Geodesic
The two-species Vlasov–Maxwell–Landau system in ℝ 3
Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 5, pp. 1099-1123

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We consider the global classical solutions near the Maxwellians to the two-species Vlasov–Maxwell–Landau system in the whole space. It is shown that the cancelation properties between two species coupled with the electric effect yield the faster time decay of the electric field, which leads to our construction of global solutions.

DOI : 10.1016/j.anihpc.2014.05.005
Classification : 82C40, 82D05, 82D10, 35B40
Keywords: Vlasov–Maxwell–Landau system, Global solution, Time decay, Energy method 
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     author = {Wang, Yanjin},
     title = {The two-species {Vlasov{\textendash}Maxwell{\textendash}Landau} system in $ {\mathbb{R}}^{3}$},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1099--1123},
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     year = {2015},
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Wang, Yanjin. The two-species Vlasov–Maxwell–Landau system in $ {\mathbb{R}}^{3}$. Annales de l'I.H.P. Analyse non linéaire, Tome 32 (2015) no. 5, pp. 1099-1123. doi: 10.1016/j.anihpc.2014.05.005

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