Applied Analysis and Mechanics Seminar
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Mon, 10/10/2005 17:00 |
Martin Golubitsky (University of Houston) |
Applied Analysis and Mechanics Seminar  |
L1 |
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A coupled cell system is a collection of interacting dynamical systems. Coupled cell models assume that the output from each cell is important and that signals from two or more cells can be compared so that patterns of synchrony can emerge. We ask: How much of the qualitative dynamics observed in coupled cells is the product of network architecture and how much depends on the specific equations? The ideas will be illustrated through a series of examples and theorems. One theorem classifies spatio-temporal symmetries of periodic solutions and a second gives necessary and sufficient conditions for synchrony in terms of network architecture. |
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Mon, 17/10/2005 17:00 |
Jan Kristensen (University of Oxford) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 24/10/2005 17:00 |
Christoph Ortner (University of Oxford) |
Applied Analysis and Mechanics Seminar |
L1 |
| For atomistic (and related) material models, global minimization gives the wrong qualitative behaviour; a theory of equilibrium solutions needs to be defined in different terms. In this talk, a process based on gradient flow evolutions is presented, to describe local minimization for simple atomistic models based on the Lennard- Jones potential. As an application, it is shown that an atomistic gradient flow evolution converges to a gradient flow of a continuum energy, as the spacing between the atoms tends to zero. In addition, the convergence of the resulting equilibria is investigated, in the case of both elastic deformation and fracture. | |||
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Mon, 31/10/2005 17:00 |
Gui-Qiang Chen (Northwestern) |
Applied Analysis and Mechanics Seminar |
L1 |
| In this talk we will discuss a theory of divergence-measure fields and related geometric measures, developed recently, and its applications to some fundamental issues in mathematical continuum physics and nonlinear conservation laws whose solutions have very weak regularity, including hyperbolic conservation laws, degenerate parabolic equations, degenerate elliptic equations, among others. | |||
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Mon, 07/11/2005 17:00 |
Tatiana Toro (University of Washington, Seattle) |
Applied Analysis and Mechanics Seminar |
L1 |
| Two dimensional minimal cones were fully classified by Jean Taylor in the mid 70's. In joint work with G. David and T. De Pauw we prove that a closed set which is close to a minimal cone at all scales and at all locations is locally a bi-Hoelder image of a minimal cone. This result is analogous to Reifenberg's disk theorem. A couple of applications will be discussed. | |||
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Mon, 14/11/2005 17:00 |
Pierre-Louis Lions (College de France) |
Applied Analysis and Mechanics Seminar |
L1 |
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Tue, 15/11/2005 11:00 |
Pierre-Louis Lions (College de France) |
Applied Analysis and Mechanics Seminar |
L3 |
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Mon, 28/11/2005 17:00 |
Hartmut R. Schwetlick (University of Bath) |
Applied Analysis and Mechanics Seminar |
L1 |
