Applied Analysis and Mechanics Seminar (past)
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Mon, 09/05/2005 17:00 |
Kewei Zhang (Sussex) |
Applied Analysis and Mechanics Seminar  |
L1 |
| We use the partial differential inclusion method to establish existence of infinitely many weak solutions to the one-dimensional version of the Perona-Malek anisotropic diffusion model in the theory of image processing. We consider the homogeneous Neumann problem as the model requires. . | |||
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Mon, 02/05/2005 17:00 |
Matania Ben-Artzi (Hebrew University) |
Applied Analysis and Mechanics Seminar |
L1 |
| An important class of nonlinear parabolic equations is the class of quasi-linear equations, i.e., equations with a leading second-order (in space) linear part (e.g., the Laplacian) and a nonlinear part which depends on the first-order spatial derivatives of the unknown function. This class contains the Navier-Stokes system of fluid dynamics, as well as "viscous" versions (or "regularized") of the Hamilton-Jacobi equation, nonlinear hyperbolic conservation laws and more. The talk will present various recent results concerning existence/uniqueness (and nonexistence/nonuniqueness) of global solutions. In addition, a new class of "Bernstein-type" estimates of derivatives will be presented. These estimates are independent of the viscosity parameter and thus lead to results concerning the "zero-viscosity" limit. | |||
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Wed, 27/04/2005 17:00 |
Nirmalendu Chaudhuri (Australian National University) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 25/04/2005 17:00 |
Christof Melcher (Humboldt University, Berlin) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 07/03/2005 17:00 |
Gudrun Thaether (Univ Dortmund) |
Applied Analysis and Mechanics Seminar |
L1 |
| /notices/events/abstracts/applied-analysis/ht05/gudrun.pdf | |||
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Mon, 28/02/2005 17:00 |
Laszlo Szekelyhidi (ETH, Zurich) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 21/02/2005 17:00 |
Barbara Niethammer (Humboldt, Berlin) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 14/02/2005 17:00 |
S I Pohozaev (Steklov Institute of Mathematics, Moscow) |
Applied Analysis and Mechanics Seminar |
L1 |
| /notices/events/abstracts/applied-analysis/ht05/pohozaev.shtml | |||
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Mon, 31/01/2005 17:00 |
Steffen Krusch (Kent) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 24/01/2005 17:00 |
S Muller (Max-Planck-Institute for Mathematics in the Sciences, Leipzig) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 17/01/2005 17:00 |
R W Ogden (Glasgow) |
Applied Analysis and Mechanics Seminar |
L1 |
| /notices/events/abstracts/applied-analysis/ht05/ogden.shtml | |||
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Mon, 29/11/2004 17:00 |
Bjorn Sandstede (Surrey) |
Applied Analysis and Mechanics Seminar |
L1 |
| Coherent structures, or defects, are interfaces between wave trains with possibly different wavenumbers: they are time-periodic in an appropriate coordinate frame and connect two, possibly different, spatially-periodic travelling waves. We propose a classification of defects into four different classes which have all been observed experimentally. The characteristic distinguishing these classes is the sign of the group velocities of the wave trains to either side of the defect, measured relative to the speed of the defect. Using a spatial-dynamics description in which defects correspond to homoclinic and heteroclinic orbits, we then relate robustness properties of defects to their spectral stability properties. If time permits, we will also discuss how defects interact with each other. | |||
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Mon, 15/11/2004 17:00 |
Jan Kolar (Prague) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 08/11/2004 17:00 |
Andrew Lorent (Oxford) |
Applied Analysis and Mechanics Seminar |
L1 |
| Marstrand's Theorem is a one of the classic results of Geometric Measure Theory, amongst other things it says that fractal measures do not have density. All methods of proof have used symmetry properties of Euclidean space in an essential way. We will present an elementary history of the subject and state a version of Marstrand's theorem which holds for spaces whose unit ball is a polytope. | |||
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Mon, 01/11/2004 17:00 |
Mario Nardone (Oxford) |
Applied Analysis and Mechanics Seminar |
L1 |
| While the classification of crystals made up by just one atom per cell is well-known and understood (Bravais lattices), that for more complex structures is not. We present a geometric way classifying these crystals and an arithmetic one, the latter introduced in solid mechanics only recently. The two approaches are then compared. Our main result states that they are actually equivalent; this way a geometric interpretation of the arithmetic criterion in given. These results are useful for the kinematic description of solid-solid phase transitions. Finally we will reformulate the arithmetic point of view in terms of group cohomology, giving an intrinsic view and showing interesting features. | |||
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Mon, 25/10/2004 17:00 |
Ali Taheri (Oxford) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 18/10/2004 17:00 |
Toby O'Neil (Open University) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 11/10/2004 17:00 |
Peter Lax (Courant Institute) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 14/06/2004 17:00 |
A I Schnirelman (Hull) |
Applied Analysis and Mechanics Seminar |
L1 |
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Mon, 07/06/2004 17:00 |
Berck Gautier (Universite catholique de louvain) |
Applied Analysis and Mechanics Seminar |
L1 |
| The talk will discuss the variationnal problem on finite dimensional normed spaces and Finsler manifolds. We first review different notions of ellipticity (convexity) for parametric integrands (densities) on normed spaces and compare them with different minimality properties of affine subspaces. Special attention will be given to Busemann and Holmes-Thompson k-area. If time permits, we will then present the first variation formula on Finsler manifolds and exhibit a class of minimal submanifolds. | |||
