논문KCI 등재
REGULARITY CRITERIA FOR THE p-HARMONIC AND OSTWALD-DE WAELE FLOWS
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin’s type regularity criteria are established for 1 < p < 2.
Abstract
This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin’s type regularity criteria are established for 1 < p < 2.
참고문헌 (21)
- 3 Nov 2012, "2012", ~
- H.-O. Bae, "Regularity and singularity of weak solutions to Ostwald-De Waele flows", J. Korean Math. Soc, 37(6), pp.957~975 (2000)
- H.-O. Bae, "Regularity for Ostwald-de Waele type shear thickening fluids", Nonlinear Differ. Equ. Appl (2014)
- L. C. Berselli, "Existence of strong solutions for incom-pressible fluids with shear dependent viscosities", J. Math. Fluid Mech, 12(1), pp.101~132 (2010)
- M. Bertsch, "Nonuniqueness for the heat flow of harmonic maps on the disk", Arch. Ration. Mech. Anal, 161(2), pp.93~112 (2002)
- M. Bertsch, "Point singularities and nonuniqueness for the heat flow for harmonic maps", Comm. Partial Differential Equations, 28(5-6), pp.1135~1160 (2003)
- K.-C. Chang, "Finite time blow-up of heat flow of harmonic maps from surface", J. Differential Geom, 36(2), pp.507~515 (1992)
- Y. Chen, "Heat flow of p-harmonic maps with values into spheres", Math. Z, 215(1), pp.25~35 (1994)
- L. Diening, "Strong solutions for generalized Newtonian fluids", J. Math. Fluid Mech, 7(3), pp.413~450 (2005)
- L. Diening, "Existence of weak solutions for unsteady motions of generalized Newtonian fluid", Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), 9(1), pp.1~46 (2010)
- J. Fan, "Logarithmically improved regularity criteria for Navier-Stokes and related equations", Math. Methods Appl. Sci, 32(17), pp.2309~2318 (2009)
- A. Fardoun, "Heat flow for p-harmonic maps with small initial data", Calc. Var. Partial Differential Equations, 16(1), pp.1~16 (2003)
- C. Fefferman, "Hp spaces of several variables", Acta Math, 129(3-4), pp.137~193 (1972)
- N. Hungerbuhler, "Global weak solutions of the p-harmonic flow into homogeneous space", Indiana Univ. Math. J, 45(1), pp.275~288 (1996)
- "2013", ~
- O. A. Ladyzhenskaya, "The Mathematical Theory of Viscous Incompressible Flow" (1969), Gordon and Breach
- J. M´alek, "Weak and Measure-valued Solutions to Evolutionary PDEs" (1996), Chapman & Hall
- M. Misawa, "On the p-harmonic flow into spheres in the singular case", Nonlinear Anal, 50(4), pp.485~494 (2002)
- T. Ogawa, "Sharp Sobolev inequality of logarithmic type and the limiting regularity con-dition to the harmonic heat flow", SIAM J. Math. Anal, 34(6), pp.1318~1330 (2003)
- M. Pokorny, "Cauchy problem for the non-Newtonian viscous incompressible fluid", Appl. Math, 41(3), pp.169~201 (1996)
- J. Wolf, "Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity", J. Math. Fluid Mech, 9(1), pp.104~138 (2007)
관련 논문AI추천
On the improved regularity criterion of the solutions to the Navier-Stokes equationsSadek Gala대한수학회 · 대한수학회논문집2020 · 제35권 제1호Localization of the vorticity direction conditions for the 3D shear thickening fluidsJiaqi Yang대한수학회 · 대한수학회보2020 · 제57권 제6호New regularity criterion for the Navier-Stokes equationsHu Yue, Yuanshan Zhaoy장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호Navier-Stokes equations with anisotropic regularity in one velocity componentXian Yang, Xiqin Ouyang, Zujin Zhang장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호REMARKS ON LOGARITHMICALLY REGULARITY CRITERIA FOR THE 3D VISCOUS MHD EQUATIONSSadek Gala, Xiaochun Chen대한수학회 · 대한수학회지2011 · 제48권 제3호Local regularity criteria of the Navier-Stokes equations with slip boundary conditions강경근, 김명현, 배형옥대한수학회 · 대한수학회지2016 · 제53권 제3호
이 간행물의 다른 논문 (28건)
A NOTE ON NEVANLINNA’S FIVE VALUE THEOREMRupa Pal, Indrajit Lahiripp. 345-350LIE IDEALS IN TRIDIAGONAL ALGEBRA ALGL∞강주호pp. 351-361TWO APPLICATIONS OF LEWIS’ THEOREM ON CHARACTER DEGREE GRAPHS OF SOLVABLE GROUPSLiguo He, Yuanhe Zhao, Jianxing Bipp. 363-366FINITE p-GROUPS WHOSE NON-CENTRAL CYCLIC SUBGROUPS HAVE CYCLIC QUOTIENT GROUPS IN THEIR CENTRALIZERSHaipeng Qu, Lihua Zhang, Jiao Wangpp. 367-376BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACEChuanyou Xu, Peng Zhu, Xifang Caopp. 377-394
