Fri, February 1, 2019
Public Access Category: All |
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- Time:
- 9:30am-11:00am
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.
Affiliation: Czech Academy of Sciences.
Mode of instruction: via videoconference.
Title of the mini-course: Mathematical Aspects of Euler Equations.
Venue: A1A2 hall, CDEEP, IIT Bombay.
We consider the phenomenon of oscillations in the solution families to partial differential equations. To begin, we briefly discuss the mechanisms preventing oscillations/concentrations and make a short excursion in the theory of compensated compactness. Pursuing the philosophy "everything what is not forbidden is allowed" we show that certain problems in fluid dynamics admit oscillatory solutions. This fact gives rise to two rather unexpected and in a way contradictory results: (i) many problems describing inviscid fluid motion in several space dimensions admit global-in-time (weak solution); (ii) the solutions are not determined uniquely by their initial data. We examine the basic analytical tool behind these rather ground breaking results - the method of convex integration applied to problems in fluid mechanics and, in particular, to the Euler system.
- Time:
- 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Combinatorics Seminar
Speaker : Nishad Kothari.
Time: 11 AM, Friday, 1st February.
Venue: Ramanujan Hall.
Title : Pfaffian Orientations and Conformal Minors.
Abstract: See attachment.
- Time:
- 11:30am-1:00pm
- Location:
- A1A2 hall, CDEEP, IIT Bombay
- Description:
- Name of the instructor: Prof. Eduard Feireisl.
Affiliation: Czech Academy of Sciences.
Mode of instruction: via videoconference.
Title of the mini-course: Mathematical Aspects of Euler Equations.
Venue: A1A2 hall, CDEEP, IIT Bombay.
We consider the phenomenon of oscillations in the solution families to partial differential equations. To begin, we briefly discuss the mechanisms preventing oscillations/concentrations and make a short excursion in the theory of compensated compactness. Pursuing the philosophy "everything what is not forbidden is allowed" we show that certain problems in fluid dynamics admit oscillatory solutions. This fact gives rise to two rather unexpected and in a way contradictory results: (i) many problems describing inviscid fluid motion in several space dimensions admit global-in-time (weak solution); (ii) the solutions are not determined uniquely by their initial data. We examine the basic analytical tool behind these rather ground breaking results - the method of convex integration applied to problems in fluid mechanics and, in particular, to the Euler system.
- Time:
- 4:30pm-5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- CACAAG Seminar.
Speaker: Ramachandran Balasubramanian.
Time: 4:30-5:30 pm, Friday 1 February, 2018.
Venue: Ramanujan Hall.
Title: Zeta Functions Associated to Graphs.
Abstract: This series of talks will cover various notions of zeta
functions associated to graphs