Statistical mechanics of the periodic Benjamin–Ono equation
DOI10.1063/1.5091737zbMath1428.82025arXiv1902.01153OpenAlexW3100966078MaRDI QIDQ5235521
Caroline Brett, Gordon Blower, Ian Doust
Publication date: 11 October 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.01153
Euler equationsGibbs measureBenjamin-Ono equationHamiltonian systemcompressible gas\(n\)-soliton solutions
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Gas dynamics (general theory) (76N15) Hamilton-Jacobi equations in mechanics (70H20) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30) Soliton solutions (35C08) Euler equations (35Q31) Integro-partial differential equations (35R09) PDEs with measure (35R06)
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