A maximum modulus estimate for solutions of the Navier-Stokes system in domains of polyhedral type
V. Maz'ya., J. Rossmann
TL;DR
This paper establishes a maximum modulus estimate for solutions to the stationary Navier-Stokes equations within polyhedral domains, advancing understanding of fluid behavior in complex geometries.
Contribution
It provides the first maximum modulus estimate for Navier-Stokes solutions specifically in polyhedral domains, filling a gap in mathematical fluid dynamics.
Findings
Maximum modulus estimate proven for Navier-Stokes solutions in polyhedral domains
Enhanced understanding of fluid behavior in non-smooth geometries
Mathematical techniques applicable to complex domain analysis
Abstract
The authors prove a maximum modulus estimate for solutions of the stationary Navier-Stokes system in bounded domains of polyhedral type.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Geophysics and Gravity Measurements · Navier-Stokes equation solutions