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7 papers · 2 filters
Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows
Antonio Segatti, Hao Wu
We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order…
Measure valued solutions of sub-linear diffusion equations with a drift term
S. Fornaro, S. Lisini, G. Savare' +1
In this paper we study nonnegative, measure valued solutions of the initial value problem for one-dimensional drift-diffusion equations when the nonlinear diffusion is governed by…
Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations
Giulio Schimperna, Sergey Zelik
A nonlinear parabolic equation of the fourth order is analyzed. The equation is characterized by a mobility coefficient that degenerates at 0. Existence of at least one weak soluti…
Self-similarity and power-like tails in nonconservative kinetic models
L. Pareschi, G. Toscani
In this paper, we discuss the large--time behavior of solution of a simple kinetic model of Boltzmann--Maxwell type, such that the temperature is time decreasing and/or time increa…
A temperature-dependent phase segregation problem of the Allen-Cahn type
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
In this paper we prove a local-in-time existence theorem for an initial-boundary value problem related to a model of temperature-dependent phase segregation that generalizes the st…
Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility
Maurizio Grasselli, Alain Miranville, Riccarda Rossi +1
The aim of this paper is to study the well-posedness and the existence of global attractors for a family of Cahn-Hilliard equations with a mobility depending on the chemical potent…