Nonuniqueness of Weak Solutions to the Dissipative Aw–Rascle Model
Nilasis Chaudhuri,
Eduard Feireisl,
Ewelina Zatorska
Abstract: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 of gradient of density function, which results in a dissipation effect, similar to viscous dissipation in the compressible viscous fluid models. We show that despite this dissipation, the extension of the method of convex integration can be applied to generate infinitely many weak solutions connecting arbitrary initial and final stat… Show more
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