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math.AP2026
A Payne-Whitham model of urban traffic networks in the presence of traffic lights and its application to traffic optimisation
Mauritz N. Cartier van Dissel, PaweÅ Gora, DragoÅ Manea
Urban road transport is a major civilisational and economic challenge, affecting the quality of life and economic activity. Addressing these challenges requires a multidisciplinary…
math.AP2024
The Hardy inequality and large time behaviour of the heat equation on
Cristian Cazacu, Liviu I. Ignat, DragoÅ Manea
In this paper we study the large time asymptotic behaviour of the heat equation with Hardy inverse-square potential on corner spaces , $k\geq 0…
math.AP2024
Concentration limit for non-local dissipative convection-diffusion kernels on the hyperbolic space
MarÃa del Mar González, Liviu I. Ignat, DragoÅ Manea +1
We study a non-local evolution equation on the hyperbolic space . We first consider a model for particle transport governed by a non-local interaction kernel defined…