stokes systems
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scholarly journals Nernst–Planck–Navier–Stokes Systems far from Equilibrium

2021 ◽  
Vol 240 (2) ◽  
pp. 1147-1168 ◽  
Author(s):  
Peter Constantin ◽  
Mihaela Ignatova ◽  
Fizay-Noah Lee
Keyword(s):  
Navier Stokes ◽  
Stokes Systems ◽  
Far From Equilibrium

scholarly journals Wolff type potential estimates for stationary Stokes systems with Dini-BMO coefficients

2020 ◽  
pp. 2050064
Author(s):  
Lingwei Ma ◽  
Zhenqiu Zhang
Keyword(s):  
Weak Solution ◽  
Weak Solutions ◽  
Stokes System ◽  
Gradient Estimate ◽  
Regularity Assumption ◽  
Stokes Systems ◽  
Pointwise Bound ◽  
Nonlinear Potential ◽  
Bmo Coefficients ◽  
Type Potential

The pointwise gradient estimate for weak solution pairs to the stationary Stokes system with Dini-[Formula: see text] coefficients is established via the Havin–Maz’ya–Wolff type nonlinear potential of the nonhomogeneous term. In addition, we present a pointwise bound for the weak solutions under no extra regularity assumption on the coefficients.

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