Localization of the vorticity direction conditions for the 3D shear thickening fluids

키워드

참고문헌 (23)

1. Hyeong-Ohk Bae, "Regularity for Ostwald-de Waele type shear thickening fluids", Nonlinear Differential Equations and Applications NoDEA, 22(1), pp.1~19 (2015), Springer Science and Business Media LLC[DOI]
2. H. Beirão da Veiga, "Vorticity and regularity for flows under the Navier boundary condition", Communications on Pure & Applied Analysis, 5(4), pp.907~918 (2006), American Institute of Mathematical Sciences (AIMS)[DOI]
3. H. Beirão da Veiga, "Vorticity and Regularity for Viscous Incompressible Flows under the Dirichlet Boundary Condition. Results and Related Open Problems", Journal of Mathematical Fluid Mechanics, 9(4), pp.506~516 (2007), Springer Science and Business Media LLC[DOI]
4. H. Beirao da Veiga, "On the regularizing effect of the vorticity direction in incompressible viscous ows", Differential Integral Equations, 15(3), pp.345~356 (2002)
5. Hugo Beirão da Veiga, "Navier–Stokes equations: Green's matrices, vorticity direction, and regularity up to the boundary", Journal of Differential Equations, 246(2), pp.597~628 (2009), Elsevier BV[DOI]
6. Luigi C. Berselli, "Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities", Journal of Mathematical Fluid Mechanics, 12(1), pp.101~132 (2010), Springer Science and Business Media LLC[DOI]
7. Peter Constantin, "Direction of vorticity and the problem of global regular-ity for the Navier-Stokes equations", Indiana University Mathematics Journal, 42(3), pp.775~789 (1993), Indiana University Mathematics Journal[DOI]
8. Lars Diening, "Strong Solutions for Generalized Newtonian Fluids", Journal of Mathematical Fluid Mechanics, 7(3), pp.413~450 (2005), Springer Science and Business Media LLC[DOI]
9. Zoran Grujić, "Localization and Geometric Depletion of Vortex-Stretching in the 3D NSE", Communications in Mathematical Physics, 290(3), pp.861~870 (2009), Springer Science and Business Media LLC[DOI]
10. Zoran Grujic, "Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE", Indiana University Mathematics Journal, 53(4), pp.1073~1080 (2004), Indiana University Mathematics Journal[DOI]
11. Zoran Grujić, "Space-Time Localization of a Class of Geometric Criteria for Preventing Blow-up in the 3D NSE", Communications in Mathematical Physics, 262(3), pp.555~564 (2006), Springer Science and Business Media LLC[DOI]
12. V. A. Kondrat'ev, "Boundary value problems for a system in elasticity theory in unbounded domains", Korn inequalities, Russ. Math. Surv, 43(5), pp.65~119 (1988)
13. O. A. Ladyzhenskaya, "The Mathematical Theory of Viscous Incompressible Flow" (1969), Gordon and Breach, Science Publishers
14. Jean Leray, "Sur le mouvement d'un liquide visqueux emplissant l'espace", Acta Mathematica, 63(0), pp.193~248 (1934), International Press of Boston[DOI]
15. J. Malek, "Weak and measure-valued solutions to evolutionary PDEs" (1996), Chapman & Hall
16. J. Malek, "On weak solutions to a class of non-Newtonian incompressible uids in bounded three-dimensional domains : the case p 2", Adv. Differential Equations, 6(3), pp.257~302 (2001)
17. M. Pokorny, "Cauchy problem for the non-Newtonian viscous incompressible fluid", Appl. Math, 41(3), pp.169~201 (1996)
18. Giovanni Prodi, "Un teorema di unicità per le equazioni di Navier-Stokes", Annali di Matematica Pura ed Applicata, 48(1), pp.173~182 (1959), Springer Science and Business Media LLC[DOI]
19. James Serrin, "On the interior regularity of weak solutions of the Navier-Stokes equations", Archive for Rational Mechanics and Analysis, 9(1), pp.187~195 (1962), Springer Science and Business Media LLC[DOI]
20. J. Serrin, "Nonlinear Problems", pp.69~98 (1963), Univ. of Wisconsin Press
21. E. M. Stein, "Singular integrals and differentiability properties of functions" (1970), Princeton University Press
22. Jörg Wolf, "Existence of Weak Solutions to the Equations of Non-Stationary Motion of Non-Newtonian Fluids with Shear Rate Dependent Viscosity", Journal of Mathematical Fluid Mechanics, 9(1), pp.104~138 (2007), Springer Science and Business Media LLC[DOI]
23. J. Yang, "Geometric Constrains for Global Regularity of 3D Shear Thickening Fluids", Acta Mathematicae Applicatae Sinica

관련 논문AI추천