메뉴 건너뛰기




Volumn 280, Issue 5-6, 2007, Pages 534-559

The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝn

Author keywords

Boundary integral representations; Dirichlet problem; Fundamental solution; Hydrodynamic potentials; Stokes resolvent equations

Indexed keywords


EID: 34247253366     PISSN: 0025584X     EISSN: 15222616     Source Type: Journal    
DOI: 10.1002/mana.200410501     Document Type: Article
Times cited : (18)

References (35)
  • 3
    • 0039565203 scopus 로고
    • On the boundedness of the Stokes semigroup in two-dimensional exterior domains
    • W. Borchers and W. Varnhorn, On the boundedness of the Stokes semigroup in two-dimensional exterior domains, Math. Z. 213, 275-300 (1993).
    • (1993) Math. Z , vol.213 , pp. 275-300
    • Borchers, W.1    Varnhorn, W.2
  • 4
    • 84988159008 scopus 로고
    • The resolvent problem for the Stokes system in exterior domains: An elementary approach
    • P. Deuring, The resolvent problem for the Stokes system in exterior domains: An elementary approach, Math. Methods Appl. Sci. 13, 335-349 (1990).
    • (1990) Math. Methods Appl. Sci , vol.13 , pp. 335-349
    • Deuring, P.1
  • 5
    • 84988172929 scopus 로고
    • An integral operator related to the Stokes system in exterior domains
    • P. Deuring, An integral operator related to the Stokes system in exterior domains, Math. Methods Appl. Sci. 13, 323-333 (1990).
    • (1990) Math. Methods Appl. Sci , vol.13 , pp. 323-333
    • Deuring, P.1
  • 6
    • 84971186676 scopus 로고
    • The resolvent problem for the Stokes system in exteriur domains: Uniqueness and nonregularity in Hölder spaces
    • P. Deuring, The resolvent problem for the Stokes system in exteriur domains: uniqueness and nonregularity in Hölder spaces, Proc. Roy. Soc. Edinburgh Sect. A 122, 1-10 (1992).
    • (1992) Proc. Roy. Soc. Edinburgh Sect. A , vol.122 , pp. 1-10
    • Deuring, P.1
  • 8
    • 84972568649 scopus 로고
    • Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
    • R. Farwing and H. Sohr, Generalized resolvent estimates for the Stokes system in bounded and unbounded domains, J. Math. Soc. Japan 46, 607-643 (1994).
    • (1994) J. Math. Soc. Japan , vol.46 , pp. 607-643
    • Farwing, R.1    Sohr, H.2
  • 12
    • 0021779106 scopus 로고
    • On an integral equation for the two-dimensional exterior Stokes problem
    • G. C. Hsiao and R. Kress, On an integral equation for the two-dimensional exterior Stokes problem, Appl. Numer. Math. 1, 77-93 (1985).
    • (1985) Appl. Numer. Math , vol.1 , pp. 77-93
    • Hsiao, G.C.1    Kress, R.2
  • 15
    • 17844376735 scopus 로고    scopus 로고
    • An indirect boundary integral method for an oscillatory Stokes flow problem
    • M. Kohr, An indirect boundary integral method for an oscillatory Stokes flow problem, Int. J. Math. Math. Sci. 47, 2961-2976 (2003).
    • (2003) Int. J. Math. Math. Sci , vol.47 , pp. 2961-2976
    • Kohr, M.1
  • 16
    • 26844554294 scopus 로고    scopus 로고
    • A boundary integral method for an oscillatory Stokes flow past two bodies
    • World Sci. Publ, River Edge, NJ
    • M. Kohr, A boundary integral method for an oscillatory Stokes flow past two bodies, in: Progress in Analysis Vol. I-II (World Sci. Publ., River Edge, NJ, 2003), pp. 1215-1222.
    • (2003) Progress in Analysis , vol.I-II , pp. 1215-1222
    • Kohr, M.1
  • 17
    • 26844515476 scopus 로고    scopus 로고
    • Boundary integral method for an oscillatory Stokes flow past a solid particle
    • M. Kohr and I. Pop, Boundary integral method for an oscillatory Stokes flow past a solid particle, Int. J. Appl. Mech. Eng. 8, 603-620 (2003).
    • (2003) Int. J. Appl. Mech. Eng , vol.8 , pp. 603-620
    • Kohr, M.1    Pop, I.2
  • 23
    • 0001143605 scopus 로고
    • Über die Randwertaufgaben der Hydrodynamik zäher Flüssigkeiten
    • F. G. K. Odqvist, Über die Randwertaufgaben der Hydrodynamik zäher Flüssigkeiten, Math. Z. 32, 329-375 (1930).
    • (1930) Math. Z , vol.32 , pp. 329-375
    • Odqvist, F.G.K.1
  • 25
    • 0001693590 scopus 로고
    • A singularity method for unsteady linearized flow
    • C. Pozrikidis, A singularity method for unsteady linearized flow, Phys. Fluids 1, 1508-1520 (1989).
    • (1989) Phys. Fluids , vol.1 , pp. 1508-1520
    • Pozrikidis, C.1
  • 26
    • 0024663992 scopus 로고
    • A study of linearized oscillatory flow past particles by the boundary integral method
    • C. Pozrikidis, A study of linearized oscillatory flow past particles by the boundary integral method, J. Fluid Mech. 202, 17-41 (1989).
    • (1989) J. Fluid Mech , vol.202 , pp. 17-41
    • Pozrikidis, C.1
  • 28
    • 34250298739 scopus 로고
    • Estimates for solutions of nonstationary Navier-Stokes equations
    • V. A. Solonnikov, Estimates for solutions of nonstationary Navier-Stokes equations, J. Soviet. Math. 8, 467-529 (1977).
    • (1977) J. Soviet. Math , vol.8 , pp. 467-529
    • Solonnikov, V.A.1
  • 30
    • 0042644938 scopus 로고    scopus 로고
    • Zur Numerik der Gleichungen von Navier-Stokes
    • Ph.D. thesis, University of Paderborn 1985
    • W. Varnhorn, Zur Numerik der Gleichungen von Navier-Stokes, Ph.D. thesis, University of Paderborn (1985).
    • Varnhorn, W.1
  • 31
    • 51249172062 scopus 로고
    • An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions
    • W. Varnhorn, An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions, Manuscripta Math. 70, 339-361 (1991).
    • (1991) Manuscripta Math , vol.70 , pp. 339-361
    • Varnhorn, W.1
  • 33
    • 26844464556 scopus 로고    scopus 로고
    • n
    • edited by J. G. Heywood, K. Masuda, R. Rautmann, and V. A. Solonnikov World Sci. Publ, Singapore
    • n, in: Theory of the Navier-Stokes Equations, edited by J. G. Heywood, K. Masuda, R. Rautmann, and V. A. Solonnikov (World Sci. Publ., Singapore, 1998), pp. 206-224.
    • (1998) Theory of the Navier-Stokes Equations , pp. 206-224
    • Varnhorn, W.1
  • 34
    • 4644291973 scopus 로고    scopus 로고
    • The boundary value problems of the Stokes resolvent equations in n dimensions
    • W. Varnhorn, The boundary value problems of the Stokes resolvent equations in n dimensions, Math. Nachr. 269-270, 210-230 (2004).
    • (2004) Math. Nachr , vol.269-270 , pp. 210-230
    • Varnhorn, W.1
  • 35
    • 0012781769 scopus 로고
    • A note on slow vibrations in a viscous fluid
    • W. E. Williams, A note on slow vibrations in a viscous fluid, J. Fluid Mech. 25, 589-590 (1966).
    • (1966) J. Fluid Mech , vol.25 , pp. 589-590
    • Williams, W.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.