TY - JOUR
T1 - The minimal decay regularity of smooth solutions to the Euler-Maxwell two-fluid system
AU - Xu, Jiang
AU - Kawashima, Shuichi
N1 - Funding Information:
J. Xu is partially supported by the National Natural Science Foundation of China (11471158), the Program for New Century Excellent Talents in University (NCET-13-0857) and the Fundamental Research Funds for the Central Universities (NE2015005). The work is also partially supported by Grant-in-Aid for Scientific Researches (S) 25220702.
Publisher Copyright:
© 2016 World Scientific Publishing Company.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - The compressible Euler-Maxwell two-fluid system arises in the modeling of magnetized plasmas. We first design crucial energy functionals to capture its dissipative structure, which is relatively weaker in comparison with the one-fluid case in the whole space R3, due to the nonlinear coupling and cancelation between electrons and ions. Furthermore, with the aid of Lp(Rn)-Lq(Rn)-Lr(Rn) time-decay estimates, we obtain the L1(R3)-L2(R3) decay rate with the critical regularity (sc = 3) for the global-in-time existence of smooth solutions, which solves the decay problem left open in [Y. J. Peng, Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations, Ann. IHP Anal. Non Linéaire 29 (2012) 737-759].
AB - The compressible Euler-Maxwell two-fluid system arises in the modeling of magnetized plasmas. We first design crucial energy functionals to capture its dissipative structure, which is relatively weaker in comparison with the one-fluid case in the whole space R3, due to the nonlinear coupling and cancelation between electrons and ions. Furthermore, with the aid of Lp(Rn)-Lq(Rn)-Lr(Rn) time-decay estimates, we obtain the L1(R3)-L2(R3) decay rate with the critical regularity (sc = 3) for the global-in-time existence of smooth solutions, which solves the decay problem left open in [Y. J. Peng, Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations, Ann. IHP Anal. Non Linéaire 29 (2012) 737-759].
KW - Euler-Maxwell two-fluid system
KW - L-L-L estimates
KW - minimal decay regularity
KW - regularity-loss
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U2 - 10.1142/S0219891616500193
DO - 10.1142/S0219891616500193
M3 - Article
AN - SCOPUS:85007017164
SN - 0219-8916
VL - 13
SP - 719
EP - 733
JO - Journal of Hyperbolic Differential Equations
JF - Journal of Hyperbolic Differential Equations
IS - 4
ER -