Trace theorems for three-dimensional, time-dependent solenoidal vector fields and their applications (Q2759056)

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scientific article; zbMATH DE number 1680714
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Trace theorems for three-dimensional, time-dependent solenoidal vector fields and their applications
scientific article; zbMATH DE number 1680714

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    Trace theorems for three-dimensional, time-dependent solenoidal vector fields and their applications (English)
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    10 December 2001
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    solenoidal vector fields
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    inhomogeneous boudary value problem
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    traces
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    inhomogeneous boundary value problems
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    systems of partial differential equations
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    Navier-Stokes system
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    unsteady viscous incompressible flows
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    The authors study the properties of traces of three-dimensional, time dependent solenoidal vector fields. They give also some applications to the study of inhomogeneous boundary value problems for systems of partial differential equations which involve solenoidal vector fields, in particular to inhomogeneous boundary value problems for the Navier-Stokes system for unsteady, viscous, incompressible flows.
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