91 citations · 382 across the 40 of their papers we have counts for
5 papers · 2 filters
Stability properties of the Euler-Korteweg system with nonmonotone pressures
Jan Giesselmann, Athanasios E. Tzavaras
We establish a relative energy framework for the Euler-Korteweg system with non-convex energy. This allows us to prove weak-strong uniqueness and to show convergence to a Cahn-Hill…
Existence of localizing solutions in plasticity via geometric singular perturbation theory
Min-Gi Lee, Athanasios Tzavaras
Shear bands are narrow zones of intense shear observed during plastic deformations of metals at high strain rates. Because they often precede rupture, their study attracted attenti…
Localization in inelastic rate dependent shearing deformations
Theodoros Katsaounis, Min-Gi Lee, Athanasios Tzavaras
Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into…
Relative entropy for hyperbolic-parabolic systems and application to the constitutive theory of thermoviscoelasticity
Cleopatra Christoforou, Athanasios Tzavaras
We extend the relative entropy identity to the class of hyperbolic-parabolic systems whose hyperbolic part is symmetrizable. The resulting identity, in the general theory, is usefu…
From gas dynamics with large friction to gradient flows describing diffusion theories
Corrado Lattanzio, Athanasios E. Tzavaras
We study the emergence of gradient flows in Wasserstein distance as high friction limits of an abstract Euler flow generated by an energy functional. We develop a relative energy c…