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Analysis Students Kernel
University of Bologna - Department of Mathematics
A cycle of seminars and activities for young Analysis researchers
Next seminars
Next seminars
Seminars will take place in Bologna approximately every other tuesday at 5 PM
The zero capillarity limit for the Euler-Korteweg system with no-flux boundary conditions
The zero capillarity limit for the Euler-Korteweg system with no-flux boundary conditions
Yuri Cacchiò, Gran Sasso Science Institute
https://www.researchgate.net/profile/Yuri-Cacchio-2
November 26th, 2025.
Time: 5 PM
Where: Seminario 1 (Dip. Mat. UNIBO)
Abstract: In this article, we study the small dispersion limit of the Euler-Korteweg system in a bounded domain with no-flux boundary conditions. We exploit a relative entropy approach to study the convergence of finite energy weak solutions towards strong solutions to the compressible Euler system. Since we consider non-trivial boundary conditions, our approach needs a correction for the limiting particle density, due to the appearance of a (weak) boundary layer. We believe this approach can be adapted to study similar singular limits involving non-trivial boundary conditions. This is based on a joint work with Paolo Antonelli (GSSI)
TBA
TBA
Serena Federico, Alma Mater Università di Bologna
https://sites.google.com/site/serenafederico3/
Dicember 9th, 2025.
Time: 5 PM
Where: Seminario 1 (Dip. Mat. UNIBO)
Abstract: TBA
TBA
TBA
Gabriele Giannone, University of Florence
https://www.researchgate.net/profile/Gabriele-Giannone-2
Dicember 16th, 2025.
Time: 5 PM
Where: Seminario 1 (Dip. Mat. UNIBO)
Abstract: TBA
Qualitative analysis of solutions to doubly critical Hardy-Sobolev p-Laplace systems
Qualitative analysis of solutions to doubly critical Hardy-Sobolev p-Laplace systems
Laura Baldelli, Karlsruhe Institute of Technology (KIT)
https://laurabaldelli.mobirisesite.com/
Dicember 18th, 2025.
Time: 3 PM
Where: Seminario 1 (Dip. Mat. UNIBO)
Abstract: This talk focuses on a family of Hardy-Sobolev doubly critical p-Laplace systems defined on the whole Euclidean space. A key tool in our analysis is the moving plane method, which will serve as our starting point. We will outline the origins of this method, explain its main features, and discuss the current state of the art in the context of more general problems, culminating in the system under consideration. Particular attention will be paid to how the nonlinear nature of the operator, the presence of Hardy’s potential, and the coupled structure of the system make the application of the method highly nontrivial.
TBA
TBA
Francesca De Giovanni, University of Naples Federico II
https://www.researchgate.net/profile/Francesca-De-Giovanni-2
February 24th, 2025.
Time: 5 PM
Where: Seminario 1 (Dip. Mat. UNIBO)
Abstract: TBA
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