Nähere Infos zu unserer Seminarreihe Analysis-Seminar Augsburg München

Workshop on Nonlinear Analysis am 25./26.07.2025

Organizers: Dirk Blömker / Bernd Schmidt

Location: Institut für Mathematik, L1/2004

 

 

Friday, 25.07.:

 

14:10 - 14:50: Julian Braun

 

Titel: Incompleteness of the Sinclair expansion for the elastic field around the crack tip in atomistic fracture models

Abstract: The elastic field around a crack opening is known to be described by continuum linearised elasticity in leading order. In this talk, I will present the next term in a rigorous atomistic asymptotic expansion in the case of a Mode III crack in anti-plane geometry. The aim of such an expansion is twofold. First, it shows that the well-known flexible boundary condition expansion due to Sinclair is incomplete, meaning that, in principle, employing it in atomistic fracture simulations is no better than using boundary conditions from continuum linearised elasticity. And secondly, the higher order far-field expansion can be employed as a boundary condition for high-accuracy atomistic simulations.

 

14:50 - 15:30: Matthias Ruf

 

Titel: An introduction to stochastic homogenization

 

Abstract: We explain the basics for stochastic homogenization of integral functionals defined on Sobolev spaces. In particular, we introduce the notion of stationary, ergodic integrands and motivate the multi-cell formula.

 

15:30 - 16:10: Manuel Friedrich

 

Title: The double-bubble problem for the l1-norm

 

Abstract: We investigate the optimal arrangements of two sets of given volume which are minimizing the double-bubble interaction functional. The latter features a competition between the minimization of the perimeters of the two sets and the maximization of their interface. In dimension two, we investigate the problem in its full generality for sets of finite perimeter, by considering the whole range of possible interaction intensities and all relative volumes of the two sets. We also provide some results in dimension three.

 

16:10 - 16:40: Coffee Break

 

16:40 - 17:20: Chengcheng Ling

 

Title: Rough linear parabolic partial differential equations-Young case

 

Abstract: Under some mild regularity condition, we show that there exists a unique solution to rough linear parabolic partial differential equation which is the corresponding Kolmogorov equation of a rough stochastic differential equations in Young regime.

 

17:20 - 18:00: Mario Santilli

 

Title: Varifolds whose first variation with respect to an anisotropic elliptic integrand is controlled

 

Abstract: In the first part of this talk I will present some results about the rectifiability and regularity of the support of a codimension 1 varifold whose first variation with respect to a uniformly elliptic integrand is controlled. In the second, I give an overview on an ongoing project about the uniqueness of critical points of the isoperimetric problem with respect to general norms. Part of the results are joint work with Slawomir Kolasinski

 

 

Saturday, 26.07.:

Morning: Individual Scientific Discussions

 

Afternoon: Social Event

 

 

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Workshop on Nonlinear and Stochastic Analysis" am 19./20.07.2024

 

Organisatoren: Dirk Blömker / Bernd Schmidt

 

 

Freitag, 19.07.:

 

Martin Jesenko: 14:00 - 14:30

Gamma-convergence of a discrete Kirchhoff rod energy

 

Johannes Rimmele: 14:35 - 15:05

Stabilization by rough noise for an epitaxial growth model

 

Thomas Ruf: 15:10 - 15:40

On the weak well-posedness of convex minimization problems in general

Banach spaces

 

15:45 - 16:30 coffee break

 

Mario Santilli: 16:30 - 17:00

Soap bubble theorems for W^{2,n}-hypersurfaces

 

Jiří Zeman: 17:05 - 17:35

Towards an Enhancement of the Poisson–Boltzmann Equation by

Machine-Learnt Molecular Structure

 

 

Samstag, 20.07.:

 

Vormittag:

Individuelle wissenschaftliche Diskussionen

 

Nachmittag:

Social Event

 

 

 

 

 

 

 

Workshop on Nonlinear and Stochastic Analysis" vom 16.09. - 17.09.2022

 

 

Day 1, 16.09.2022:

 

09:30-10:30 Luigi Bianchi:

Dyadic models of turbulence between Analysis and Probability

 

10:30-11:00 coffee break

 

11:00-11:30 David Buchberger:

Convergence of atomistic equilibria of thin elastic plates - The von Kármán Case

 

11:30-12:00 Johannes Rimmele:

Stabilization by rough noise for an epitaxial thin-film growth model

 

12:00-13:30 lunch break

 

13:30-14:30 Mario Santilli:

A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions

 

14:30-15:30 Philipp Wacker:

Maximum-a-posteriori estimators for infinite-dimensional Bayesian inversion

 

15:30-16:00 coffee break

 

16:00-16:30 Jiří Zeman:

Continuum models for elastic and brittle nanowires derived from an atomistic description by Gamma-convergence

 

16:30-17:30 Martin Jesenko:

Linearization and Computation for Large-Strain Viscoelasticity

 

 

Day 2, 17.09.2022:

 

09:30-10:30 Shenglan Yuan:

Qualitative analysis of the high-order nonlinear Kortewegde-Vries equation using dynamic renormalization approach

 

10:30-11:00 Thomas Ruf:

Vector valued generalized Orlicz spaces with an application to chain rules for nonsmooth functions

 

11:00-11:30 Pascal Schoppe:

A continuum Limit Approach to (non-)linear Stochastic Wave Equations