1 citations · 3 across the 6 of their papers we have counts for
3 papers · 2 filters
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…