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1

Digitale Medien

Attractors for the Davey–Stewartson systems on R2 (1997)

Wang, Bixiang

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 38 (1997), S. 2524-2534

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: In the present paper, we study the long time behavior of solutions for the Davey–Stewartson systems on R2. We first derive the uniform a priori estimates for the solutions of these systems in H1(R2). Then we show the existence of the compact global attractor for the strong topology of H1(R2). © 1997 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.531992

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2

Digitale Medien

Attractors for the Klein–Gordon–Schrödinger equation (1999)

Wang, Bixiang

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 40 (1999), S. 2445-2457

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: In this paper we deal with the asymptotic behavior of solutions for the Klein–Gordon–Schrödinger equation. We prove the existence of compact global attractors for this model in the space Hl×Hl×Hl−1 for each integer l≥1. © 1999 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.532875

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3

Digitale Medien

Exponential Attractors for the Generalized Ginzburg-Landau Equation (2000)

Guo, Boling ; Wang, Bixiang

Springer

Acta mathematica sinica 16 (2000), S. 515-526

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ISSN: 1000-9574

Schlagwort(e): Key words Global attractor, Exponential attractor, Semigroup, Ginzburg-Landau equation ; 1991MR Subject Classification 35B40, 35P10

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract In this paper, we establish the global fast dynamics for the derivative Ginzburg-Landau equation in two spatial dimensions. We show the squeezing property and the existence of finite dimensional exponential attractors for this equation

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/PL00011558

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4

Digitale Medien

Attractors and Approximate Inertial Manifolds for the Generalized Benjamin-Bona-Mahony Equation (1997)

Wang, Bixiang

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 20 (1997), S. 189-203

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ISSN: 0170-4214

Schlagwort(e): Engineering ; Numerical Methods and Modeling

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: In the present paper, we deal with the long time behaviour of solutions for the generalized Benjamin-Bona-Mahony equation. By a priori estimates methods, we show this equation possesses a global attractor in Hk for every integer k≥2, which has finite Hausdorff and fractal dimensions. We also construct approximate inertial manifolds such that every solution enters their thin neighbourhood in a finite time. © 1997 by B.G. Teubner Stuttgart-John Wiley & Sons, Ltd.

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