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A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation
parabolic convection-reaction-diffusion equation math
2010/11/23
We propose a finite volume method on general meshes for the discretization of a degenerate parabolic convection-reaction-diffusion equation. Equations of this type arise in many contexts, such as the ...
Dirac mass dynamics in a multidimensional nonlocal parabolic equation
Dirac mass dynamics multidimensional nonlocal parabolic equation
2010/11/12
Nonlocal Lotka-Volterra models have the property that solutions concentrate as Dirac masses in the limit of small diffusion. Is it possible to describe the dynamics of the limiting concentration point...
Essential parabolic structures and their infinitesimal automorphisms
Essential parabolic structures infinitesimal automorphisms
2010/11/8
Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a pa...
Conjugacy classes in maximal parabolic subgroups of general linear groups
Conjugacy classes parabolic subgroups linear groups
2010/10/29
We compute conjugacy classes in maximal parabolic subgroups of the general linear group. This computation proceeds by reducing to a ``matrix problem''. Such problems involve finding normal forms for ...