April 22, 2024 - April 26, 2024
Public Access Category: All |
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- Time:
- 11:00am
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
Algebraic Groups Seminar (Shripad)
Tuesday, April 23, 2024, 11 am
====================Venue: Ramanujan Hall
Host: Shripad M. Garge
Speaker: Akash Yadav
Affiliation: IIT Bombay, Mumbai
Title: Borel and parabolic subgroups II
Abstract: We complete the 6th chapter of Springer's book with some important properties of Borel and parabolic subgroups of linear algebraic groups.
- Time:
- 11:00am
- Location:
- Room No 105, Department of Mathematics
- Description:
Algebraic groups Seminar (Dipendra)
Date : Wednesday, 11 AM.
Venue: Room 105
Host: Dipendra Prasad
speaker: Chayan Karmakar
Affiliation: IIT BombayTitle: Regular elements of semi-simple algebraic groups
Abstract: We will continue with the seminar on Algebraic groups by reading the paper of Robert Steinberg, Regular elements of semi-simple algebraic Groups Publications mathématiques de l’I.H.É.S., tome 25 (1965), p. 49-80.
- Time:
- 4:30pm-5:30pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
PDE-Seminar
Wednesday, 24 th April 2024, 16:30 am-17:30 pm
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Venue: Ramanujan hall, Department of Mathematics, IIT Bombay
Host: Debanjana Mitra
Speaker: Dr. Dharmatti Sheetal
Affiliation: Department of Mathematics, IISER Thiruvananthapuram
Title: Cahn-Hilliard-Navier-Stokes equations with Nonhomogeneous Boundary: Existence, Uniqueness, Regularity and Optimal Control
Abstract: The evolution of two isothermal, incompressible, immiscible fluids in a bounded domain is governed by Cahn-Hilliard-Navier-Stokes equations (CHNS System). In this work we study the well-posedness results for CHNS systems with nonhomogeneous boundary conditions for the velocity equation. We obtain the existence of global weak solutions in the two dimensional bounded domain using semi Galerkin approximation. We further prove the continuous dependence of the solution on initial conditions and boundary data that will provide the uniqueness of the weak solution. The existence of strong solutions is also established in this work. Furthermore, we study optimal boundary control using the continuous dependance of strong solution. Using Pontryagin's maximum principle we show that the optimal control is characterised as a unique solution of the appropriate adjoint system.