Entropy Dissipation Estimates for the Landau Equation: General Cross Sections

Entropy Dissipation Estimates for the Landau Equation: General Cross Sections
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Landau 方程的熵耗散估计:一般横截面

DOI:
10.1007/978-3-319-32144-8_6
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发表时间:
2016
期刊:
arXiv: Analysis of PDEs
影响因子:
--
通讯作者:
L. Desvillettes
L. Desvillettes
中科院分区:
--
文献类型:
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作者:
L. Desvillettes

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我们在这里提出了对Desvillettes(J Funct Anal 269:1359-1403,2015,[14])中关于朗道碰撞核熵耗散(在软势的情况下,包括库仑势)的下界的一般截面的情况的扩展。我们还简化了Desvillettes(J Funct Anal 269:1359-1403,2015,[14])中提出的下界的证明。
We present here an extension to the case of general cross sections of the lower bound obtained in Desvillettes (J Funct Anal 269:1359–1403, 2015, [14]) on the entropy dissipation of Landau’s collision kernel (in the case of soft potentials, including the Coulomb potential). We also simplify somewhat the proof of the lower bound proposed in Desvillettes (J Funct Anal 269:1359–1403, 2015, [14]).