Venue Sala Seminari (Dip. Matematica). Abstract…
Categoria evento: Analysis Seminar
On the 1/H flow via p-Laplace approximation under Ricci lower bounds – Luciano Mari (Scuola Normale Superiore di Pisa)
In this talk, we consider the existence problem for weak solutions of the Inverse Mean Curvature Flow on a complete manifold with only a Ricci lower bound. Solutions either issue from a point or from the boundary of a relatively compact open set. To…
Dirac-harmonic maps and “supersymmetric” nonlinear sigma models – Ruijun Wu (Scuola Normale Superiore di Pisa)
In these models we deal with coupled pairs consisting of a map between manifolds and a spinorial field along this map. Originated from supersymmetric sigma models and supermanifold theory, they are recently analysed using the tools in nonlinear…
Finite Energy Weak Solutions of the Navier-Stokes-Korteweg equations. – Stefano Spirito (Univ. L’Aquila)
In this talk I will present some results concerning the analysis of finite energy weak solutions of the Navier-Stokes-Korteweg equations, which model the dynamic of a viscous compressible fluid with diffuse interface. A general theory of global…
Exponential PDE’s in high dimension – Pierpaolo Esposito (Università di Roma, Tor Vergata)
In dimension n elliptic PDE’s with an exponential non-linearity can have a critical behavior when the differential operator either involves derivatives of order >2 or is quasi-linear. Due to intrinsic invariances such PDE’s present a natural lack of…
On the Plateau-Douglas problem for the Willmore energy – Marco Pozzetta (Universita’ di Pisa)
In this talk we will introduce the Willmore energy of surfaces in the three-dimensional euclidean space, which is the surface integral of the squared mean curvature. For a smooth closed embedded planar curve, we will consider the minimization of the…
Minimization of the eigenvalues of the Dirichlet-Laplacian with a diameter constraint. – Ilaria Lucardesi (Institut Elie Cartan de Lorraine)
In this talk I present some recent results about the minimization of $\lambda_k$ under diameter constraint. After providing existence, attained at a constant width body, and optimality conditions in any dimension, I focus my attention on the…
A minimization approach to the wave equation on time-dependent domains. – Lucia De Luca (Università di Pisa)
We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of…
Analysis of Novel Domain Wall Types in Ferromagnetic Nanostructures – Cyrill Muratov
Recent advances in nanofabrication allow an unprecedented degree of control of ferromagnetic materials down to the atomic scale, resulting in novel nanostructures whose properties are often dominated by material interfaces. Mathematically, these…
A nonlocal isoperimetric problem with dipolar repulsion – Simon Thilo
We study a functional in which perimeter and regularized dipolar repulsion compete under a volume constraint. In contrast to previously studied similar problems, the nonlocal term contributes to the perimeter term to leading order for small…