3 papers
math.AP2026
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…
math.NA2025
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…
math.AP2024
Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system
Andrea Giorgini, Alain Miranville, Roger Temam
The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory by the so-called Model H. The system consists of the Navier-Stokes e…