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Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces
(2011-12-31)
We study an initial boundary value problem of a model describing the evolution in time of diffusive phase interfaces in solid materials, in which martensitic phase transformations driven by configurational forces take ...
Observability of heat processes by transmutation without geometric restrictions
(2011-12-31)
The goal of this note is to explain how transmutation techniques (originally introduced in [14] in the context of the control of the heat equation, inspired on the classical Kannai transform, and recently revisited in [4] ...
Fine structure of spectral properties for random correlation matrices: An application to financial markets
Livan, G.; Alfarano, S.; Scalas, E.
(2011-12-31)
(2011-12-31)
We study some properties of eigenvalue spectra of financial correlation matrices. In particular, we investigate the nature of the large eigenvalue bulks which are observed empirically, and which have often been regarded ...
Hardy inequality and Pohozaev identity for operators with boundary singularities: Some applications
(2011-12-31)
We consider the Schrödinger operator Aλ:=-δ-λ/|x|2, λ∈R, when the singularity is located on the boundary of a smooth domain Ω⊂RN, N≥1.The aim of this Note is two folded. Firstly, we justify the extension of the classical ...
On the regularity of null-controls of the linear 1-d heat equation [Sur la regularité des contrôles pour l'équation de la chaleur linéaire]
(2011-12-31)
The 1-d heat equation in a bounded interval is null-controllable from the boundary. More precisely, for each initial data y0εL2(0,1) there corresponds a unique boundary control of minimal L2(0,T)-norm which drives the state ...
Semi-markov graph dynamics
Raberto, M.; Rapallo, F.; Scalas, E. (2011-12-31)
(2011-12-31)
In this paper, we outline a model of graph (or network) dynamics based on two ingredients. The first ingredient is a Markov chain on the space of possible graphs. The second ingredient is a semi-Markov counting process of ...
On a nonlocal moving frame approximation of traveling waves
(2011-12-31)
The profiles of traveling wave solutions of a 1-d reaction-diffusion parabolic equation are transformed into equilibria of a nonlocal equation, by means of an appropriate nonlocal change of variables. In this new formulation ...
Nematic elastomers: Gamma-limits for large bodies and small particles
(2011-12-31)
We compute the large-body and the small-particle Gamma-limit of a family of energies for nematic elastomers. We work under the assumption of small deformations (linearized kinematics) and consider both compressible and ...
Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces
(2011-12-31)
This paper is dedicated to the study of viscous compressible barotropic fluids in dimension N≥2. We address the question of well-posedness for large data having critical Besov regularity. Our result improves the analysis ...
Incompressible limit of the non-isentropic Navier-Stokes equations with well-prepared initial data in three-dimensional bounded domains
(2011-12-31)
This paper studies the incompressible limit of the non-isentropic Navier-Stokes equations for viscous polytropic flows with zero thermal coefficient in three-dimensional bounded C4-domains. The uniform estimates in the ...