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math.AP2019
Global existence for a class of viscous systems of conservation laws
Luca Alasio, Stefano Marchesani
We prove existence and boundedness of classical solutions for a family of viscous conservation laws in one space dimension for arbitrarily large time. The result relies on H. Amann…
math.AP2018
On the existence of -valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions
Stefano Marchesani, Stefano Olla
We prove existence of -weak solutions of a quasilinear wave equation with boundary conditions. This describes the isothermal evolution of a one dimensional non-linear elastic…