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- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Gran SassoIT502 papers
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6 papers · 2 filters
Slow motion for one-dimensional nonlinear damped hyperbolic Allen-Cahn systems
Raffaele Folino
We consider a nonlinear damped hyperbolic reaction-diffusion system in a bounded interval of the real line with homogeneous Neumann boundary conditions and we study the metastable…
Metastable dynamics for hyperbolic variations of the Allen-Cahn equation
Raffaele Folino, Corrado Lattanzio, Corrado Mascia
Metastable dynamics of a hyperbolic variation of the Allen-Cahn equation with homogeneous Neumann boundary conditions are considered. Using the "dynamical approach" proposed by Car…
Global Existence of Finite Energy Weak Solutions of Quantum Navier-Stokes Equations
Paolo Antonelli, Stefano Spirito
In this paper we consider the Quantum Navier-Stokes system both in two and in three space dimensions and prove global existence of finite energy weak solutions for large initial da…
An anelastic approximation arising in astrophysics
Donatella Donatelli, Eduard Feireisl
We identify the asymptotic limit of the compressible non-isentropic Navier-Stokes system in the regime of low Mach, low Froude and high Reynolds number. The system is driven by a l…
Deterministic particle approximation of the Hughes model in one space dimension
M. Di Francesco, S. Fagioli, M. D. Rosini +1
In this paper we present a new approach to the solution to a generalized version of Hughes' models for pedestrian movements based on a follow-the-leader many particle approximation…
From gas dynamics with large friction to gradient flows describing diffusion theories
Corrado Lattanzio, Athanasios E. Tzavaras
We study the emergence of gradient flows in Wasserstein distance as high friction limits of an abstract Euler flow generated by an energy functional. We develop a relative energy c…