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- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali del Gran SassoIT502 papers
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7 papers · 2 filters
Metastability and layer dynamics for the hyperbolic relaxation of the Cahn-Hilliard equation
Raffaele Folino, Corrado Lattanzio, Corrado Mascia
The goal of this paper is to accurately describe the metastable dynamics of the solutions to the hyperbolic relaxation of the Cahn-Hilliard equation in a bounded interval of the re…
On a dissipative Gross-Pitaevskii-type model for exciton-polariton condensates
Paolo Antonelli, Peter Markowich, Ryan Obermeyer +2
We study a generalized dissipative Gross-Pitaevskii-type model arising in the description of exciton-polariton condensates. We derive global in-time existence results and various a…
Non-relativistic limit analysis of the Chandrasekhar-Thorne relativistic Euler equations with physical vacuum
Hai-Liang Li, La-Su Mai, Pierangelo Marcati
Our results provide a first step to make rigorous the formal analysis in terms of proposed by Chandrasekhar \cite{Chandra65b}, \cite{Chandra65a}, motivated by the m…
On the compactness of weak solutions to the Navier-Stokes-Korteweg equations for capillary fluids
Paolo Antonelli, Stefano Spirito
In this paper we consider the Navier-Stokes-Korteweg equations for a viscous compressible fluid with capillarity effects in three space dimensions. We prove compactness of finite e…
Splash singularities for a general Oldroyd model with finite Weissenberg number
Elena Di Iorio, Pierangelo Marcati, Stefano Spirito
In this paper we study a 2D Oldroyd free-boundary model which describes the evolution of a viscoelastic fluid. We prove existence of splash singularities, namely points where the b…
Stability properties and dynamics of solutions to viscous conservation laws with mean curvature operator
Raffaele Folino, Maurizio Garrione, Marta Strani
In this paper we study the long time dynamics of the solutions to the initial-boundary value problem for a scalar conservation law with a saturating nonlinear diffusion. After disc…