A Maxwellian lower bound for solutions to the Boltzmann equation
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Publication:2364999
DOI10.1007/BF02509799zbMath0866.76077MaRDI QIDQ2364999
Bernt Wennberg, Ada Pulvirenti
Publication date: 4 February 1997
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)
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Cites Work
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- Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- \(L^{\infty}\) estimates for the space-homogeneous Boltzmann equation
- The Boltzmann equation and its applications
- Entropy dissipation rate and convergence in kinetic equations
- Sur la théorie de l'équation intégrodifferentielle de Boltzmann
- About the regularizing properties of the non-cut-off Kac equation
- Entropy production estimates for Boltzmann equations with physically realistic collision kernels
- On the Boltzmann equation. II: The full initial value problem
- Lower bounds for the solutions to the Kac and the boltzmann equation
- On convergence to equilibrium for Kac’s caricature of a Maxwell gas
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