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  • 1
    Electronic Resource
    Electronic Resource
    Attractors for the Davey–Stewartson systems on R2 (1997)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 38 (1997), S. 2524-2534 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531992
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Attractors for the Klein–Gordon–Schrödinger equation (1999)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 40 (1999), S. 2445-2457 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532875
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Exponential Attractors for the Generalized Ginzburg-Landau Equation (2000)
    Springer
    Acta mathematica sinica 16 (2000), S. 515-526 
    Details
    ISSN: 1000-9574
    Keywords: Key words Global attractor, Exponential attractor, Semigroup, Ginzburg-Landau equation ; 1991MR Subject Classification 35B40, 35P10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00011558
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  • 4
    Electronic Resource
    Electronic Resource
    Attractors and Approximate Inertial Manifolds for the Generalized Benjamin-Bona-Mahony Equation (1997)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 20 (1997), S. 189-203 
    Details
    ISSN: 0170-4214
    Keywords: Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
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