edited by Michele Ciarletta (University of Salerno, Italy), Mauro Fabrizio (University of Bologna, Italy), Angelo Morro (University of Genoa, Italy), & Salvatore Rionero (University of Naples “Federico II”, Italy)

Table of Contents (244k)
Preface (708k)
Chapter 1: Well-Posedness for a Ginzburg-Landau Model in Superfiuidity (1,480k)

The Proceedings of the 1st Conference on New Trends in Fluid and Solid Models provide an overview of results and new models in fluid dynamics and, in general, in continuum mechanics. The contributions refer in particular to models in continuum mechanics, phase transitions, qualitative analysis for ODEs or PDEs models, Stability in fluids and solids, wave propagation, discontinuity and shock waves, and numerical simulations.

• Well-Posedness for a Ginzburg-Landau Model in Superfluidity (V Berti & M Fabrizio)
• Nonlinear Stability of a SIRS Epidemic Model with Convex Incidence Rate (B Buonomo & S Rionero)
• Spatial Evolution in Linear Thermoelasticity (S Chirita & M Ciarletta)
• Structure Order Balance Law and Phase Transitions (M Fabrizio)
• A Phase-Field Model for Liquid-Vapor Transitions Induced by Temperature and Pressure (A Berti & C Giorgi)
• Nonlinear Stability for Reaction-Diffusion Models (G Mulone)
• Liapunov Functionals for the Coincidence between the First and the Second Liapunov Stability Methods (S Rionero)
• On the Displacement Problem of Plane Linear Elastostatics (R Russo)
• and other papers