7th Euro-Japanese Workshop on Blow-up

The Mathematical Research and Conference Center

Będlewo, Poland, September 5-9, 2016


Invited speakers
(and abstracts)

      JAPAN         EUROPE

G. Akagi K. Ishige P. Biler F. Gazzola
T. Kawakami H. Kubo G. Grillo J. Hulshof
Y. Maekawa H. Matano J. R. King Ph. Laurençot
Y. Naito H. Ohtsuka P. Quittner P. Rybka
T. Senba Y. Sugiyama Ph. Souplet F. B. Weissler


Scientific committee

K. Ishige, P. Quittner, M. Winkler, E. Yanagida


Organizing committee

M. Fila,   G. Karch,   D. Wrzosek


Program



Short talks



Participants

JAPAN: Goro Akagi, Kentarou Fujie, Yohei Fujishima, Junichi Harada, Kazuhiro Ishige, Michinori Ishiwata, Toru Kan, Tatsuki Kawakami, Hideo Kubo, Yasunori Maekawa, Hiroshi Matano, Masanari Miura, Yuki Naito, Hiroshi Ohtsuka, Ryuichi Sato, Yukihiro Seki, Takasi Senba, Masahiko Shimojo, Yoshie Sugiyama, Jin Takahashi, Eiji Yanagida
EUROPE: Paweł Biernat, Piotr Biler, Tobias Black, Jan Burczak, Marek Fila, Filippo Gazzola, Gabriele Grillo, Josephus Hulshof, Grzegorz Karch, John R. King, Piotr Knosalla, Johannes Lankeit, Evangelos Latos, Philippe Laurençot, Pavol Quittner, Piotr Rybka, Mikołaj Sierżęga, Philippe Souplet, Christian Stinner, Hannes Stuke, Fred B. Weissler, Dariusz Wrzosek


Conference photo



General presentation and history


Blow-up phenomena are ubiquitous in mathematical models in the sciences. Virtually every model including nonlinear terms exhibits solutions which may form singularities, such as "real" blow-up in chemical reactions, turbulence in fluid flows, defects in liquid crystals, formation of Bose-Einstein condensates, flows in porous media, fronts in thin viscous flows, combustion, chemotaxis and also in geometric flows. The interest in these phenomena, motivated by a wide variety of applications, provides scientists from different backgrounds and using different methodologies with an inspiring common research focus in which the main language is that of nonlinear partial differential equations. Based on developments in recent analysis on singularity formation in semilinear and quasilinear parabolic equations, an area motivated in part by the early attempts to understand singularity formation in the solutions of the Navier-Stokes equations and the onset of turbulence in fluid flows, this workshop reaches out to more general areas in which the occurrence or non-occurrence of blow-up is a fundamental issue. Once blow-up is established, the main questions are when, where and how does it occur, as well as what happens after blow-up. More precisely, in order to understand the respective mechanisms of singularity formation, it is natural to determine the time and the spatial set where blow-up occurs, investigate the blow-up profile in time and space, and decide whether or not an exploding solution can be continued beyond its blow-up time. The aim of this workshop is to bring together leading researchers in various fields related to the analysis of blow-up phenomena, as well as junior scientists. Among the aspects particularly focused on are the following. This will be the 7th edition of a series of Euro-Japanese workshops on blow-up phenomena. The first six editions of this series took place in

Acknowledgements


This workshop is supported by:

BSQTDE
(Bratislava School of the Qualitative
Theory of Differential Equations)