메뉴 건너뛰기




Volumn 49, Issue 1, 1998, Pages 1-30

On the existence of convex classical solutions to a generalized Prandtl-Batchelor free boundary problem

Author keywords

Batchelor flow; Convex vorticity localization; Fluid dynamics; Free boundary problem

Indexed keywords


EID: 0032338155     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050080     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 0040630506 scopus 로고
    • Heat-flow inequalities with application to heat-flow optimization problems
    • A. Acker, Heat-flow inequalities with application to heat-flow optimization problems, SIAM J. Math. Anal. 8 (1977), 604-618.
    • (1977) SIAM J. Math. Anal. , vol.8 , pp. 604-618
    • Acker, A.1
  • 2
    • 0011545786 scopus 로고
    • Free boundary optimization - A constructive, iterative method
    • A. Acker, Free boundary optimization - a constructive, iterative method, J. Appl. Math. Phys. (ZAMP) 30 (1979), 885-900.
    • (1979) J. Appl. Math. Phys. (ZAMP) , vol.30 , pp. 885-900
    • Acker, A.1
  • 3
    • 0019397899 scopus 로고
    • Interior free boundary problems for the Laplace equation
    • A. Acker, Interior free boundary problems for the Laplace equation, Arch. Rat'l. Mech. Anal. 75 (1981), 157-168.
    • (1981) Arch. Rat'l. Mech. Anal. , vol.75 , pp. 157-168
    • Acker, A.1
  • 4
    • 33646904848 scopus 로고
    • On the multilayer fluid problem: Regularity, uniqueness, convexity, and successive approximation of solutions
    • A. Acker, On the multilayer fluid problem: regularity, uniqueness, convexity, and successive approximation of solutions, Comm. Part. Diff. Eqs. 16 (1991), 647-666.
    • (1991) Comm. Part. Diff. Eqs. , vol.16 , pp. 647-666
    • Acker, A.1
  • 5
    • 0040037329 scopus 로고
    • Convex free boundaries and the operator method
    • (A. Friedman and J. Spruck, eds.). IMA Volumes in Mathematics and its Applications #53, Springer Verlag, Berlin
    • A. Acker, Convex free boundaries and the operator method, in: Variational Problems (A. Friedman and J. Spruck, eds.). IMA Volumes in Mathematics and its Applications #53, Springer Verlag, Berlin 1993.
    • (1993) Variational Problems
    • Acker, A.1
  • 6
    • 84972556453 scopus 로고
    • On the existence of convex classical solutions to multilayer fluid problems in arbitrary space dimensions
    • A. Acker, On the existence of convex classical solutions to multilayer fluid problems in arbitrary space dimensions, Pacific J. Math. 162 (1994), 201-231.
    • (1994) Pacific J. Math. , vol.162 , pp. 201-231
    • Acker, A.1
  • 7
    • 0038852414 scopus 로고
    • Free boundary problem with generalized joining conditions-convexity and successive approximation of solutions
    • Comparison Methods and Stability Theory, ed. by Xinzhi Liu and David Siegel. Marcel Dekker, New York
    • A. Acker, Free boundary problem with generalized joining conditions-convexity and successive approximation of solutions, in: Comparison Methods and Stability Theory, ed. by Xinzhi Liu and David Siegel. Lect. Notes in Pure and Applied Mathematics 162. Marcel Dekker, New York 1994.
    • (1994) Lect. Notes in Pure and Applied Mathematics , vol.162
    • Acker, A.1
  • 8
    • 0031126936 scopus 로고    scopus 로고
    • A trial free boundary method for computing Batchelor flows
    • A. Acker, E. Kadakal, K. Miller, A trial free boundary method for computing Batchelor flows, J. Appl. Compu. Math. 80 (1997), 31-48.
    • (1997) J. Appl. Compu. Math. , vol.80 , pp. 31-48
    • Acker, A.1    Kadakal, E.2    Miller, K.3
  • 9
    • 84967774571 scopus 로고
    • Variational problems with two fluid phases and their free boundaries
    • H. VV. Alt, L. A. Caffarelli and A. Friedman: Variational problems with two fluid phases and their free boundaries, Trans. Amer. Math. Soc. 282 (1984), 431-461.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 431-461
    • Alt, H.W.1    Caffarelli, L.A.2    Friedman, A.3
  • 11
    • 84974023501 scopus 로고
    • On steady laminar flow with dosed streamlines at large Reynolds number
    • G. K. Batchelor, On steady laminar flow with dosed streamlines at large Reynolds number, J. Fluid Mech. 1 (1956), 177-190.
    • (1956) J. Fluid Mech. , vol.1 , pp. 177-190
    • Batchelor, G.K.1
  • 12
    • 84974057839 scopus 로고
    • A proposal concerning laminar wakes behind bluff bodies at large Reynolds number
    • G. K. Batchelor, A proposal concerning laminar wakes behind bluff bodies at large Reynolds number, J. Fluid Mech. 1 (1956), 388-398.
    • (1956) J. Fluid Mech. , vol.1 , pp. 388-398
    • Batchelor, G.K.1
  • 13
    • 84972581369 scopus 로고
    • Convexity of solutions of semilinear elliptic equations
    • L. A. Caffarelli and A. Friedman, Convexity of solutions of semilinear elliptic equations, Duke Math. J. 52 (1985), 431-456.
    • (1985) Duke Math. J. , vol.52 , pp. 431-456
    • Caffarelli, L.A.1    Friedman, A.2
  • 14
    • 84963186061 scopus 로고
    • Convexity properties of solutions to some classical variational problems
    • L. A. Caffarelli and J. Spruck, Convexity properties of solutions to some classical variational problems, Comm. Part. Diff. Eqs. 7 (1982), 1337-1379.
    • (1982) Comm. Part. Diff. Eqs. , vol.7 , pp. 1337-1379
    • Caffarelli, L.A.1    Spruck, J.2
  • 16
    • 0039445218 scopus 로고
    • Constant vorticity Riabouchinsky flows from a variational principle
    • T. K. DeLillo, A. R. Elcrat, and K. G. Miller, Constant vorticity Riabouchinsky flows from a variational principle, J. Appl. Math. Phys. (ZAMP) 41 (1990), 755-765.
    • (1990) J. Appl. Math. Phys. (ZAMP) , vol.41 , pp. 755-765
    • DeLillo, T.K.1    Elcrat, A.R.2    Miller, K.G.3
  • 17
    • 0000680321 scopus 로고
    • Variational formulas on Lipschitz domains
    • A. R. Elcrat and K. G. Miller, Variational formulas on Lipschitz domains, Trans. Amer. Math. Soc. 347 (1995), 2669-2678.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 2669-2678
    • Elcrat, A.R.1    Miller, K.G.2
  • 19
    • 51049110596 scopus 로고
    • When are solutions of nonlinear elliptic boundary value problems convex?
    • B. Kawohl, When are solutions of nonlinear elliptic boundary value problems convex? Comm. in Part. Diff. Eqs. 10 (1985), 1213-1225.
    • (1985) Comm. in Part. Diff. Eqs. , vol.10 , pp. 1213-1225
    • Kawohl, B.1
  • 20
    • 0000292919 scopus 로고
    • Power concavity and boundary value problems
    • A. Kennington, Power concavity and boundary value problems, Indiana U. Math. J. 34 (1985), 687-704.
    • (1985) Indiana U. Math. J. , vol.34 , pp. 687-704
    • Kennington, A.1
  • 21
    • 0004108634 scopus 로고
    • Capillary surface convexity above convex domains
    • N. J. Korevaar, Capillary surface convexity above convex domains, Indiana U. Math. J. 32 (1983), 73-81.
    • (1983) Indiana U. Math. J. , vol.32 , pp. 73-81
    • Korevaar, N.J.1
  • 22
    • 0002355785 scopus 로고
    • Convex solutions to certain elliptic p.d.e.'s have constant rank hessians
    • N. J. Korevaar and J. L. Lewis, Convex solutions to certain elliptic p.d.e.'s have constant rank hessians, Arch. Rat'l. Mech. Anal. 97 (1987), 19-32.
    • (1987) Arch. Rat'l. Mech. Anal. , vol.97 , pp. 19-32
    • Korevaar, N.J.1    Lewis, J.L.2
  • 23
    • 0003449560 scopus 로고
    • Addison-Wesley Publ. Co., New York
    • S. Lang: Analysis II, Addison-Wesley Publ. Co., New York 1969.
    • (1969) Analysis II
    • Lang, S.1
  • 24
    • 0000215269 scopus 로고
    • 1 nonlinearities. Part I: An approximating free boundary problem
    • 1 nonlinearities. Part I: An approximating free boundary problem, Indiana U. Math. J. 39 (1990), 1081-1114.
    • (1990) Indiana U. Math. J. , vol.39 , pp. 1081-1114
    • Laurence, P.1    Stredulinsky, E.2
  • 25
    • 0022440582 scopus 로고
    • Vortex flows in aerodynamics
    • J. H. B. Smith, Vortex flows in aerodynamics, Ann. Rev. Fluid Mech. 18 (1986), 221-242.
    • (1986) Ann. Rev. Fluid Mech. , vol.18 , pp. 221-242
    • Smith, J.H.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.