Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS（2023）

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摘要

We show that the energy norm of weak solutions to Vlasov equation coupled with a shear thickening fluid on the whole space has a decay rate the energy norm E(t) <= C /(1 + t)(alpha), for all t >= 0 for alpha is an element of (0, 3/2).

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关键词

non-Newtonian fluid, Navier-Stokes equations, Vlasov equation, decay estimate

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