906 citations
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Showing 2024 · math.APShow all
3 papers · 2 filters
math.AP2024★ 1 cited
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…
math.AP2024
Helicity in dispersive fluid mechanics
S. L. Gavrilyuk, H. Gouin
By dispersive models of fluid mechanics we are referring to the Euler-Lagrange equations for the constrained Hamilton action functional where the internal energy depends on high or…
math.AP2024★ 1 cited
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…