Invariant measures for some partial differential equations

DOI10.1016/0167-2789(94)00238-LzbMath0888.58021WikidataQ107099910 ScholiaQ107099910MaRDI QIDQ1842191

Brigitte Bidégaray-Fesquet

Publication date: 18 April 1995

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

invariant measuresnonlinear Schrödinger equationHamiltonian systems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Ergodic theory (37A99) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items (3)

A mean-field statistical theory for the nonlinear Schrödinger equation ⋮ Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation ⋮ Statistical equilibrium states for the nonlinear Schrödinger equation

Cites Work

• An invariant measure for the equation \(u_{tt}-u_{xx}+u^ 3=0\)
• Almost periodic behavior of nonlinear waves
• Time evolution of almost periodic solutions of the KdV equation
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Statistical mechanics of the nonlinear Schrödinger equation
• Recurrence in Semidiscrete Approximations of the Nonlinear Schrödinger Equation
• Modulational instability and the Fermi-Pasta-Ulam recurrence
• Convergence of an Energy-Preserving Scheme for the Zakharov Equations in one Space Dimension
• Periodic solutions of the KdV equation
• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
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