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Description: |
Various nonlinear evolutionary partial differential equations (coming from physics, fluid and solid mechanics, biology, chemistry etc.) can be viewed as geodesic equations or gradient flows on infinite-dimensional Riemannian structures.Understanding the underlying geometry of a PDE immediately provides certainconserved (in the case of geodesics) or dissipating (in the case of gradient flows) quantities which can be used, for instance, to get a priori bounds, to study asymptotic behaviour of solutions, or to develop numerical schemes. Further insights can be gained by observing that many of those Riemannian structures are related to the theory of optimal transport, which is enjoying a tremendous recent analytic progress. In my talk, I will try to introduce the students into this subject.
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Date: |
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15:00 |
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Speaker: |
Dmitry Vorotnikov (CMUC, Univ. Coimbra)
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Institution: |
CMUC
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Place: |
Room 2.5
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Organization: |
UC|UP Joint PhD Program in Mathematics
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See more:
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<Main>
<UC|UP MATH PhD Program>
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