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- Istituto di Fotonica e NanotecnologieIT287 papers
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6 papers · 2 filters
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
We consider the Fast Diffusion Equation posed in a bounded smooth domain $Ω\subset \RR^d$ with homogeneous Dirichlet conditions; the exponent range is $m_s=(d-2)_+/(d+2)…
On the constants in a Kato inequality for the Euler and Navier-Stokes equations
Carlo Morosi, Livio Pizzocchero
We continue an analysis, started in [10], of some issues related to the incompressible Euler or Navier-Stokes (NS) equations on a d-dimensional torus T^d. More specifically, we con…
Existence and nonexistence of entire solutions for non-cooperative cubic elliptic systems
Hugo Tavares, Susanna Terracini, Gianmaria Verzini +1
In this paper we deal with the cubic Schrödinger system , in , where is a s…
On the constants in a basic inequality for the Euler and Navier-Stokes equations
Carlo Morosi, Livio Pizzocchero
We consider the incompressible Euler or Navier-Stokes (NS) equations on a d-dimensional torus T^d; the quadratic term in these equations arises from the bilinear map sending two ve…
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…
Global minimizers of coexistence for competing species
Monica Conti, Veronica Felli
A class of variational models describing ecological systems of k species competing for the same resources is investigated. The occurrence of coexistence in minimal energy solutions…