From the 1 of 4 linked papers with an AI index.
4 papers
A Unified Gradient Theory for Frame-Indifferent Rates of Tensorial Internal Variables
Luis Espath
The paper develops a thermodynamically consistent gradient theory for continua with tensor-valued internal variables, introducing unified generators that provide frame‑indifferent…
Compressible fluids with distinct mass and linear-momentum transport
Luis Espath, Eliot Fried
We formulate a thermodynamically consistent continuum theory for compressible, viscous, heat-conducting fluids in which the velocity entering the balance of mass is distinguished f…
A Phase-field Model for Apoptotic Cell Death
Daniel A. Vaughan, Anna M. Piccinini, Mischa Zelzer +4
The process of programmed cell death, namely apoptosis, is a natural mechanism that regulates healthy tissue, multicellular structures, and homeostasis. An improved understanding o…
Inexact Uzawa-Double Deep Ritz Method for Weak Adversarial Neural Networks
Emin Benny-Chacko, Ignacio Brevis, Luis Espath +1
Residual minimization in dual norms is central to Weak Adversarial Neural Network (WAN) approaches for solving partial differential equations (PDEs). This framework naturally leads…