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DTSTART;TZID=Asia/Kolkata:20211110T163000
DTEND;TZID=Asia/Kolkata:20211110T183000
DTSTAMP:20260427T102137
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LAST-MODIFIED:20250806T125934Z
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SUMMARY:Navier stokes equations: A million dollar open problem
DESCRIPTION:The second lecture in the Distinguished Lecture Series organised by the Department of Mathematics at SRM University-AP will be held on November 10\, 2021\, at 4.30 pm. Prof Amiya Kumar Pani from the Department of Mathematics\, IIT Bombay\, will elucidate the lecture on the topic “Navier Stokes Equations: A Million Dollar Open Problem”. \nOn August 8\, 1900\, David Hilbert delivered his famous lecture about 23 open mathematical problems at the second International Congress of Mathematicians in Paris. This influenced the decision of a recently formed Clay Mathematical Institute (CMI) to announce the seven Millennium Prize Problems in the CMI Millennium Meeting held on May 24\, 2000. One such problem is the theme of the present talk. Now it is widely accepted that the motion of an incompressible viscous fluid with moderate velocity is described by the Navier-Stokes Equations. Although these equations were written down in the 19th century\, the existing mathematical results are not adequate to unfold the secrets hidden in the Navier-Stokes equations. \nIn this talk\, Prof Amiya shall concentrate on a brief description of this problem\, mathematical model\, a quick look at history\, what is known at this point\, some important approaches and what is possibly needed. Finally\, he will conclude the talk with a note on the present state of Indian applied mathematics and whether we are ready to contribute towards this millennium problem. \nAbout the Speaker: \nProf Amiya K Pani is Professor at IIT\, Bombay. He is well known for his research work in the area of numerical approximations of partial differential equations. His expertise includes construction\, stability\, and convergence analysis of finite element methods\, finite difference schemes\, orthogonal spline collocation methods for free boundary problems\, partial integrodifferential equations\, coupled equations in Oil Reservoir Studies\, evolutionary variational inequalities\, and scientific computations for industrial applications. Professor Pani is a fellow of the Indian Academy of Sciences and National Academy of Sciences\, India. He was awarded the Best Young Mathematician for his outstanding contributions to Numerical Analysis\, Partial Differential Equations\, and Industrial Mathematics by the Indian Society for Industrial and Applied Mathematics (ISIAM). \nTune in to this intriguing lecture on Navier stokes equations on November 10\, 2021\, at 4.30 pm.
URL:https://events.srmap.edu.in/event/navier-stokes-equations-a-million-dollar-open-problem/
CATEGORIES:Departmental Events,Events,Invited Talks,Math Events
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DTSTART;TZID=Asia/Kolkata:20211124T150000
DTEND;TZID=Asia/Kolkata:20211124T170000
DTSTAMP:20260427T102137
CREATED:20211118T032600Z
LAST-MODIFIED:20211118T032600Z
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SUMMARY:Lecture on multiparameter E_0-semigroups
DESCRIPTION:The Department of Mathematics at SRM University-AP is conducting a departmental seminar on November 24\, 2021\, at 3:00 pm. Prof Sundar Sobers from The Institute of Mathematical Sciences\, Chennai\, India will engage the participants on the topic “Multiparameter E_0-semigroups”. \nAbstract of the lecture: \nIn the late eighties\, Powers initiated the study of the 1-parameter semigroup of endomorphisms on B(H). This was further studied intensively by many others during the last three decades led by William Arveson. Although from the physics point of view\, the 1-parameter theory is the most important one\, from the mathematical perspective\, it is not necessary to restrict oneself to 1-parameter\, i.e. the half-line [0\,infty) and we could replace the half-line with any reasonable semigroup’ like convex cones in higher-dimensional Euclidean space. One of the nice features is that the basic theory stays intact while there are significant differences between the 1-parameter theory and the n-parameter theory. I will explain one such phenomenon. \nIn particular\, Prof Sundar Sobers will define the basic examples of E_0-semigroups\, i.e. the CCR and CAR flow associated with isometric representations of the semigroup P. In the multiparameter world\, CCR flows need not be isomorphic to its opposite\, a sharp contrast to the one-parameter situation. \nDon’t forget to join this lecture on November 24\, 2021\, at 3:00 pm which will be helpful to participants who are doing or planning to start a career in the multiparameter E_0-semigroups domain.
URL:https://events.srmap.edu.in/event/lecture-on-multiparameter-e_0-semigroups/
CATEGORIES:Departmental Events,Events,Math Events
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