Abstract
In this paper, we study two-fluid compressible Euler-Maxwell equations in the whole space or periodic space. In comparison with the one-fluid case, we need to deal with the difficulty mainly caused by the nonlinear coupling and cancelation between electrons and ions. Precisely, the expected dissipation rates of densities for two carriers are no longer available. To capture the weaker dissipation, we develop a continuity for compositions, which is a natural generalization from Besov spaces to Chemin-Lerner spaces (space-time Besov spaces). An elementary fact that indicates the relation between homogeneous Chemin-Lerner spaces and inhomogeneous Chemin-Lerner spaces will been also used.
| Original language | English |
|---|---|
| Pages (from-to) | 1422-1447 |
| Number of pages | 26 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 45 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2013 Oct 4 |
| Externally published | Yes |
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Keywords
- Chemin-Lerner spaces
- Classical solutions
- Two-fluid Euler-Maxwell equations
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics
Cite this
Global well-posedness in critical besov spaces for two-fluid euler-maxwell equations. / Xu, Jiang; Xiong, Jun; Kawashima, Shuichi.
In: SIAM Journal on Mathematical Analysis, Vol. 45, No. 3, 04.10.2013, p. 1422-1447.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Global well-posedness in critical besov spaces for two-fluid euler-maxwell equations
AU - Xu, Jiang
AU - Xiong, Jun
AU - Kawashima, Shuichi
PY - 2013/10/4
Y1 - 2013/10/4
N2 - In this paper, we study two-fluid compressible Euler-Maxwell equations in the whole space or periodic space. In comparison with the one-fluid case, we need to deal with the difficulty mainly caused by the nonlinear coupling and cancelation between electrons and ions. Precisely, the expected dissipation rates of densities for two carriers are no longer available. To capture the weaker dissipation, we develop a continuity for compositions, which is a natural generalization from Besov spaces to Chemin-Lerner spaces (space-time Besov spaces). An elementary fact that indicates the relation between homogeneous Chemin-Lerner spaces and inhomogeneous Chemin-Lerner spaces will been also used.
AB - In this paper, we study two-fluid compressible Euler-Maxwell equations in the whole space or periodic space. In comparison with the one-fluid case, we need to deal with the difficulty mainly caused by the nonlinear coupling and cancelation between electrons and ions. Precisely, the expected dissipation rates of densities for two carriers are no longer available. To capture the weaker dissipation, we develop a continuity for compositions, which is a natural generalization from Besov spaces to Chemin-Lerner spaces (space-time Besov spaces). An elementary fact that indicates the relation between homogeneous Chemin-Lerner spaces and inhomogeneous Chemin-Lerner spaces will been also used.
KW - Chemin-Lerner spaces
KW - Classical solutions
KW - Two-fluid Euler-Maxwell equations
UR - http://www.scopus.com/inward/record.url?scp=84884764363&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84884764363&partnerID=8YFLogxK
U2 - 10.1137/120888673
DO - 10.1137/120888673
M3 - Article
VL - 45
SP - 1422
EP - 1447
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 3
ER -