Hydrodynamic limit for a diffusive system with boundary conditions

zbMath1468.60121arXiv1903.08576MaRDI QIDQ5144716

Stefano Marchesani

Publication date: 19 January 2021

Full work available at URL: https://arxiv.org/abs/1903.08576

zbMATH Keywords

relative entropythermodynamicshydrodynamic limitsClausius inequality

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (1)

Global existence for a class of viscous systems of conservation laws

Cites Work

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• Microscopic theory of isothermal elastodynamics
• Hydrodynamic limit for a Hamiltonian system with boundary conditions and conservative noise
• Hydrodynamical limit for a Hamiltonian system with weak noise
• Global existence for a class of viscous systems of conservation laws
• Hydrodynamic limit for an anharmonic chain under boundary tension
• On the existence of L²-valued thermodynamic entropy solutions for a hyperbolic system with boundary conditions
• Microscopic Derivation of an Isothermal Thermodynamic Transformation

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