Local solutions in gevrey classes to the nonlinear Boltzmann equation without cutoff
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Publication:3731282
DOI10.1007/BF03167864zbMath0597.76072MaRDI QIDQ3731282
Publication date: 1984
Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)
Cauchy problemexistence theoremGevrey classesnonlinear Boltzmann equationcutoff approximationsGrad's angular cutoff approximationspotentials of infinite range
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Cauchy-Kovalevskaya theorems (35A10) Kinetic theory of gases in equilibrium statistical mechanics (82B40)
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Cites Work
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- Steady solutions of the Boltzmann equation for a gas flow past an obstacle. I: Existence
- Intermolecular forces of infinite range and the Boltzmann equation
- Local solutions to the initial and initial boundary value problem for the Boltzmann equation with an external force. I
- A note on a theorem of Nirenberg
- Pseudo-differential operators and Gevrey classes
- Boltzmann collision operator with inverse‐power intermolecular potentials, I
