Events
Nonlinear Analysis Seminar
- Events
- Nonlinear Analysis Seminar
Nonlinear Analysis Seminar and Differential Equation Seminar: : Benjamin Seeger, University of Texas at Austin, Weak solutions of nonlinear, nonconservative transport systems
SAS 4201I will discuss certain systems of transport type whose coefficients depend nonlinearly on the solution. Applications of such systems range from the modeling of pressure-less gases to the study of…
Nonlinear Analysis Seminar and Differential Equation Seminar: Nicolás García Trillos, University of Wisconsin Madison
SAS 4201Despite the success of deep learning-based algorithms, it is widely known that neural networks may fail to be robust to adversarial perturbations of data. In response to this, a popular…
Nonlinear Analysis Seminar and Differential Equation Seminar: Thierry Champion, University of Toulon, France,Relaxed multi-marginal costs in optimal transport and quantization effects
ZoomIn this talk, I shall present a relaxation formula and duality theory for the multi-marginal Coulomb cost that appears in optimal transport problems arising in Density Functional Theory. The related…
Nonlinear Analysis Seminar and Differential Equation Seminar: Russell Luke, Universität Göttingen, Inconsistent Nonconvex Feasibility – Foundations and Application to Orbital Tomography
ZoomFeasibility models are a powerful approach to many real-world problems where simply finding a point that comes close enough to meeting many, sometimes contradictory demands is enough. In this talk…
Nonlinear Analysis Seminar and Differential Equation Seminar: Ming Chen, University of Pittsburgh, Global bifurcation for hollow vortex desingularization
ZoomA hollow vortex is a region of constant pressure bounded by a vortex sheet and suspended inside a perfect fluid; we can think of it as a spinning bubble of…
Nonlinear Analysis Seminar and Differential Equation Seminar: Hakima Bessaih, FIU, Various numerical scheme for stochastic hydrodynamic models
ZoomWe will consider various models in hydrodynamic, including the 2d Navier-Stokes, Boussinesq equations, and a Brinkman-Forchheimer-Navier-Stokes equations in 3d. These models are driven by an external stochastic Brownian perturbation. We…
Nonlinear Analysis Seminar and Differential Equation Seminar: Edouard Pauwels, Université de Toulouse, Nonsmooth differentiation of parametric fixed points
ZoomRecent developments in the practice of numerical programming require optimization problems not only to be solved numerically, but also to be differentiated. This allows to integrate the computational operation of…
Computational and Applied Mathematics – Differential Equations/Nonlinear Analysis Seminar: Alexey Miroshnikov, Discover Financial Services, Stability theory of game-theoretic group feature explanations for machine learning models.
SAS 4201In this article, we study feature attributions of Machine Learning (ML) models originating from linear game values and coalitional values defined as operators on appropriate functional spaces. The main focus…
Nonlinear Analysis Seminar and Differential Equation Seminar: Wojciech Ozanski, FSU, Logarithmic spiral vortex sheets
ZoomWe will discuss a special family of 2D incompressible inviscid fluid flows in the form of logarithmic spiral vortex sheets. Such flows are determined by a vorticity distribution of a curve R^2,…
Nonlinear Analysis Seminar and Differential Equation Seminar: Hung Tran, University of Wisconsin Madison, Periodic homogenization of Hamilton-Jacobi equations: some recent progress
ZoomI first give a quick introduction to front propagations, Hamilton-Jacobi equations, level-set forced mean curvature flows, and homogenization theory. I will then show the optimal rates of convergence for homogenization of…
Nonlinear Analysis Seminar and Differential Equation Seminar: Jameson Graber, Baylor University, The Master Equation in Mean Field Game Theory
ZoomMean field game theory was developed to analyze Nash games with large numbers of players in the continuum limit. The master equation, which can be seen as the limit of an…
Nonlinear Analysis Seminar and Differential Equation Seminar: Olivier Glass, Université Paris-Dauphine, Small solids in Euler flows
SAS 4201In this talk, I will discuss the evolution of rigid bodies in a perfect incompressible fluid, and the limit systems that can be obtained as the bodies shrink to points. The…
Nonlinear Analysis Seminar and Differential Equation Seminar: Aris Daniilidis, TU Wien, Slope determination: from convex to Lipschitz continuous functions
ZoomA convex continuous function can be determined, up to a constant, by its remoteness (distance of the subdifferential to zero). Based on this result, we discuss possible extensions in three…
Differential Equations/Nonlinear Analysis Seminar: TBA
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