Nonlocal Navier–Stokes problems in abstract function spaces and applications

Nonlocal Navier–Stokes problems in abstract function spaces and applications

The existence, uniqueness and Lp estimates to solution of initial nonlocal boundary value problems for Navier–Stokes equation with operator coefficients are derived. These types of boundary conditions arise in control problems, especially in experimental studies of incompressible fluids.

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Veröffentlicht in:Nonlinear analysis: real world applications 2015-12, Vol.26, p.19-43
1. Verfasser: Shakhmurov, Veli B.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Differential-operator equations
Estimates
Function space
Mathematical analysis
Maximal [formula omitted] regularity
Navier-Stokes equations
Operators
Semigroups of operators
Stokes systems
Uniqueness
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Beschreibung
Zusammenfassung:The existence, uniqueness and Lp estimates to solution of initial nonlocal boundary value problems for Navier–Stokes equation with operator coefficients are derived. These types of boundary conditions arise in control problems, especially in experimental studies of incompressible fluids.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2015.03.011