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In this paper, for the Navier-Stokes equations in a bounded connected polygon or polyhedron $$\Omega \subset R^d$$Ω⊂Rd, $$d=2,3$$d=2,3, with a homogenous stress type mixed boundary condition, we establish an a… Click to show full abstract
In this paper, for the Navier-Stokes equations in a bounded connected polygon or polyhedron $$\Omega \subset R^d$$Ω⊂Rd, $$d=2,3$$d=2,3, with a homogenous stress type mixed boundary condition, we establish an a priori estimate for the weak solutions and the existence result without small data and/or large viscosity restriction. And a global uniqueness result is obvious based on the a priori estimate obtained.
Keywords:
stokes equations;
weak solutions;
mixed boundary;
navier stokes;
solutions steady;
steady navier
Journal Title: Mathematische Zeitschrift
Year Published: 2019
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Journal Title: Mathematische Zeitschrift
Year Published: 2019
Link to full text (if available)
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recommendations!