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BD Entropy and Bernis-Friedman Entropy

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 نشر من قبل Khawla Msheik
 تاريخ النشر 2018
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Didier Bresch




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In this note, we propose in the full generality a link between the BD entropy introduced by D. Bresch andB. Desjardins for the viscous shallow-water equations and the Bernis-Friedman (called BF) dissipative entropyintroduced to study the lubrications equations. Dierent dissipative entropies are obtained playing with the dragterms on the viscous shallow water equations. It helps for instance to prove global existence of nonnegativeweak solutions for the lubrication equations starting from the global existence of nonnegative weak solutions forappropriate viscous shallow-water equations.

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