ANNULLATO Ginzburg–Landau type functionals provide a relaxation scheme to construct harmonic maps in the presence of topological obstructions. They arise in superconductivity models, in liquid crystal...
ANNULLATO In the talk I present some recent results concerning the existence and regularity of traveling waves for degenerate parabolic equations, i.e., with possibly vanishing diffusivities. Also the...
In this talk we consider the pressureless Euler system in dimension greater than or equal to two. Several works have been devoted to the search of solutions which satisfy the following adhesion or sti...
Given d ≥ 1, T > 0 and a vector field b: [0,T] × R^d → R^d , we study the problem of uniqueness of weak solutions to the associated transport equation ∂_t u + b·∇u = 0 where u: [0,T]×R^d → R is an ...
ANNULLATO It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent. In this work, we are devoted to showing the conj...
In this talk we present Hölder regularity estimates for an Hamilton-Jacobi with fractional time derivative of order α ∈(0,1) cast by a Caputo derivative. The Hölder seminorms are independent of time, ...
In this talk I will discuss how to find and compute the eigenvalues of Dirac operators in their spectral gaps. In order to do so in an optimal way, the delicate study of the domains of critical Dirac ...
I will give a general overview of the main results concerning existence and qualitative properties of solutions to a family of semilinear elliptic problems involving critical Moser-Trudinger type non-...
This talk will consider several examples of large-scale random systems, such as particles systems with conservation laws, systems of random walks with mutual or self-interaction, the dimer model in Z^...
