A statistical approach to the asymptotic behavior of a class of generalized nonlinear Schrödinger equations

DOI10.1007/s00220-003-0978-2zbMath1083.82009OpenAlexW2099685919MaRDI QIDQ1424237

Richard Jordan, Bruce Turkington, Richard S. Ellis, Peter Tak-Hun Otto

Publication date: 11 March 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0978-2

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Statistical turbulence modeling (76F55) Large deviations (60F10) NLS equations (nonlinear Schrödinger equations) (35Q55) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Infinite-dimensional dissipative dynamical systems (37L99)

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Aspects of PDEs Related to Fluid Flows ⋮ Statistical mechanics of the 3D axisymmetric Euler equations in a Taylor–Couette geometry ⋮ Nonequilibrium statistical behavior of nonlinear Schrödinger equations ⋮ Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation ⋮ The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble

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