Global attractor
-
The study of the asymptotic behavior of dynamical systems arising from mechanics and physics is a capital issue, as it is essential, for practical applications, to be able to understand and even predict the long-time behavior of the solutions of such systems.
9p visergey 02-04-2024 2 0 Download
-
In this paper, we consider a nonlocal P -Laplace parabolic equation depending on the LP norm of the gradient with nonlinearity of arbitrary order. First, we prove the existence and uniqueness of weak solutions by combining the compactness and monotone methods and the weak convergence techniques in Orlicz spaces.
8p viengels 25-08-2023 6 3 Download
-
In this paper, we establish second-order sufficient optimality conditions for optimal control problem of 2D g-NavierStokes equations. The long-time behavior of the strong solutions was studied very recently in the autonomous case in terms of existence of a global attractor, and existence and stability of a unique stationary solution.
7p vifriedrich 25-08-2023 5 3 Download
-
In this paper, we consider a periodic boundary value problem for a nonclassical diffusion equation lacking instantaneous damping with hereditary memory. The main characteristics of the model is that the equation does not contain a term of the form -Au, which contributes to an instantaneous damping. We use the w-limit compact- ness of the solution semigroup {S(t)}t≥0 to get the existence of a global attractor.
8p nhanchienthien 25-07-2023 6 3 Download
-
In the paper "Global attractors for semilinear parabolic equations with delays", we prove the existence and upper semicontinuity of global attractors with respect to parameters for semilinear parabolic equations with general delays. The obtained results recover and extend some known ones about a non-local PDE with the stateselective delay in [10].
18p runordie5 04-07-2022 1 1 Download
-
The aim of this paper "Global Attractor for a Semilinear Parabolic System" is to prove the existence of a global attractor of the semigroup generated by the first initial boundary value problem for a semilinear parabolic system in the potential form in an arbitrary (bounded or unbounded) domain.
18p runordie5 04-07-2022 5 1 Download
-
The aim of the paper "Global attractor for a semilinear parabolic equation involving grushin operator" is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
11p runordie3 27-06-2022 6 3 Download
-
The understanding of the asymptotic behavior of dynamical systems is one of the most important problems of modern mathematical physics. One way to attack the problem for a dissipative dynamical system is to consider its global attractor. This is an invariant set that attracts all the trajectories of the system. In the paper "Global existence and long-time behavior of solutions to a class of degenerate parabolic equations" we study the following semilinear degenerate parabolic equation with variable.
14p runordie3 27-06-2022 10 3 Download
-
The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via the existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.
112p thebadguys 08-06-2021 15 2 Download
-
The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.
25p thebadguys 08-06-2021 16 3 Download
-
In this paper, we investigate the existence, uniqueness, and continuity of weak solutions with respect to initial values for a nonlinear parabolic equation of reactiondiffusion nonlocal type by an application of the Faedo-Galerkin approximation and AubinLions- Simon compactness results.
11p trinhthamhodang1218 18-03-2021 6 1 Download
-
In this paper, we study the first initial boundary value problem for a class of quasilinear degenerate parabolic equations involving weighted p-Laplacian operators. The existence and uniqueness of a weak solution with respect to initial values is ensured by an application of the Faedo - Galerkin approximation and compact method. Moreover, the longtime behavior of solutions to that problem is considered via the concept of global attractors in various bi-spaces.
15p trinhthamhodang1218 18-03-2021 13 3 Download
-
In this paper, we study the existence and long-time behavior of weak solutions to a nonclasscial diffusion equation with exponential nonlinearity. We prove the existence of a global attractor of the dynamical system associated to the equation.
5p vienzym2711 03-04-2020 17 2 Download
-
GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS C. V. PAO Received 22 April 2004 This paper is concerned with a coupled system of nonlinear difference equations which is a discrete approximation of a class of nonlinear differential systems with time delays. The aim of the paper is to show the existence and uniqueness of a positive solution and to investigate the asymptotic behavior of the positive solution. Sufficient conditions are given to ensure that a unique positive equilibrium solution exists and is a global attractor of the difference system.
23p sting12 10-03-2012 46 4 Download
-
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Global Attractors in Lp for m-Laplacian Parabolic Equation in RN
17p sting08 18-02-2012 33 2 Download
-
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On the Well Posedness and Refined Estimates for the Global Attractor of the TYC Mod
29p sting06 13-02-2012 62 4 Download
-
Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Exponential Stability and Global Attractors for a Thermoelastic Bresse System
15p sting06 13-02-2012 48 3 Download
-
Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học đề tài : Global attractor of the extended FisherKolmogorov equation in Hk spaces
10p dauphong11 06-02-2012 33 2 Download