Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation

DOI10.1002/cpa.22106zbMath1527.35353arXiv2205.02601MaRDI QIDQ6074568

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Publication date: 12 October 2023

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.02601

zbMATH Keywords

Riemann-Hilbert problemkinetic equationFredholm determinantsKorteweg-de Vries soliton gas

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Determinants, permanents, traces, other special matrix functions (15A15) KdV equations (Korteweg-de Vries equations) (35Q53) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Random matrices (algebraic aspects) (15B52) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05) Riemann-Hilbert problems in context of PDEs (35Q15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Partial degeneration of finite gap solutions to the Korteweg–de Vries equation: soliton gas and scattering on elliptic backgrounds

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