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arXiv · 2311.07922

Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation

Young-Pil Choi·Byung-Hoon Hwang·Yeongseok Yoo
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Abstract

In this paper, we study the nonlinear Vlasov-Fokker-Planck equation with fixed collision frequency. We establish the global-in-time existence of weak solutions to the equation with large initial data. Moreover, we show that our solution satisfies the conservation laws of mass, momentum, and energy, and Boltzmann's $H$-theorem.

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Young-Pil Choi, Byung-Hoon Hwang, Yeongseok Yoo. 2023-11-14. Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation. https://arxiv.org/abs/2311.07922

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