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math.AP2026

Convergence of a two-relaxation-times kinetic approximation towards the solution of a scalar conservation law

Denise Aregba-Driollet, Thomas Bellotti

We introduce a two-relaxation-times (TRT) kinetic approximation for scalar non-linear conservation laws in one space dimension, addressing the convergence of relaxation approximati…

math.AP2026

Determining an Iwatsuka Hamiltonian by knowledge of its first band function

Mourad Choulli, Nour Kerraoui, Eric Soccorsi

We investigate the inverse problem of retrieving the magnetic potential of an Iwatsuka Hamiltonian through knowledge of its first band function. We prove that two magnetic potentia…