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On a parabolic free boundary problem arising from a Bingham-like flow model with a visco-elastic core - MaRDI portal

On a parabolic free boundary problem arising from a Bingham-like flow model with a visco-elastic core (Q853994)

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scientific article; zbMATH DE number 5078884
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English
On a parabolic free boundary problem arising from a Bingham-like flow model with a visco-elastic core
scientific article; zbMATH DE number 5078884

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    On a parabolic free boundary problem arising from a Bingham-like flow model with a visco-elastic core (English)
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    7 December 2006
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    The paper deals with a two-phase one-dimensional free boundary problem for parabolic equations arising from a mathematical model of Bingham-like fluids with viscoelastic core. The local existence for the problem under consideration is proved by virtue of fixed point arguments based on the Leray--Schauder theorem, whereas uniqueness follows in a more general, weak formulation of the problem.
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    Bingham fluids
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    local existence
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    uniqueness
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    Schauder theorem
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