메뉴 건너뛰기




Volumn 28, Issue 5, 1997, Pages 1135-1157

Free boundary fluid systems in a semigroup approach and oscillatory behavior

Author keywords

Free boundary; Hopf bifurcation; Viscous fluid

Indexed keywords


EID: 0031480896     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141096299892     Document Type: Article
Times cited : (27)

References (17)
  • 1
    • 84980080664 scopus 로고
    • Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
    • S. AGMON, A. DOUGLIS, AND N. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II, Comm. Pure Appl. Math., 17 (1964), pp. 35-92.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 35-92
    • Agmon, S.1    Douglis, A.2    Nirenberg, N.3
  • 2
    • 0021197315 scopus 로고
    • Large time regularity of viscous surface waves
    • J. T. BEALE, Large time regularity of viscous surface waves, Arch. Rational Mech. Anal., 84 (1984), pp. 307-352.
    • (1984) Arch. Rational Mech. Anal. , vol.84 , pp. 307-352
    • Beale, J.T.1
  • 3
  • 4
    • 84916128879 scopus 로고
    • Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung
    • J. BEMELMANS, Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung, Analysis, 1 (1981), pp. 241-282.
    • (1981) Analysis , vol.1 , pp. 241-282
    • Bemelmans, J.1
  • 5
    • 0017676561 scopus 로고
    • The Hopf bifurcation theorem in infinite dimensions
    • M. G. CRANDALL AND P. H. RABINOWITZ, The Hopf bifurcation theorem in infinite dimensions, Arch. Rational Mech. Anal., 67 (1978), pp. 53-72.
    • (1978) Arch. Rational Mech. Anal. , vol.67 , pp. 53-72
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 6
    • 0347036716 scopus 로고
    • Abstract differential equations, maximal regularity, and linearization
    • Nonlinear Functional Analysis and Its Applications
    • G. DA PRATO, Abstract differential equations, maximal regularity, and linearization, Nonlinear Functional Analysis and Its Applications, Proc. Symp. in Pure Math., 45/1 (1986), pp. 359-370.
    • (1986) Proc. Symp. in Pure Math. , vol.45 , Issue.1 , pp. 359-370
    • Da Prato, G.1
  • 7
    • 84974027316 scopus 로고
    • Microscale pressure fluctuations near waves generated by wind
    • J. A. ELLIOTT, Microscale pressure fluctuations near waves generated by wind, J. Fluid Mech., 54 (1972), pp. 427-448.
    • (1972) J. Fluid Mech. , vol.54 , pp. 427-448
    • Elliott, J.A.1
  • 11
    • 0024087308 scopus 로고
    • Oscillations of drops in zero gravity with weak viscous effects
    • T. S. LUNDGREN AND N. N. MANSOUR, Oscillations of drops in zero gravity with weak viscous effects, J. Fluid Mech., 194 (1988), pp. 479-510.
    • (1988) J. Fluid Mech. , vol.194 , pp. 479-510
    • Lundgren, T.S.1    Mansour, N.N.2
  • 12
    • 0027790554 scopus 로고
    • Effect of wind profile on the instability of wind blowing over water
    • L. C. MORLAND AND P. N. SAFFMAN, Effect of wind profile on the instability of wind blowing over water, J. Fluid Mech., 252 (1993), pp. 383-398.
    • (1993) J. Fluid Mech. , vol.252 , pp. 383-398
    • Morland, L.C.1    Saffman, P.N.2
  • 13
    • 0347036717 scopus 로고
    • Hopf bifurcation in two component flow
    • M. RENARDY AND D. D. JOSEPH, Hopf bifurcation in two component flow, SIAM J. Math. Anal., 17 (1986), pp. 894-910.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 894-910
    • Renardy, M.1    Joseph, D.D.2
  • 15
    • 0346406645 scopus 로고
    • The solvability of the problem concerning the evolution of an isolated volume of viscous incompressible capillary fluid
    • V. A. SOLONNIKOV, The solvability of the problem concerning the evolution of an isolated volume of viscous incompressible capillary fluid, J. Soviet Math., 32 (1986), pp. 223-228.
    • (1986) J. Soviet Math. , vol.32 , pp. 223-228
    • Solonnikov, V.A.1
  • 16
    • 0000375589 scopus 로고
    • On a boundary value problem for a stationary system of the Navier-Stokes equations
    • V. A. SOLONNIKOV AND V. SKADILOV, On a boundary value problem for a stationary system of the Navier-Stokes equations, Proc. Steklov Inst. Math., 125 (1973), pp. 186-199.
    • (1973) Proc. Steklov Inst. Math. , vol.125 , pp. 186-199
    • Solonnikov, V.A.1    Skadilov, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.