The optimal time-decay estimate of solutions to two-fluid Euler-Maxwell equations in the critical Besov space

被引：0
|
作者：
Wu, Limiao [1 ]
Shi, Weixuan [1 ,2 ]
Xu, Jiang [1 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Jiangsu, Peoples R China
[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
来源：
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2019年 / 99卷 / 11期
基金：
中国国家自然科学基金;
关键词：
L-p-L-q-L-r estimates; regularity-loss; minimal decay regularity; two-fluid Euler-Maxwell equations; REGULARITY-LOSS TYPE; GLOBAL EXISTENCE; SMOOTH SOLUTIONS; CAUCHY-PROBLEM;
D O I：
10.1002/zamm.201800272
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain the optimal time-decay rate of classical solutions to two-fluid Euler-Maxwell equations in RN(N=2,3), which is a remaining question in the framework of critical Besov space (see [1]). The system is of regularity-loss, so it is difficult to get decay rates in the solution space. In this paper, the new estimate of Lp-Lq-Lr type and something like "square formula of Duhamel principle" are mainly used. It is shown that in the critical Besov space, the solution decays to constant equilibrium at the rate (1+t)-N2(1p-12) with 1 <= p<6/5 if N=3 and p=1 if N=2.
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页数：12
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