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Pré-Publication, Document De Travail Année : 2018

New functional inequality and its application

Résumé

In this short note, we prove by simple arguments a new kind of Logarithmic Sobolev inequalities generalizing two known inequalities founded in some papers related to fluid dynamics models (see for instance [6] and [3]). As a by product, we show how our inequality can help in obtaining some important a priori estimates for the solution of the Navier-Stokes-Korteweg system.
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Dates et versions

hal-01905324 , version 1 (25-10-2018)

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  • HAL Id : hal-01905324 , version 1

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Bilal Al Taki. New functional inequality and its application. 2018. ⟨hal-01905324⟩
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