148 citations · 985 across the 85 of their papers we have counts for
104 papers
Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
We consider the incompressible and stationary Stokes equations on an infinite two-dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove well-posedn…
Diffusive limits of the steady state radiative heat transfer system: Curvature effects
Mohamed Ghattassi, Xiaokai Huo, Nader Masmoudi
This paper is devoted to the diffusive limit of the nonlinear radiative heat transfer system with curved boundary domain (\textit{two dimensional disk}). The solution constructed i…
Tollmien-Schlichting waves in the subsonic regime
Nader Masmoudi, Yuxi Wang, Di Wu +1
The Tollmien-Schlichting (T-S) waves play a key role in the early stages of boundary layer transition. In a breakthrough work, Grenier, Guo and Nguyen gave the first rigorous const…
SEEDS: Exponential SDE Solvers for Fast High-Quality Sampling from Diffusion Models
Martin Gonzalez, Nelson Fernandez, Thuy Tran +3
A potent class of generative models known as Diffusion Probabilistic Models (DPMs) has become prominent. A forward diffusion process adds gradually noise to data, while a model lea…
Space quasi-periodic steady Euler flows close to the inviscid Couette flow
Luca Franzoi, Nader Masmoudi, Riccardo Montalto
We prove the existence of steady \emph{space quasi-periodic} stream functions, solutions for the Euler equation in vorticity-stream function formulation in the two dimensional chan…
Higher Regularity Theory for a Mixed-Type Parabolic Equation
Sameer Iyer, Nader Masmoudi
In this paper, we study the higher regularity theory of a mixed-type parabolic problem. We extend the recent work of \cite{DMR} to construct solutions that have an arbitrary number…