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It is obtained that a localization of the vorticity direction coherence conditions for the regularity of the 3D shear thickening fluids to an arbitrarily small space-time cylinder. It implies the regularity of any geometrically constrained weak solution of the system considered independently of the type of the spatial domain or the boundary conditions.
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참고문헌 (23)
참고문헌 신청
Hyeong-Ohk Bae / 2015 / Regularity for Ostwald-de Waele type shear thickening fluids / Nonlinear Differential Equations and Applications NoDEA 22(1):1~19
H. Beirão da Veiga / 2006 / Vorticity and regularity for flows under the Navier boundary condition / Communications on Pure & Applied Analysis 5(4):907~918
H. Beirão da Veiga / 2007 / Vorticity and Regularity for Viscous Incompressible Flows under the Dirichlet Boundary Condition. Results and Related Open Problems / Journal of Mathematical Fluid Mechanics 9(4):506~516
H. Beirao da Veiga / 2002 / On the regularizing effect of the vorticity direction in incompressible viscous ows / Differential Integral Equations 15(3):345~356
Hugo Beirão da Veiga / 2009 / Navier–Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary / Journal of Differential Equations 246(2):597~628
H. Beirão da Veiga / 2006 / Vorticity and regularity for flows under the Navier boundary condition / Communications on Pure & Applied Analysis 5(4):907~918
H. Beirão da Veiga / 2007 / Vorticity and Regularity for Viscous Incompressible Flows under the Dirichlet Boundary Condition. Results and Related Open Problems / Journal of Mathematical Fluid Mechanics 9(4):506~516
H. Beirao da Veiga / 2002 / On the regularizing effect of the vorticity direction in incompressible viscous ows / Differential Integral Equations 15(3):345~356
Hugo Beirão da Veiga / 2009 / Navier–Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary / Journal of Differential Equations 246(2):597~628
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