January 3 - April 26, 2019
Organizers: László Székelyhidi, Georg Weiss
Description: Interfaces arising as phase boundaries are ubiquitous in nature and are a rich source of mathematical problems. A major challenge is presented by the formation of singularities and in this respect phase-field approximations have played a key role in identifying selection principles and obtaining a well-defined evolution past singularities in the sharp interface limit. The purpose of the trimester program is to explore such problems, building on recent progress in higher co-dimensional minimal surface theory, the analysis of singularities in free boundary problems and on the discovery of h-principle phenomena induced by fluid instabilities.
Associated Events:
- Winter School on Interfaces in Geometry and Fluids (January 7-11)
- Workshop on Geometric Measure Theory and Free Boundary Problems (February 11-15)
- Workshop on Interfaces and Instabilities in Fluid Dynamics (March 18-21)
© HIM
No. |
Author(s) |
Title |
Preprint |
Publication |
| 2019a01 | Blesgen, T.; Amendola, A.; Fraternali, F. | On a modified Becker-Doering model for two-phase materials | 1904.00452 | Continuum Mech. Thermodyn. 32 (2020), 901–912, https://doi.org/10.1007/s00161-019-00774-2 |
| 2019a02 | Bozorgnia, F.; Lewintan, P. | Decay estimate for the solution of the evolutionary damped p-Laplace equation | 1905.03597 | Electron. J. Differential Equations 73 (2021), 1-9, https://doi.org/10.58997/ejde.2021.73 |
| 2019a03 | Blesgen, T.; Amendola, A.; Fraternali, F. | On a modified Becker–Döring model for two-phase materials | 1904.00452 |
Continuum Mech. Thermodyn. 32 (2020), 901–912, https://doi.org/10.1007/s00161-019-00774-2 |
| 2019a04 | Blesgen, T.; Amendola, A. | Mathematical analysis of a solution method for finite-strain holonomic plasticity of Cosserat materials | Meccanica 55 (2020), 621–636, https://doi.org/10.1007/s11012-019-01006-2 | |
| 2019a05 | Cao, W.; Székelyhidi, L. | Global Nash-Kuiper theorem for compact manifolds | 1906.08608 | J. Differential Geom. 122(1) (2022), 35-68, https://doi.org/10.4310/jdg/1668186787 |
| 2019a06 | Faraco, D.l; Lindberg, S.; Székelyhidi, L. | Bounded solutions of ideal MHD with compact support in space-time | 1909.08678 | Arch Rational Mech Anal 239 (2021), 51–93, https://doi.org/10.1007/s00205-020-01570-y |
| 2019a07 | Noisette, F.; Székelyhidi, L. | Mixing solutions for the Muskat problem with variable speed | 2005.08814 | J. Evol. Equ. 21 (2021), 3289–3312, https://doi.org/10.1007/s00028-020-00655-1 |
| 2019a08 | Mengual, F.; Székelyhidi, L. | Dissipative Euler flows for vortex sheet initial data without distinguished sign | 2005.08333 | Communications on Pure and Applied Mathematics 76(1) (2022), https://doi.org/10.1002/cpa.22038 |
| 2019a09 | Fischer, J.; Hensel, S.; Laux, T.; Simon, T. | The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions | 2003.05478 | to appear in Journal of the European Mathematical Society |
| 2019a10 | Eberle, S.; Shahgholian, H.; Weiss, G. | On global solutions of the obstacle problem | 2005.04915 |
Duke Math. J. 172(11) (2023), 2149-2193, https://doi.org/10.1215/00127094-2022-0078 |
| 2019a11 | Eberle, S.; Weiss, G. | Characterizing compact coincidence sets in the obstacle problem - a short proof | 2005.10490 | St. Petersburg Math. J. 32 (2021), 705-711, https://doi.org/10.1090/spmj/1665 |
| 2019a12 | Modena, S. | On some recent results concerning non-uniqueness for the transport equation | 1903.04962 | Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the 17th international conference on Hyperbolic Problems, AIMS 10 (2020), 562-568 |
| 2019a13 | Gkikas, K.; Nguyen, P.-T. | Green kernel and Martin kernel of Schrödinger operators with singular potential and application to the B.V.P. for linear elliptic equations | 2002.10754 | |
| 2019a14 | Fotouhi, M.; Shahgholian, H.; Weiss, G. | A free boundary problem for an elliptic system | Preprint | Journal of Differential Equations 284 (2021), 126-155, https://doi.org/10.1016/j.jde.2021.02.050 |
| 2019a15 | Krupa, S.G.; Székelyhidi Jr, L. | Nonexistence of T4 configurations for hyperbolic systems and the Liu entropy condition | 2211.14239 |
Name |
Affiliation |
| Giovanni Alberti | Università di Pisa |
| Gohar Aleksanyan | Universität Duisburg-Essen |
| Diego Alonso-Orán | Universität Bonn |
| John Andersson | Kungliga Tekniska Högskolan |
| Aymeric Baradat | École Polytechnique |
| Claude Bardos | Laboratoire JLL. Université Denis Diderot, |
| Michal Bathory | Charles University |
| Thomas Blesgen | TH Bingen |
| Farid Bozorgnia | Tecnico Lisboa |
| Stella Brassesco | Instituto Venezolano de Investigaciones Ceintificas |
| Yann Brenier | Ecole Normale Superieure |
| Jan Burczak | Universität Leipzig |
| Wentao Cao | Universität Leipzig |
| Victor Cañulef | ICMAT (Instituto de Ciencias Matemáticas) |
| Sagun Chanillo | Rutgers University |
| Diego Cordoba | Instituto de Ciencias Matemáticas (ICMAT) |
| Helge Dietert | Institut de Mathématiques de Jussieu - Paris Rive Gauche |
| Simon Eberle | Basque Center for Applied Mathematics (BCAM) |
| Daniel Faraco | Universidad Autonoma de Madrid |
| Julian Fischer | IST Austria |
| Morteza Fotouhi | Sharif University of Technology |
| Björn Gebhard | Universität Leipzig |
| Sebastian Hensel | Universität Bonn |
| Matthias Hieber | TU Darmstadt |
| Jonas Hirsch | Universität Leipzig |
| Yash Jhaveri | Institute for Advanced Study |
| Illia Karabash | the University of Bonn, Institute for Applied mathematics |
| Lami Kim | The Research Institute For Natural Sciences(Hanyang University) |
| József Kolumbán | Universität Leipzig |
| Aleksis Koski | University of Jyväskylä |
| Sam Krupa | The University of Texas at Austin |
| Peter Lewintan | University of Duisburg-Essen |
| Sauli Lindberg | University of Helsinki |
| Erik Lindgren | Uppsala University |
| Tomáš Los | Charles University |
| Stephan Luckhaus | Universität Leipzig |
| Josef Malek | Charles University |
| Michele Marini | Scuola Internazionale Superiore di Studi Avanzati SISSA |
| Francisco Mengual Bretón | Universidad Autónoma de Madrid |
| Andreas Minne | KTH Royal Institute of Technology |
| Stefano Modena | Universität Darmstadt |
| Phuoc-Tai Nguyen | Masaryk University |
| Florent Noisette | École normale supérieure ULM |
| Tania Pernas Castaño | Instituto de Ciencias Matemáticas, Madrid |
| Edgard Pimentel | Pontifical Catholic University of Rio de Janeiro |
| Jyotshana Prajapat | University of Mumbai |
| Maximilian Rauchecker | University of Regensburg |
| Sandra Ried | Universität Leipzig |
| Daniel Schliewe | Max-Planck-Institut für Mathematik in den Naturwissenschaften Leipzig |
| Henrik Shahgholian | KTH Royal Institute of Technology |
| Wenhui Shi | Monash University |
| Mariana Smit Vega Garcia | Western Washington University |
| Nicola Soave | Politecnico di Milano |
| Angela Stevens | University of Münster |
| Athanasios Stylianou | Universität Kassel |
| László Székelyhidi | Universität Leipzig |
| Keisuke Takasao | Kyoto University |
| Leonardo Tolomeo | University of Edinburgh |
| Jose Miguel Urbano | University of Coimbra |
| Stephen Watson | University of Glasgow |
| Georg Weiss | Universität Duisburg-Essen |
| Konstantinos Zemas | University of Münster |
| Guanghui Zhang | Huazhong University of Science and Technology |
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