12 citations · 27 across the 6 of their papers we have counts for
7 papers
Quasi-static limit for the asymmetric simple exclusion
Anna De Masi, Stefano Marchesani, Stefano Olla +1
We study the one-dimensional asymmetric simple exclusion process on the lattice with creation/annihilation at the boundaries. The boundary rates are time dependent…
Quasi-static limit for a hyperbolic conservation law
Stefano Marchesani, Stefano Olla, Lu Xu
We study the quasi-static limit for the entropy weak solution of scalar one-dimensional hyperbolic equations with strictly concave or convex flux and time dependent boun…
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.…
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…
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…
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…
Hydrodynamic Limit for an Anharmonic Chain under Boundary Tension
Stefano Marchesani, Stefano Olla
We study the hydrodynamic limit for the isothermal dynamics of an anharmonic chain under hyperbolic space-time scaling under varying tension. The temperature is kept constant by a…