1 citations · 3 across the 6 of their papers we have counts for
6 papers
Random Neural Network Expressivity for Non-Linear Partial Differential Equations
Muhammed Ali Mehmood, Lukas Gonon
Neural networks with randomly generated hidden weights (RaNNs) have been extensively studied, both as a standalone learning method and as an initialization for fully trainable deep…
Microscopic derivation of a one-dimensional lubrication model with roughness
Aline Lefebvre-Lepot, Muhammed Ali Mehmood, Charlotte Perrin +1
We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion…
Stability of partially congested travelling wave solutions for the extended Aw-Rascle system
Émile Deléage, Muhammed Ali Mehmood
We prove the non-linear stability of a class of travelling-wave solutions to the extended Aw-Rascle system with a singular offset function, which is formally equivalent to the comp…
Analysis of a Navier-Stokes phase-field crystal system
Cecilia Cavaterra, Maurizio Grasselli, Muhammed Ali Mehmood +1
We consider an evolution system modeling a flow of colloidal particles which are suspended in an incompressible fluid and accounts for colloidal crystallization. The system consist…
Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system
Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin +1
We introduce the notion of duality solution for the hard-congestion model on the real line, and additionally prove an existence result for this class of solutions. Our study revolv…
Hard congestion limit of the dissipative Aw-Rascle system with a polynomial offset function
Muhammed Ali Mehmood
We study the Aw-Rascle system in a one-dimensional domain with periodic boundary conditions, where the offset function is replaced by the gradient of the function , where…