blow-up for 2-D Kirchhoff equation with exponential terms

... where g is a source term with exponential growth at infinity to be specified later, h( · ) is a monotone continuous function with polynomial growth at infinity and with no restriction on the growth rate near the origin. ... See full document

18

Global attractors for nonlinear wave equations with linear dissipative terms

Global attractors for nonlinear wave equations with linear dissipative terms

... of global attractors for semilinear wave equations, one needs to verify the uniform compactness of the semigroup by getting the boundedness in a more regular function ...the global ... See full document

13

Exponential attractors for the strongly damped wave equations with critical exponent

Exponential attractors for the strongly damped wave equations with critical exponent

... In this section, based on the asymptotic regularity obtained above, we will construct an exponential attractor by the abstract method devised in []. Here it is different from [] to prove the asymptotic smooth ... See full document

18

Global attractor for a nonlocal hyperbolic problem on ${\mathcal{R}}^{N}$

Global attractor for a nonlocal hyperbolic problem on ${\mathcal{R}}^{N}$

... the attractors of semilinear waves equa- ...of global attractor in a weak topology is discussed for a general dissipative wave ...proved global existence, decay estimates, asymptotic stability ... See full document

10

Random Attractors for the Dissipative Hamiltonian  Amplitude Equation Governing Modulated Wave  Instabilities with Additive Noise

Random Attractors for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities with Additive Noise

... a global attractor for the perturbed and unperturbed sys- tems ...tude equation governing modulated wave instabilities with random attractors has not ... See full document

10

Global Attractors for a Class of Generalized Nonlinear Kirchhoff Sine Gordon Equation

Global Attractors for a Class of Generalized Nonlinear Kirchhoff Sine Gordon Equation

... the global solution of the equation. For more research on the global solutions and global attractors of Kirchhoff and sine-Gordon equations, we refer the reader to ... See full document

9

The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher Order Nonlinear Kirchhoff Type Equation with Strong Linear Damping

The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher Order Nonlinear Kirchhoff Type Equation with Strong Linear Damping

... The Global At- tractors and Their Hausdorff and Fractal Di- mensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Linear ... See full document

18

The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*

The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays*

... It is well known that the long time behavior of many dynamical system generated by evolution equations can be described naturally in term of attractors of cor- responding semigroups. Attractor is a basic concept ... See full document

10

Global existence‎, ‎stability results and compact invariant sets‎ ‎for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$

Global existence‎, ‎stability results and compact invariant sets‎ ‎for a quasilinear nonlocal wave equation on $mathbb{R}^{N}$

... quasilinear wave equation with strong dissipation (see also [1, ...data, global existence can be obtained, even when the influence of the source terms is stronger than that of the damping ...proved ... See full document

11

Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents

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

The 2D MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion

The 2D MHD Systems with Vertical Dissipation and Vertical Dissipation Magnetic Diffusion

... new Equation (3) consists of two vectors, which is more complicated in the calculation process, therefore, we use fractionally derivative triple product estimation [4] to solve this ...Boussinesq equation ... See full document

16

Asymptotics and numerics of a family of two-dimensional generalized surface quasi-geostrophic equations

Asymptotics and numerics of a family of two-dimensional generalized surface quasi-geostrophic equations

... variational equation for describing perturbations in the generalized SQG ...asymptotic equation is derived on a stretched time variable τ = αt, which unifies equations in the family near α = ... See full document

25

Global boundedness, interior gradient estimates, and boundary
regularity for the mean curvature equation with boundary
conditions

Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions

... yields global estimates of the oscillation of u for solutions to the capillarity problem with | cos θ| bounded away from 0 and 1, and |H(x,t)| bounded in ¯ Ω ×R ... See full document

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