2023
Professor Jose Carrillo, University of Oxford, UK
January 8th - January 19th
2022
Professor Sir John Ball, Heriot-Watt University, Edinburgh, UK
December
Professor Manoussos Grillakis, University of Maryland in College Park
November 15th - December 15th
Prof. Manoussos Grillakis, Department of Mathematics, University of Maryland in College Park.
Wednesday, December 07, 2022, 15:30
- 17:00
Building 1, Level 3, Room 3119
A Bose gas at zero temperature is described by a mean field which satisfies the cubic nonlinear Schr¨odinger equation (NLS) otherwise known as the Gross- Pitaevski equation. The mean field describes the evolution of the condensate in an average sense. I will describe a technique that introduces pair correlations in the evolution of the condensate. The resulting approximation tracks the evolu- tion of the condensate in norm provided that the pair wave-function satisfies an interesting system of coupled NLS equations. I will discuss the nonlinear struc- ture of the NLS system as well as a novel approach to the question of global existence of solutions of the system.
Professor Hailiang Liu, Iowa State University, USA
May
2020
Professor Stefano Spirito, University of L'Aquila, Italy
February 1st - February 15th
Stefano Spirito, Assistant Professor, Department of Mathematics, University of L’Aquila, Italy
Tuesday, February 11, 2020, 15:00
- 16:00
Building 1, Level 3, Room 3119
Contact Person
In this talk we consider the Cauchy problem for the 2D Euler equations for incompressible inviscid fluids. It is well-known that given a smooth initial datum, the Cauchy problem is well-posed and in particular the energy is conserved and the vorticity is transported by the flow of the velocity. When we consider weak solutions this might not be the case anymore. We will review some recent results obtained in collaboration with Gianluca Crippa and Gennaro Ciampa where we extend those properties to the case of irregular vorticities. In particular, under low integrability assumptions on the vorticity we show that certain approximations important from a physical and a numerical point of view converge to solutions satisfying those properties.
Professor Dimitrios Mitsotakis, Victoria University of Wellington, New Zealand
January 3rd - February 29th
Dimitrios Mitsotakis, Senior Lecturer, School of Mathematics and Statistic Victoria University of Wellington, New Zealand
Wednesday, February 05, 2020, 16:00
- 17:00
Building 1, Level 4, Room 4214
Contact Person
In this talk we present the derivation of a new Boussinesq-type system to describe the propagation of long waves of small amplitude in a basin with mildly varying bottom topography. We prove the existence and uniqueness of weak solutions for maximal times that do not depend on the amplitude of the waves. We then present the numerical solution of the new system using Galerkin finite element methods and prove the convergence of the semidiscrete solution to the exact solution. The system appears to describe well water waves even in benchmark experiments that involve also general bathymetries.
2019
Professor Jan Giesselman, Technical University of Darmstadt, Germany
April 1st - April 11th
Prof. Jan Giesselmann, Technical University of Darmstadt, Germany
Tuesday, April 02, 2019, 16:00
- 17:00
B1 L3 Room 3119
Contact Person
In this course we consider multi-phase flows, i.e., flows of one substance which is present as liquid as well as vapor. We focus on models that resolve individual bubbles/droplets and that treat both phases as compressible. We will also discuss incompressible/low Mach limits, since in most applications the liquid is nearly incompressible. Understanding and simulating such small-scale models is important in order to obtain information which can be used in larger scale models for e.g. sprays which play important roles in processes of practical interest as diverse as combustion, chemical engineering, and cloud formation
Dr. Suleyman Ulusoy, American University of Ras Al Khaimah, UAE
March 17th - March 22nd
Dr. Suleyman Ulusoy, American University of Ras Al Khaimah, UAE
Wednesday, March 20, 2019, 16:00
- 17:00
Building 1, Level 3, Room 3119
Contact Person
In the first part of the talk we investigate a Keller-Segel model with quorum sensing and a fractional diffusion operator. This model describes the collective cell movement due to chemical sensing with flux limitation for high cell densities and with anomalous media represented by a nonlinear, degenerate fractional diffusion operator. The purpose here is to introduce and prove the existence of a properly defined entropy solution. In the second part of the talk we will analyze an equation that is gradient flow of a functional related to Hardy-Littlewood-Sobolev inequality in whole Euclidean space of higher dimensions.
Professor Dimitrios Mitsotakis, Victoria University of Wellington, New Zealand
January 26th - March 2nd
Dimitrios Mitsotakis, Victoria Univ. Wellington New Zealand
Sunday, February 10, 2019, 16:00
- 17:30
Building 1, Level 3, Room 3119
Contact Person
Abstract : The mathematical modelling of water waves continues to attract great interest bo