167 citations · 523 across the 43 of their papers we have counts for
46 papers
Well-posedness and existence of an invariant measure for the linearly-damped KdV equations driven by a jump noise
Krutika Tawri, Roger Temam, Xinwu Yang
In this paper, we investigate the linearly damped KdV equation on the one-dimensional torus , perturbed by a multiplicative Lévy noise. For any damping coefficient $γ>…
Convergence Properties of PINNs for the Navier-Stokes-Cahn-Hilliard System
Kevin Buck, Roger Temam
Approximating solutions to differential equations using neural networks has become increasingly popular and shows significant promise. In this paper, we propose a simplified framew…
From Obstacle Problems to Neural Insights: Feed Forward Neural Network Modeling of Ice Thickness
Kapil Chawla, William Holmes, Roger Temam
In this study, we integrate the established obstacle problem formulation from ice sheet modeling with cutting-edge deep learning methodologies to enhance ice thickness predictions,…
Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow
Woojeong Kim, Krutika Tawri, Roger Temam
In this article we consider a fluid-structure interactions model on a three dimensional bounded domain, that describes the mechanical interaction between blood flow and a thrombus…
On the dynamics of shallow ice sheets. Modelling and analysis
Paolo Piersanti, Roger Temam
We formulate a model describing the evolution of thickness in a shallow ice sheet lying over a lithosphere. The model is thus governed by a set of variational inequalities that inv…
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface
Paolo Piersanti, Kristen White, Bogdan Dragnea +1
In this paper we present a three-dimensional discrete model governing the deformation of a viral capsid, modelled as a regular icosahedron and subjected not to cross a given flat r…