L1-stability of the Boltzmann equation for Maxwellian molecules

DOI10.1088/0951-7715/18/3/003zbMath1076.82042OpenAlexW2021625656MaRDI QIDQ3025230

Seung-Yeal Ha

Publication date: 13 July 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/18/3/003

zbMATH Keywords

\(L^1\)-stabilitysufficient conditionsmall perturbationanalytical approachquasi-Lyapunov estimate

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Stability of solutions to ordinary differential equations (34D20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hydrodynamic stability (76E99)

Related Items (6)

Stability estimates of the Boltzmann equation in a half space ⋮ On the Cauchy problem for the inelastic Boltzmann equation with external force ⋮ Force stability of the Boltzmann equations ⋮ Uniform stability of solutions of Boltzmann equation for soft potential with external force ⋮ Uniform \(L^1\) stability of the inelastic Boltzmann equation with large external force for hard potentials ⋮ L p stability of solutions of Boltzmann equation with external force in soft potentials

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