On an \(L^2\) critical Boltzmann equation

DOI10.1016/j.na.2024.113609zbMath1547.35489MaRDI QIDQ6611111

Nataša Pavlović, Ryan Denlinger, Thomas Chen

Publication date: 26 September 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Boltzmann equationsdispersive equationsnoncompact semigroupsPDEs in connection with quantum mechanicsperturbations of infinite-dimensional dissipative dynamical systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Scattering theory for PDEs (35P25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

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