On the existence of global weak solutions to two-component vlasov-poisson and Vlasov-Fokker-Planck systems in one space dimension with L1-initial data

DOI10.1016/S0362-546X(96)00091-0zbMath0883.35091OpenAlexW2068692066MaRDI QIDQ4354582

Ping Zhang, Qingjiu Qiu

Publication date: 29 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00091-0

zbMATH Keywords

Vlasov-Poisson equationsVlasov-Fokker-Planck equationKolmogorov's fundamental solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

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• Existence of global weak solutions to one‐component vlasov‐poisson and fokker‐planck‐poisson systems in one space dimension with measures as initial data
• The Cauchy problem for the kinetic equation of plasma