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 Events
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, 3:30pm-4:30pm

Abstract

We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to time-dependent PDEs in terms of energy dissipation, and allows a weak notion of global-time solutions to nonlinear PDE problems. In broader terms, we will discuss minimizing movements, which approximates dissipative PDE systems with a discrete-time 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.

Note for Attendees

 The first lecture in the series of 3 lectures. 
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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, 3:30pm-4:30pm

Abstract

We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to time-dependent PDEs in terms of energy dissipation, and allows a weak notion of global-time solutions to nonlinear PDE problems. In broader terms, we will discuss minimizing movements, which approximates dissipative PDE systems with a discrete-time 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.

Note for Attendees

  The second lecture in the series of 3 lectures. 
hide
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, 3:30pm-4:30pm

Abstract

We will discuss Gradient flow structures in parabolic type PDEs and interface motions. Such structure introduces physical interpretations to time-dependent PDEs in terms of energy dissipation, and allows a weak notion of global-time solutions to nonlinear PDE problems. In broader terms, we will discuss minimizing movements, which approximates dissipative PDE systems with a discrete-time 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.

Note for Attendees

  The third lecture in the series of 3 lectures. 
hide
 
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