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math.AP2022★ 1 cited
The Relative Entropy Method for Inhomogeneous Systems of Balance Laws
Cleopatra Christoforou
General hyperbolic systems of balance laws with inhomogeneity in space and time in all constitutive functions are studied in the context of relative entropy. A framework is develop…
math.AP2022
Exponential Stability of Large BV Solutions in a Model of Granular flow
Fabio Ancona, Laura Caravenna, Cleopatra Christoforou
We consider a system of hyperbolic balance laws, in one-space dimension, that describes the evolution of a granular material with slow erosion and deposition. The dynam…