UCLA

Tue 3 Mar 2020, 3:30pm
SPECIAL
Diff. Geom, Math. Phys., PDE Seminar / PIMS Seminars and PDF Colloquiums
PIMS lounge

PIMS distinguished visitor minicourse: Gradient flows and minimizing movements. Lecture 1

PIMS lounge
Tue 3 Mar 2020, 3:30pm4:30pm
Abstract
We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to timedependent PDEs in terms of energy dissipation, and allows a weak notion of globaltime solutions to nonlinear PDE problems. In broader terms, we will discuss minimizing movements, which approximates dissipative PDE systems with a discretetime optimization problem. Lecture 1 will be a general introduction. Lecture 2 and 3 will discuss specific examples of minimizing movements: the mean curvature flow and nonlinear diffusions with Darcy's law.
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UCLA

Thu 5 Mar 2020, 3:30pm
SPECIAL
Diff. Geom, Math. Phys., PDE Seminar / PIMS Seminars and PDF Colloquiums
PIMS lounge

PIMS distinguished visitor minicourse: Gradient flows and minimizing movements. Lecture 2.

PIMS lounge
Thu 5 Mar 2020, 3:30pm4:30pm
Abstract
We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to timedependent PDEs in terms of energy dissipation, and allows a weak notion of globaltime solutions to nonlinear PDE problems. In broader terms, we will discuss minimizing movements, which approximates dissipative PDE systems with a discretetime optimization problem. Lecture 1 will be a general introduction. Lecture 2 and 3 will discuss specific examples of minimizing movements: the mean curvature flow and nonlinear diffusions with Darcy's law.
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UCLA

Tue 10 Mar 2020, 3:30pm
SPECIAL
Diff. Geom, Math. Phys., PDE Seminar / PIMS Seminars and PDF Colloquiums
PIMS lounge

PIMS distinguished visitor minicourse: Gradient flows and minimizing movements. Lecture 3.

PIMS lounge
Tue 10 Mar 2020, 3:30pm4:30pm
Abstract
We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to timedependent PDEs in terms of energy dissipation, and allows a weak notion of globaltime solutions to nonlinear PDE problems. In broader terms, we will discuss minimizing movements, which approximates dissipative PDE systems with a discretetime optimization problem. Lecture 1 will be a general introduction. Lecture 2 and 3 will discuss specific examples of minimizing movements: the mean curvature flow and nonlinear diffusions with Darcy's law.
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Seminar Information Pages

Note for Attendees
The first lecture in the series of 3 lectures.