Local regularity of the Navier–Stokes equations near the curved boundary

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.08.015 ◽

2010 ◽

Vol 363 (1) ◽

pp. 161-173 ◽

Author(s):

Jaewoo Kim ◽

Myeonghyeon Kim

Keyword(s):

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Curved Boundary

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LOCAL REGULARITY CRITERIA OF THE NAVIER-STOKES EQUATIONS WITH SLIP BOUNDARY CONDITIONS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.j150191 ◽

2016 ◽

Vol 53 (3) ◽

pp. 597-621 ◽

Author(s):

Hyeong-Ohk Bae ◽

Kyungkeun Kang ◽

Myeonghyeon Kim

Keyword(s):

Boundary Conditions ◽

Stokes Equations ◽

Regularity Criteria ◽

Local Regularity ◽

Navier Stokes ◽

Slip Boundary Conditions ◽

Navier Stokes Equations ◽

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Local Regularity Theory of the Navier–Stokes Equations

Handbook of Mathematical Fluid Dynamics ◽

10.1016/s1874-5792(07)80008-5 ◽

2007 ◽

pp. 159-200 ◽

Author(s):

G. Seregin

Keyword(s):

Stokes Equations ◽

Regularity Theory ◽

Local Regularity ◽

Navier Stokes ◽

Navier Stokes Equations

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On local regularity conditions for the Navier–Stokes equations

Nonlinearity ◽

10.1088/1361-6544/aaea0a ◽

2019 ◽

Vol 32 (6) ◽

pp. 1905-1928 ◽

Author(s):

Igor Kukavica ◽

Walter Rusin ◽

Mohammed Ziane

Keyword(s):

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Regularity Conditions ◽

Navier Stokes Equations

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Local regularity for suitable weak solutions of Navier–Stokes equations near the boundary

Journal of Mathematical Sciences ◽

10.1007/s10958-010-9843-y ◽

2010 ◽

Vol 166 (1) ◽

pp. 40-52

Author(s):

A. Mikhailov

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Suitable Weak Solutions ◽

Navier Stokes Equations

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Selected Topics of Local Regularity Theory for Navier–Stokes Equations

Lecture Notes in Mathematics - Topics in Mathematical Fluid Mechanics ◽

10.1007/978-3-642-36297-2_5 ◽

2013 ◽

pp. 239-313 ◽

Author(s):

Gregory Seregin

Keyword(s):

Stokes Equations ◽

Regularity Theory ◽

Local Regularity ◽

Navier Stokes ◽

Navier Stokes Equations

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Local regularity of axisymmetric solutions to the Navier–Stokes equations

Analysis and Mathematical Physics ◽

10.1007/s13324-020-00392-1 ◽

2020 ◽

Vol 10 (4) ◽

Author(s):

G. Seregin

Keyword(s):

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Axisymmetric Solutions

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A local regularity condition involving two velocity components of Serrin-type for the Navier–Stokes equations

Comptes Rendus Mathematique ◽

10.1016/j.crma.2015.10.020 ◽

2016 ◽

Vol 354 (2) ◽

pp. 167-174 ◽

Author(s):

Hyeong-Ohk Bae ◽

Jörg Wolf

Keyword(s):

Regularity Condition ◽

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Navier Stokes Equations

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New Sufficient Conditions of Local Regularity for Solutions to the Navier–Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-006-0220-z ◽

2006 ◽

Vol 10 (1) ◽

pp. 106-125 ◽

Author(s):

A. Mahalov ◽

B. Nicolaenko ◽

G. Seregin

Keyword(s):

Stokes Equations ◽

Sufficient Conditions ◽

Local Regularity ◽

Navier Stokes ◽

Navier Stokes Equations

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Sufficient condition of local regularity for the Navier-Stokes equations

Journal of Mathematical Sciences ◽

10.1007/s10958-007-0172-8 ◽

2007 ◽

Vol 143 (2) ◽

pp. 2869-2874 ◽

Author(s):

W. Zajaczkowski ◽

G. A. Seregin

Keyword(s):

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Sufficient Condition ◽

Navier Stokes Equations

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Local Regularity of Suitable Weak Solutions to the Navier--Stokes Equations Near the Boundary

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-002-8533-z ◽

2002 ◽

Vol 4 (1) ◽

pp. 1-29 ◽

Author(s):

G. A. Seregin

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Local Regularity ◽

Navier Stokes ◽

Suitable Weak Solutions ◽

Navier Stokes Equations

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