On the spatially homogeneous Boltzmann equation with a velocity-dependent force term

DOI10.1007/BF00420180zbMath0529.35071OpenAlexW1983645274MaRDI QIDQ787399

C. P. Gruenfeld, A. Corciovei

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00420180

zbMATH Keywords

Cauchy problemstrict solutionsregularity propertiesnonlinear perturbation theory uniquenessspatially homogeneous Boltzmann equationvelocity-dependent force term

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fixed-point theorems (47H10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Partial differential equations of mathematical physics and other areas of application (35Q99) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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On the nonlinear Boltzmann equation with force term, Solutions of the spatially homogeneous Boltzmann equation with time- dependent Lorentz force term

Cites Work

• Differentiability of solutions of some evolution equations in nonreflexive Banach spaces
• Nonlinear perturbations and abstract evolution equations in general Banach spaces
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