A note on the evolution Navier-Stokes equations with a pressure-dependent viscosity

被引：34

作者：

Gazzola, F

机构：

[1] Dipartimento di Scienze T.A., 15100 Alessandria

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1997年 / 48卷 / 05期

关键词：

Navier-Stokes equations; viscosity; ellipticity;

D O I：

10.1007/s000330050063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Navier-Stokes equations with a pressure-dependent viscosity. Under suitable assumptions on the external force and on the initial data, we prove that the Cauchy-Dirichlet problem for the evolution equations admits a unique solution.

引用

页码：760 / 773

页数：14

共 16 条

[1]

[Anonymous], REND SEMIN MAT U PAD

[2]

EYRING H, 1940, J APPL PHYS, V11, P75

[3]

FUJIWARA D, 1968, J FAC SCI U TOKYO 1, V15, P169

[4] ON ASYMPTOTIC BEHAVIOUR OF GREEN OPERATORS FOR ELLIPTIC BOUNDARY PROBLEMS AND PURE IMAGINARY POWERS OF SOME SECOND ORDER OPERATORS [J].

FUJIWARA, D .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1969, 21 (04) :481-+

[5]

FUJIWARA D, 1977, J FS U TOKYO 1A, V24, P685, DOI 10.15083/00039693

[6]

Gazzola F, 1995, ANN U FERRARA, V41, P95

[7]

GAZZOLA F, 1994, REND I LOMB SCI A, V128, P107

[8]

GAZZOLA F, 1996, SOME RESULTS STATION

[9] DOMAINS OF FRACTIONAL-POWERS OF THE STOKES OPERATOR IN L SPACES [J].

GIGA, Y .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 89 (03) :251-265

[10] ANALYTICITY OF THE SEMIGROUP GENERATED BY THE STOKES OPERATOR IN LR SPACES [J].

GIGA, Y .

MATHEMATISCHE ZEITSCHRIFT, 1981, 178 (03) :297-329

← 1 2 →