Workshop on Analysis and PDEs
Overview
Overview
The Workshop on Analysis and Partial Differential Equations (PDEs) aims to bring together specialists, early-career researchers and Ph.D. students to explore recent advances and challenges in the field. This event serves as a dynamic platform for knowledge exchange, fostering interactions across diverse research areas and promoting the development of innovative solutions to complex mathematical problems.
Participants will engage with a broad spectrum of topics, including well-posedness, stability, and qualitative properties of solutions to PDEs. The workshop will also highlight cutting-edge methods and techniques, from variational approaches and operator semigroups to nonlocal equations and interfacial fluid dynamics. Through lectures, discussions, and collaborative sessions, attendees will deepen their understanding of the analytical and computational aspects of PDEs and foster connections that can lead to future research collaborations.
Invited Speakers
- Stefano Almi, University of Naples Fedrico II
- Lucio Boccardo, Sapienza University of Rome
- Petra Csomós, ELTE Eötvös Loránd University
- Wolf-Patrick Düll, University of Stuttgart
- Viktoria Freingruber, Delft University of Technology
- Juri Joussen, University of Stuttgart
- David Ketcheson, KAUST
- King Ming Lam, Delft University of Technology
- Philippe Laurençot, Université Savoie
- Omar Lazar, New York University Abu Dhabi
- Peter Markowich, KAUST
- Nobuhito Miyake, Kyushu University
- Anastasia Molchanova, TU Wien
- Long Pei, Sun Yat-sen University
- Aelson Sobral, KAUST
- Guido Sweers, University of Cologne
- Rafayel Teymurazyan, KAUST
- Athanasios Tzavaras, KAUST
- Melih Ucer, KAUST
- Miguel Urbano, KAUST
- Riccardo Voso, University of Vienna
- Espen Xylander, University of Stuttgart
- Swati Yadav, IIT Bhilai
- Havva Yoldas, Delft University of Technology
Agenda
Monday, April 7, 2025
| Time | Speaker | Session/Talk Title |
|---|---|---|
| 9:30-10:10 | Miguel Urbano | Improved moduli of continuity for the two-phase degenerate Stefan problem |
| 10:15-10:55 | Lucio Boccardo | General Dirichlet problems |
| 11:00-11:20 | Coffee Break | |
| 11:20-12:00 | Stefano Almi | Optimality Conditions for Mean-Field Multi-Label Systems |
| 12:05-12:45 | Riccardo Voso | Weighted Energy-Dissipation approach to gradient flows |
| 12:50-14:20 | Lunch Break | |
| 14:20-15:00 | Petra Csomós | Operator semigroups for epidemic modelling |
| 15:05-15:45 | Havva Yoldas | Deriving nonlocal diffusion equations from a nonlinear BGK-type kinetic equations |
| 15:50-16:20 | Coffee Break | |
| 16:20-17:00 | Viktoria Freingruber | Trait-structured chemotaxis: Exploring ligand-receptor dynamics and travelling wave properties in a Keller-Segel model |
Tuesday, April 8, 2025
| Time | Speaker | Session/Talk Title |
|---|---|---|
| 09:30-10:10 | Philippe Laurençot | A parabolic Hardy-Hénon equation with quasilinear degenerate diffusion |
| 10:15-10:55 | Omar Lazar | Global well-posedness for incompressible Fluid interfaces |
| 11:00-11:20 | Coffee Break | |
| 11:20-12:00 | Anastasia Molchanova | Linearization in Magnetoelasticity |
| 12:05-12:45 | Aelson Sobral | Cordes-Niremberg-type results for nonlocal equations with deforming kernels |
| 12:50-14:20 | Lunch Break | |
| 14:20-14:45 | Espen Xylander | A Variational View on Constitutive Laws in Parabolic Problems |
Wednesday, April 9, 2025
| Time | Speaker | Session/Talk Title |
|---|---|---|
| 09:30-10:10 | David Ketcheson | Homogenized models for water waves and gas dynamics with in a periodically-varying background |
| 10:15-10:55 | Nobuhito Miyake | Initial traces and solvability of porous medium equation with power nonlinearity |
| 11:00-11:20 | Coffee Break | |
| 11:20-12:00 | Long Pei | Properties of traveling wave solutions to nonlinear dispersive equations |
| 12:05-12:45 | Swati Yadav | Fractional Calculus and Partial Differential Equations |
| 12:50-14:20 | Lunch Break | |
| 14:20-15:00 | Wolf-Patrick Düll | The Validity of the Nonlinear Schrödinger Approximation for the Water Wave Problem and Other Quasilinear Dispersive Systems |
| 15:05-15:45 | Melih Ucer | Existence of Solutions to MFG Problems via Monotone Operators |
| 15:50-16:20 | Coffee Break | |
| 16:20-17:00 | Peter Markowich | On a Boltzmann type price formation model |
| 17:05-18:00 | Free discussion | |
Thursday, April 10, 2025
| Time | Speaker | Session/Talk Title |
|---|---|---|
| 09:30-10:10 | Guido Sweers | Classical solutions for higher order semilinear Dirichlet problems |
| 10:15-10:55 | Rafayel Teymurazyan | Obstacle problems with binary diffusion |
| 11:00-11:20 | Coffee Break | |
| 11:20-12:00 | Jouri Joussen | Two-Time Scale Dynamics of Solutions to a Rimming-Flow Equation |
| 12:05-12:45 | King Ming Lam | On the stability of stars: nonradial stability of self-similarly expanding Goldreich-Weber stars |
| 12:50-13:20 | Athanasios Tzavaras | Oscillations in hyperbolic-parabolic systems and homogenization in phase transistions |
| 13:25-17:00 | Lunch and free discussion | |
Inquiries
For inquiries, please contact hebatalla.mahmoud@kaust.edu.sa
Organizers
Professor Stefano Buccheri, University of Naples Federico II
Professor Katerina Nik, KAUST
