96 citations · 518 across the 22 of their papers we have counts for
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Energy Conservation for the Compressible Euler and Navier-Stokes Equations with Vacuum
Ibrokhimbek Akramov, Tomasz Dębiec, Jack W. D. Skipper +1
We consider the compressible isentropic Euler equations on with a pressure law , where . This includes all physically relevant…
On the Extension of Onsager's Conjecture for General Conservation Laws
Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +2
The aim of this work is to extend and prove the Onsager conjecture for a class of conservation laws that possess generalized entropy. One of the main findings of this work is the "…
Renormalization of active scalar equations
Ibrokhimbek Akramov, Emil Wiedemann
We consider transport equations with an incompressible transporting vector field. Whereas smooth solutions of such equations conserve every norm simply by the chain rule, the…
Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation
Tomasz Dębiec, Marie Doumic, Piotr Gwiazda +1
The aim of this study is to generalise recent results of the two last authors on en-tropy methods for measure solutions of the renewal equation to other classes of structured popul…
Onsager's Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit
Claude Bardos, Edriss Titi, Emil Wiedemann
We consider the incompressible Euler equations in a bounded domain in three space dimensions. Recently, the first two authors proved Onsager's conjecture for bounded domains, i.e.,…