MS-Th-D-59
Energy-Driven Pattern Formation - Part I of IV
For Part II, see MS-Th-E-59
For Part III, see MS-Fr-D-59
For Part IV, see MS-Fr-E-59

Date: August 13
Time: 13:30--15:30
Room: 402B

(Note: Click title to show the abstract.)

Organizer:
Kohn, Robert (New York Univ.)

Abstract: Energy-driven pattern formation examines how energy minimization leads to the formation of defects and microstructure in a variety of physical systems. Examples include the wrinkling of a stretched elastic membrane, the twinning produced by martensitic phase transformation, and the defects seen in liquid crystals. In these and many other examples, the physics is modelled by a nonconvex variational problem regularized by a higher-order term with a small coefficient, and energy-driven pattern formation can be studied by considering the limiting behavior of minimizers as the small parameter tends to zero. Another recurrent theme is the use of ansatz-free bounds to identify and explore the features of energy-minimizing configurations. A third recurrent theme is dynamics, since the patterns of interest are sometimes transient states of steepest-descent processes.


MS-Th-D-59-1
13:30--14:00
Optimal energy scaling for branched transport networks
Wirth, Benedikt (Univ. of Munster)


MS-Th-D-59-2
14:00--14:30
On the geometry of dissipative evolution equations
Reina, Celia (Univ. of Pennsylvania)


MS-Th-D-59-3
14:30--15:00
Rigidity, Non-rigidity and Scaling for the Cubic-to-Orthorhombic Phase Transition
Rueland, Angkana (Univ. of Oxford)


MS-Th-D-59-4
15:00--15:30
Quantum Dots and Dislocations: Dynamics of Materials Defects
Fonseca, Irene (Carnegie Mellon Univ.)

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Footnote:
Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA