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4 papers · 2 filters
On critical behaviour in systems of Hamiltonian partial differential equations
B. Dubrovin, T. Grava, C. Klein +1
We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two c…
Integrable multi-phase thermodynamic systems and Tsallis' composition rule
Giuseppe De Nittis, Paolo Lorenzoni, Antonio Moro
We derive a class of equations of state for a multi-phase thermodynamic system associated with a finite set of order parameters that satisfy an integrable system of hydrodynamic ty…
Shock dynamics of phase diagrams
Antonio Moro
A thermodynamic phase transition denotes a drastic change of state of a physical system due to a continuous change of thermodynamic variables, as for instance pressure and temperat…
Integrable viscous conservation laws
Alessandro Arsie, Paolo Lorenzoni, Antonio Moro
We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation o…