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L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 6, 页码: 2505-2522
作者:  Geng, Shifeng;  Huang, Feimin;  Wu, Xiaochun
收藏  |  浏览/下载:61/0  |  提交时间:2023/02/07
L-2-convergence  compressible Euler Equations  time asymptotic expansion  time-dependent damping  relative entropy inequality  
Lower Bounds on Multivariate Higher Order Derivatives of Differential Entropy 期刊论文
ENTROPY, 2022, 卷号: 24, 期号: 8, 页码: 17
作者:  Guo, Laigang;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载:67/0  |  提交时间:2023/02/07
differential entropy  completely monotone  Mckean's conjecture  log-concavity  Gaussian optimality  
A Generalization of the Concavity of Renyi Entropy Power 期刊论文
ENTROPY, 2021, 卷号: 23, 期号: 12, 页码: 18
作者:  Guo, Laigang;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载:133/0  |  提交时间:2022/04/02
Renyi entropy  entropy power inequality  nonlinear heat equation  
W-Entropy, Super Perelman Ricci Flows, and (K, m)-Ricci Solitons 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 卷号: 30, 期号: 3, 页码: 3149-3180
作者:  Li, Songzi;  Li, Xiang-Dong
收藏  |  浏览/下载:157/0  |  提交时间:2020/09/23
W-entropy  Witten Laplacian  CD(K, m)-condition  (K, m)-Ricci solitons  (K, m)-super Perelman Ricci flows  (K, m)-Perelman Ricci flow  Gaussian solitons