New Trends in Fluid and Solid Models

Vietri sul Mare, 4-6 September 2025

Aim and Scope

Over the past two decades, a strong interest has developed in overcoming classical formulations of Continuum Mechanics. This is due, in part, to experimental advances that make it possible to study responses to high-frequency and short-wavelength perturbations, leading to a generalization of classical hydrodynamic theories with frequency- and wave-vector-dependent memory functions and transport coefficients. However, these developments have not yet had an equivalent impact on non-equilibrium thermodynamics.

Another motivation is the need to correct the classical transport equations (Fourier's, Fick's and Newton's laws), which lead to parabolic differential equations and infinite propagation velocities, in contrast to the experimental evidence. This problem can be solved by considering finite relaxation times for dissipative flows (heat, diffusion, momentum).

These problems are not only theoretical but have practical implications in materials such as polymeric fluids, low-temperature conductors and superconductors. Since such systems operate out of equilibrium, it is essential to develop new theories of Continuum Mechanics that take these into account.

The aim of the Conference “New Trends in Fluid and Solid Models” (NTFSM - VI Edition) is both to improve the interactions between all researchers acting in the different branches of Continuum Mechanics and pull together the various application areas and theoretical branches to develop a more powerful and applicable discipline.