Strong Solutions to the Compressible Navier--Stokes--Vlasov--Fokker--Planck Equations: Global Existence Near the Equilibrium and Large Time Behavior

DOI10.1137/15M1053049zbMath1367.35110arXiv1508.07389MaRDI QIDQ5737782

Yanmin Mu, Dehua Wang, Fu-Cai Li

Publication date: 30 May 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07389

zbMATH Keywords

rate of convergencecompressible Navier-Stokes equationsglobal well-posednesstwo-phase flowsVlasov-Fokker-Planck equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Suspensions (76T20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)

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