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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…
Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming
Nilasis Chaudhuri, Young-Pil Choi, Oliver Tse +1
We consider a one-dimensional hydrodynamic model featuring nonlocal attraction-repulsion interactions and singular velocity alignment. We introduce a two-velocity reformulation and…
On a blow-up criterion for the Navier-Stokes-Fourier system under general equations of state
Anna Abbatiello, Danica Basarić, Nilasis Chaudhuri
In this paper we prove a blow-up criterion for the compressible Navier-Stokes-Fourier system for general thermal and caloric equations of state with inhomogeneous boundary conditio…
Nonuniqueness of weak solutions to the dissipative Aw-Rascle model
Nilasis Chaudhuri, Eduard Feireisl, Ewelina Zatorska
We prove nonuniqueness of weak solutions to multi-dimensional generalisation of the Aw-Rascle model of vehicular traffic. Our generalisation includes the velocity offset in a form…
On weak(measure valued)-strong uniqueness for Navier-Stokes-Fourier system with Dirichlet boundary condition
Nilasis Chaudhuri
In this paper, our goal is to define a measure valued solution of compressible Navier--Stokes--Fourier system for a heat conducting fluid with Dirichlet boundary condition for temp…