A minimization approach (in De Giorgi’s style) to the wave equation on time-dependent domains - TIB AV-Portal

A minimization approach (in De Giorgi’s style) to the wave equation on time-dependent domains

00:00

6

Related Material

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Maso, Gianni Dal

Formal Metadata

Title

A minimization approach (in De Giorgi’s style) to the wave equation on time-dependent domains

Alternative Title

A minimization approach to the wave equation on time-dependent domains

Title of Series

Topics in the Calculus of Variations: Recent Advances and New Trends (18w5094)

Number of Parts

26

Author

Maso, Gianni Dal

Contributors

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/59089 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

Language

Content Metadata

Subject Area

Genre

Workshop/Interactive Format Lecture

Abstract

We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of suitable functionals defined on space-time.

Series

Topics in the Calculus of Variations: Recent Advances and New Trends (18w5094)1 / 26

1

41:06

A minimization approach (in De Giorgi’s style) to the wave equation on time-dependent domains

2

27:07

On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem

3

33:20

Ripples in graphene: A variational approach

4

36:33

The mathematics of charged liquid drops

5

28:24

Keeping it together: A connectedness constraint in phase-field simulations

6

33:28

Stability of the Gaussian isoperimetric problem

7

26:08

Approximation of fracture problems via Gamma-convergence: state of art and new results

8

31:04

Cahn-Hilliard energies: second-order Gamma-convergence and metastable states

9

30:06

The wrinkling of a twisted ribbon

10

34:20

Optimal regularity and structure of the free boundary for minimizers in cohesive zone models

11

28:13

Energy driven systems from Liquid Crystals and Epitaxy

12

33:05

Homogenization in non-convex Hencky plasticity and the limit of vanishing hardening in Hencky plasticity with non-convex potentials

13

38:04

Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity

14

31:33

Approximation of functions with small jump sets and existence of strong minimizers of the Griffith’s energy in dimension n

15

36:57

A variational approach to the Crystalline Mean Curvature Flow

16

24:45

Effects of periodic homogenization in phase transition problems

17

25:55

Dimension reduction in the context of structured deformations

18

34:21

Liftings of BV-maps and lower semicontinuity

19

31:17

Discrete optimal transport

20

27:37

Linearization for solid-solid phase transitions

21

32:29

Reverse approximation of gradient flows as Minimizing Movements

22

35:40

Analytical validation of the Young-Dupré law for epitaxially-strained thin films

23

38:23

Shape design of a polymer microstructure for bones

24

27:17

Forces on dislocations lines in three dimensions

25

33:50

Equilibria configurations for epitaxial crystal growth with adatoms

26

36:39

Asymptotic stability of the gradient flow of nonlocal energies

Automatic playback