4 citations · 10 across the 19 of their papers we have counts for
3 papers · 2 filters
Conservation of energy for the Euler-Korteweg equations
Tomasz Dębiec, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda +1
In this article we study the principle of energy conservation for the Euler-Korteweg system. We formulate an Onsager-type sufficient regularity condition for weak solutions of the…
A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness
Cleopatra Christoforou, Myrto Galanopoulou, Athanasios E. Tzavaras
We embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system and derive a relative entropy identity in the extended variables. Fol…
Localization in adiabatic shear flow via geometric theory of singular perturbations
Min-Gi Lee, Theodoros Katsaounis, Athanasios Tzavaras
We study localization occurring during high speed shear deformations of metals leading to the formation of shear bands. The localization instability results from the competition am…