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Autumn Semester 2023

Date / Time Speaker Title Location
28 September 2023
16:15-18:00		 Jaemin Park
University of Basel
Event Details

PDE and Mathematical Physics

Title Small scale creation for the 2D Boussinesq Equations
Speaker, Affiliation Jaemin Park,University of Basel
Date, Time 28 September 2023, 16:15-18:00
Location HG G 19.2
Abstract In this presentation, we will examine the long-term behaviors of the two- imensional incompressible Boussinesq equations without thermal diffusion. While the Boussinesq equations exhibit energy conservation, the flow's small-scale creation may induce the growth of finer norms in the solutions over time. During this talk, we will construct smooth initial data to demonstrate such norm growth phenomena, both with and without considering kinematic viscosity. Additionally, we will extend our results to provide an example of temperature patch solutions, the curvature and perimeter of which increase as time progresses. This work is a joint work with A. Kiselev and Y. Yao.
Small scale creation for the 2D Boussinesq Equationsread_more
HG G 19.2
19 October 2023
16:15-18:00		 Dr. Lucas Ertzbischoff
Imperial College
Event Details

PDE and Mathematical Physics

Title On thick spray equations
Speaker, Affiliation Dr. Lucas Ertzbischoff,Imperial College
Date, Time 19 October 2023, 16:15-18:00
Location HG G 19.2
Abstract We consider a coupled system between kinetic and fluid equations, describing a cloud of particles immersed within a gas. In the "thick spray" regime, the volume fraction for the particles is not negligible compared to that of the fluid: it raises many difficulties for the study of such system, which seems to present losses of derivatives. In particular, and contrary to some other fluid-kinetic couplings, its mathematical study has almost remained absent. I will review some recent progress on thick spray equations, and show that one can actually build a Cauchy theory in Sobolev regularity (at least for a compressible viscous fluid) when the initial data satisfies a Penrose type stability condition (being in fact necessary and sufficient for well-posedness). This is based on joint works with Aymeric Baradat (CNRS, Université Lyon 1) and Daniel Han-Kwan (CNRS, Nantes Université).
On thick spray equationsread_more
HG G 19.2
26 October 2023
16:15-18:00		 Dr. Michele Dolce
EPFL
Event Details

PDE and Mathematical Physics

Title Title T.B.A.
Speaker, Affiliation Dr. Michele Dolce,EPFL
Date, Time 26 October 2023, 16:15-18:00
Location HG G 19.2
Title T.B.A.
HG G 19.2
9 November 2023
16:15-18:00		 Dr. David Mitrouskas
University Stuttgart
Event Details

PDE and Mathematical Physics

Title Title T.B.A.
Speaker, Affiliation Dr. David Mitrouskas,University Stuttgart
Date, Time 9 November 2023, 16:15-18:00
Location HG G 19.2
Title T.B.A.
HG G 19.2
23 November 2023
16:15-18:00		 Prof. Dr. Antti Knowles
Section of Mathematics, University of Geneva
Event Details

PDE and Mathematical Physics

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Antti Knowles,Section of Mathematics, University of Geneva
Date, Time 23 November 2023, 16:15-18:00
Location HG G 19.2
Title T.B.A.
HG G 19.2
30 November 2023
16:15-18:00		 Prof. Dr. Georgios Moschidis
EPFL
Event Details

PDE and Mathematical Physics

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Georgios Moschidis,EPFL
Date, Time 30 November 2023, 16:15-18:00
Location HG G 19.2
Title T.B.A.
HG G 19.2

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