Applied Analysis and Mechanics Seminar
|
Mon, 23/04/2007 17:00 |
Bjorn Engquist (University of Texas, Austin) |
Applied Analysis and Mechanics Seminar |
L1 |
|
Mon, 30/04/2007 17:00 |
Kewei Zhang (Sussex) |
Applied Analysis and Mechanics Seminar |
L1 |
| For a given Lipschitz graph over a subspace without rank-one matrices with reasonably small Lipschitz constant, we construct quasiconvex functions of quadratic growth whose zero sets are exactly the Lipschitz graph by using a translation method. The gradient of the quasiconvex function is strictly quasi-monotone. When the graph is a smooth compact manifold, the quasiconvex function equals the squared distance function near the graph. The corresponding variational integrals satisfy the Palais-Smale compactness condition under the homogeneous natural boundary condition. | |||
|
Mon, 07/05/2007 17:00 |
Sergio Conti (Duisburg) |
Applied Analysis and Mechanics Seminar |
L1 |
| The intermediate state of a type-I superconductor is a classical example of energy-driven pattern-formation, first studied by Landau in 1937. Mathematically this can be modeled by a nonconvex functional with a singular perturbation, which physically represents the surface energy. In this talk I shall discuss how a combination of interpolation inequalities and explicit constructions permits to determine the scaling of the minimal energy with respect to the relevant material parameters, and therefore to predict a phase diagram for the observed microstructure. This talk is mainly based on joint work with Rustum Choksi, Robert V. Kohn, and Felix Otto. | |||
|
Mon, 14/05/2007 17:00 |
Edriss Titi (Weizmann Institute) |
Applied Analysis and Mechanics Seminar |
L1 |
|
Mon, 28/05/2007 15:30 |
Menita Carozza (Naples) |
Applied Analysis and Mechanics Seminar |
L2 |
|
Mon, 28/05/2007 17:00 |
Nikolai Nadirashvili (Marseille) |
Applied Analysis and Mechanics Seminar |
L1 |
|
Mon, 04/06/2007 17:00 |
Folkmar Bornemann (Technical University, Munich) |
Applied Analysis and Mechanics Seminar |
L1 |
|
Mon, 11/06/2007 17:00 |
Gilles Anglesberg (ETH) |
Applied Analysis and Mechanics Seminar |
L1 |
