Regularity of the attractor for Schrödinger equation

DOI10.1016/S0893-9659(96)00111-5zbMath0888.35107MaRDI QIDQ1370427

Olivier Goubet

Publication date: 26 October 1997

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

global attractorweakly damped nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving ⋮ Asymptotic smoothing effect of solutions to Davey-Stewartson systems on the whole plane ⋮ The linearly damped nonlinear Schrödinger equation with localized driving: spatiotemporal decay estimates and the emergence of extreme wave events ⋮ Regularity of trajectory attractor and upper semicontinuity of global attractor for a 2D non-Newtonian fluid ⋮ Exciting extreme events in the damped and AC-driven NLS equation through plane-wave initial conditions

Cites Work

• Asymptotic analysis of the Navier-Stokes equations
• Finite dimensional behavior for weakly damped driven Schrödinger equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension 2
• Regularity of the attractor for a weakly damped nonlinear schrödinger equation

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