Wepresentrecentnumericalapproachesdedicatedtotheidentification ofoptimalpartitionsassociatedtogeometricalcosts.Wefocusour presentationon2Dsurfacesandfull3Dproblems.…
Categoria evento: Seminars
Minimal Elastic Networks – Alessandra Pluda
In this talk we will consider planar networks of three curves minimizing a combination of the elastic energy and the length functional. We will prove existence and regularity of minimizers and we will show some properties of the minimal…
Equivariant hyperbolization and applications – Danny Ruberman (Brandeis University)
Given a closed 3-manifold Y with the action of a finite group G, we show how to find a closely related hyperbolic G-manifold Y’. The two manifolds are related by an invertible equivariant homology cobordism; a cobordism from Y to Y’ is invertible if…
Functions of fractal bounded variation – Roger Züst
In this talk we introduce a notion of functions of fractal bounded variation. Here, the sup-norm of test functions as used in the classical definition is replaced by the Hoelder norm with respect to some exponent. Characteristic functions of domains…
Asymptotic planar N-bubble – Giacomo Del Nin (Universita’ di Pisa)
We consider in the plane a fixed finite number N of “bubbles”, that is disjoint finite perimeter sets which possibly share portions of their boundaries, and look for configurations that minimize, under a volume constraint, the total weighted length…
On the fractal geometry of the Lagrange and Markov spectra. – Carlos Matheus (Paris XIII)
After the remarkable works of Markov in 1879 and 1880, the Lagrange and Markov spectra (coding arithmetic properties of irrational numbers and indefinite binary quadratic forms) were studied by several authors (including Perron, Hall, Freiman,…
On mixing rates for time-changes of Heisenberg nilflows – Giovanni Forni (University of Maryland)
We construct Bufetov functionals for nilpotent flows on (compact) Heisenberg nilmanifolds. Such functionals were first constructed by Bufetov for Interval Exchange Transformations and Translation flows, and later for horocycle flows by Bufetov and…
Branched transportation: stability and new models. – Andrea Marchese (University of Zurich)
Models involving branched structures are employed to describe several supply-demand systems such as the structure of the nerves of a leaf, the system of roots of a tree, or the nervous and the cardiovascular systems. Given a flow that transports a…
A Hele-Shaw tumor growth model as a gradient flow. – Simone Di Marino (Scuola Normale Superiore)
In 2014 Perthame, Quiroz and Vasquez unite two types of modeling of tumor growth into a unique framework of reaction-diffusion type where the diffusive term is $\Delta p(\rho)$ and $p(\rho)=\rho^m$. The stiff limit $m \to \infty$ is in particular a…
Optimal Interpolation Formulas in W_2^{(m,m-1)} space – Samandar Babaev (Bukhara State University, Uzbekistan)
In this talk, using S.L.Sobolev’s method, optimal interpolationformulas are constructed in W_{2} ^(m,m−1)(0,1) space. Explicit formulas for coefficients of optimal interpolation formulas are obtained. Some numerical results arepresented.…