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math-ph2019★ 1 cited
Hydrodynamic Limits and Clausius inequality for Isothermal Non-linear Elastodynamics with Boundary Tension
Stefano Marchesani, Stefano Olla
We consider a chain of particles connected by an-harmonic springs, with a boundary force (tension) acting on the last particle, while the first particle is kept pinned at a point.…
math-ph2019
Hydrodynamic limit for a diffusive system with boundary conditions
Stefano Marchesani
We study the hydrodynamic limit for the isothermal dynamics of an anharmonic chain under hyperbolic space-time scaling and with nonvanishing viscosity. The temperature is kept cons…