Global existence for the Boltzmann equation in L^r_v L^∞_t L^∞_x spaces

2018/06/05 by Koya Nishimura, Nishimura, Koya
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1806.01692

openalex publication_date 2018/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Boltzmann equation near a global Maxwellian. We prove the global existence of a unique mild solution with initial data which belong to the L^r_v L^∞_t L^∞_x spaces where r ∈ (1,∞] by using the excess conservation laws and entropy inequality introduced in [5].

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