Research Seminar Program (RSP) - UC|UP Joint PhD Program in Mathematics
 
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Description:

PROGRAMME:

 

14h00 - 14h30

Luigi Forcella

The electrostatic limit for the Zakharov system

 

Abstract: The Zakharov system describes the coupled dynamics of the electric field amplitude and the low frequency fluctuation of the ions in a unmagnetized or weakly magnetized plasma. This system couples Schrödinger-like and wave equations and in its physical derivation depends on a parameter $\alpha.$ Large value of $\alpha$ describes a plasma that is very hot, so it is meaningful to study the limit for the solutions to this system as $\alpha$ goes to infinity. In this talk we give rigorous mathematical result in this direction.

 

14h30 - 15h00

Luigia Ripani

Analogies between optimal transport and minimal entropy

 

Abstract: The Schrödinger problem is an entropic minimization problem and it's a regular approximation of the Monge-Kantorovich problem, at the core of the Optimal Transport theory.

In this talk I will first introduce the two problems, then I will describe some analogy between optimal transport and the Schrödinger problem such as a dual Kantorovich type formulation, the dynamical Benamou-Brenier type representation formula, as well as a characterization formula and some properties of the respective solutions.

Finally I will mention, as an application of these analogies, some contraction inequalities with respect to the entropic cost, instead of the classical Wasserstein distance.

 


Luigi Forcella is a PhD student at Scuola Normale Superiore di Pisa, Italy and working in the area of "Analysis" under the supervision of Prof. Luigi Ambrosio.

 

Luigia Ripani is a PhD student at Institut Camille Jordan - Université Claude Bernard Lyon 1, France and working in the area of "PDE, Analysis" under the supervision of Prof. Ivan Gentil and Prof. Christian Léonard.

 

Place:   Room M031, DMat of University of Porto
URL:  https://sites.google.com/view/rspucupphdmath20152016/p%C3%A1gina-inicial
Start Date:   2015-11-19
Start Time:   14:00
See more:   <Main>   <Research Seminar Program - UC|UP MATH PhD Program>  
 
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