Propagation and absorption of concentration effects near shock hypersurfaces for the heat equation (Q2730769)

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scientific article; zbMATH DE number 1624963
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Propagation and absorption of concentration effects near shock hypersurfaces for the heat equation
scientific article; zbMATH DE number 1624963

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    13 February 2002
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    propagation term
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    shock hypersurfaces
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    bounded square integrable family of initial data
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    Propagation and absorption of concentration effects near shock hypersurfaces for the heat equation (English)
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    The author studies families of solutions to the heat equation with small parameter and a propagation term consisting of a discontinuous vector field through a smooth compact hypersurface. The evolution is described, as the parameter tends to zero, of the energy density of the solutions corresponding to a bounded square integrable family of initial data.
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