A Priori Estimate of Solutions of a Mixed Problem for the Vlasov–Poisson System with a Homogeneous External Magnetic Field

Author:

Skubachevskii A. L.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference20 articles.

1. Arsen’ev, A.A., On the existence of generalized and stationary statistical solutions of the Vlasov system of equations in a bounded domain, Differ. Uravn., 1979, vol. 15, no. 7, pp. 1253–1266.

2. Bardos, C. and Degond, P., Global existence for the Vlasov–Poisson equation in 3 space variables with small initial data, Ann. Inst. H. Poincaré. Anal. Non Linéaire, 1985, vol. 2, no. 2, pp. 101–118.

3. Batt, J., Global symmetric solutions of the initial value problem of stellar dynamics, J. Differ. Equat., 1977, vol. 25, no. 3, pp. 342–364.

4. Belyaeva, Yu.O. and Skubachevskii, A.L., On the unique solvability of the first mixed problem for the system of Vlasov–Poisson equations in an infinite cylinder, Zap. Nauchn. Semin. POMI, 2018, vol. 477, pp. 12–34.

5. Belyaeva, Yu.O., Gebhard, B., and Skubachevskii, A.L., A general way to confined stationary Vlasov–Poisson plasma configurations, Kinet. Relat. Models, 2021, vol. 14, no. 2, pp. 257–282.

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