Mini-symposium

Analysis of Nonlinear Waves

in the frame of the International Conference “Mathematics Days in Sofia”

his mini-symposium is focused on a variety of problems concerning solutions of a large class of partial differential equations of mathematical physics. These equations support coherent structures like solitary or periodic traveling waves, as well as wave trains and multi-pulses. Such solutions are very important objects when modeling physical processes and their stability is essential in practical applications. Stable states of the system are key because they attract all nearby configurations, while the loss of stability or being able to control it is of practical importance as well. Speakers will showcase the use of dynamical systems, spectral and variational methods, as well as the techniques of Fourier analysis, to resolve an array of open problems in the theory of existence, long-time asymptotic and stability for nonlinear wave solutions.

Organizing Committee

Sevdzhan Hakkaev (Institute of Mathematics and Informatics, Bulgaria and Trakya University, Turkey)
Milena Stanislavova (University of Alabama at Birmingham, USA)
Atanas Stefanov (University of Alabama at Birmingham, USA)

Participants

Ademir Pastor, University of Campinas, Brazil
Andrew Comech, Texas A&M University, USA
Atanas Stefanov, University of Alabama at Birmingham, USA
Dionyssios Mantzavinos, University of Kansas, USA
Fabio Natali, Universidade Estadual de Maringa, Brazil
Georgi Venkov, Technical University of Sofia, Bulgaria
Hongqiu Chen, University of Memphis, USA
Jerry Bona, University of Illinois Chicago, USA
John Albert, University of Oklahoma, USA

Kai Yang, Florida International University, USA
Milena Stanislavova, University of Alabama at Birmingham, USA
Nilay Duruk, Sabanci University, Turkey
Sevdzhan Hakkaev, Institute of Mathematics and Informatics, Bulgaria and Trakya University, Turkey
Stephane Lafortune, College of Charleston, USA
Svetlana Roudenko, Florida International University, USA
Vahagn Manukyan, Miami University, USA
Vladimir Georgiev, University of Pisa, Italy
Yuri Latushkin, University of Missouri, USA

Program of the workshop:

… under construction.

Venue:

The workshop will be held at Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (Sofia, Acad. Georgi Bontchev Str., Block 8).