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DTSTART;TZID=Europe/Sofia:20220622T140000
DTEND;TZID=Europe/Sofia:20220622T153000
DTSTAMP:20260427T215728
CREATED:20220621T152153Z
LAST-MODIFIED:20220621T152153Z
UID:12554-1655906400-1655911800@math.bas.bg
SUMMARY:Семинар "Диференциални уравнения и математическа физика"
DESCRIPTION:На 22.06.2022г. от 14 ч. ще се проведе поредната сбирка на\nсеминара по Диференциални уравнения на секция ДУМФ. \nДоклад на тема \nOn Contact Defects in Reaction-Diffusion Systems\nще изнесе д-р Милен Иванов. \nАбстракт: \nSolutions of reaction-diffusion systems exhibit a wide variety of patterns like spirals\, stripes and Turing patterns. In particular\, the Belousov-Zhabotinsky (BZ) reaction produces spiral patterns\, which may undergo a period-doubling bifurcation; then a line defect is emitted from the center of the spiral and along it the pattern jumps half a period. In order to study this phenomenon\, we consider the so-called contact defects\, studied by Sandstede and Scheel: functions\, which converge (in an appropriate sense) to a periodic function as x→±∞. Of interest is the problem of truncating such a defect to a large interval\, with Neumann or periodic boundary conditions.  \nWe will discuss the existence\, uniqueness and spectral stability of such a truncated contact defect. It will turn out contact defect is spectrally stable when given periodic boundary conditions\, and spectrally unstable with Neumann boundary conditions. These results suggest that the observed spiral patterns with line defects are stable. \nСеминарът ще се проведе онлайн в Зуум на адрес: \nhttps://us02web.zoom.us/j/84907200931?pwd=dlBQSEZjb04zank0WGJxeWJsZHNidz09 \nMeeting ID: 849 0720 0931 \nPasscode: 483873 \nВсички интересуващи се са поканени. \n\nСекция “Диференциални уравнения и математическа физика”
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b4%d0%b8%d1%84%d0%b5%d1%80%d0%b5%d0%bd%d1%86%d0%b8%d0%b0%d0%bb%d0%bd%d0%b8-%d1%83%d1%80%d0%b0%d0%b2%d0%bd%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b8-%d0%bc%d0%b0-2/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%94%D0%B8%D1%84%D0%B5%D1%80%D0%B5%D0%BD%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8%20%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F%20%D0%B8%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%20%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0":MAILTO:seminar_differential_equations@math.bas.bg
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