The use of the heat operator in an existence theory problem of the Vlasov equation

DOI10.1080/00411458508211693zbMath0595.76126OpenAlexW1987995175MaRDI QIDQ3727676

Stephen Wollmann

Publication date: 1985

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458508211693

zbMATH Keywords

diffusion processheat operatorexistence theoryVlasov-Poisson systems

Mathematics Subject Classification ID

Statistical mechanics of plasmas (82D10) Partial differential equations of mathematical physics and other areas of application (35Q99) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Miscellaneous applications of functional analysis (46N99)

Related Items

Local existence and uniqueness theory of the Vlasov-Maxwell system, A refinement of the existence and uniqueness theorem for the Vlasov- Poisson system, Streamline diffusion methods for the Vlasov-Poisson equation, Steady-state solutions of the Vlasov-Maxwell system and their stability, Existence and uniqueness theory of the Vlasov-Poisson system with application to the problem with cylindrical symmetry

Cites Work

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• Global symmetric solutions of the initial value problem of stellar dynamics
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• Remarks on collisionless plasmas
• Global-in-time solutions of the two-dimensional vlasov-poisson systems
• On the classical solutions of the initial value problem for the unmodified non‐linear vlasov equation II special cases