Propagation of Gevrey regularity for  solutions of Landau equations

Hua Chen; Wei-Xi Li; Chao-Jiang Xu

doi:10.3934/krm.2008.1.355

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2008, Volume 1, Issue 3: 355-368. Doi: 10.3934/krm.2008.1.355

This issue Previous Article Diffusion and guiding center approximation for particle transport in strong magnetic fields Next Article Smoothness of classical solutions to the Vlasov-Poisson-Landau system

Propagation of Gevrey regularity for solutions of Landau equations

1.
School of Mathematics and Statistics, Wuhan University, Wuhan 430072
2.
School of Mathematics, Wuhan University, 430072, Wuhan

Received: April 30, 2008

Revised: May 31, 2008

Published: August 2008

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Abstract

By using the energy-type inequality, we obtain, in this paper, the result on propagation of Gevrey regularity for the solution of the spatially homogeneous Landau equation in the cases of Maxwellian molecules and hard potential.

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Mathematics Subject Classification: Primary: 35B65, 76P05.

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