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Volumn 13, Issue 1, 2011, Pages 89-93

On hydrostatic free surface problems

Author keywords

Free surface flow; Hydrostatic approximation; Well posedness

Indexed keywords

CROSS SECTION; FREE SURFACE PROBLEMS; FREE SURFACES; FREE-SURFACE FLOW; HORIZONTAL VELOCITY; HYDROSTATIC APPROXIMATIONS; WELL POSEDNESS;

EID: 84856249071     PISSN: 14226928     EISSN: 14226952     Source Type: Journal    
DOI: 10.1007/s00021-009-0002-5     Document Type: Article
Times cited : (6)

References (13)
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    • Brenier, Y.: Remarks on the derivation of the hydrostatic Euler equations. Bull. Sci. Math. 127, 585-595 (2003) (Pubitemid 37076602)
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  • 4
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    • Blowup of solutions of the unsteady Prandtl's equation
    • E, W., Engquist, B.: Blowup of solutions of the unsteady Prandtl's equation. Comm. Pure Appl. Math. 50, 1287-1293 (1997)
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 1287-1293
    • Engquist, B.E.W.1
  • 5
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    • On the derivation of homogeneous hydrostatic equations
    • Grenier, E.: On the derivation of homogeneous hydrostatic equations. Math. Model. Numer. Anal. 33, 865-970 (1999)
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    • On the nonlinear instability of Euler and Prandtl equations
    • Grenier, E.: On the nonlinear instability of Euler and Prandtl equations. Comm. Pure Appl. Math. 53, 1067-1091 (2000)
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 1067-1091
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  • 7
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    • Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations
    • Hong, L., Hunter, J.K.: Singularity formation and instability in the unsteady inviscid and viscous Prandtl equations. Comm. Math. Sci. 1, 293-316 (2003)
    • (2003) Comm. Math. Sci. , vol.1 , pp. 293-316
    • Hong, L.1    Hunter, J.K.2
  • 10
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    • On the mathematics theory of boundary layer for an unsteady flow of incompressible fluid
    • Oleinik, O.A.: On the mathematics theory of boundary layer for an unsteady flow of incompressible fluid. J. Appl. Math. Mech. (PMM) 30, 951-974 (1966)
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    • Ill-posedness of the hydrostatic Euler and Navier-Stokes equations
    • in press
    • Renardy, M.: Ill-posedness of the hydrostatic Euler and Navier-Stokes equations. Arch. Rat. Mech. Anal. (in press)
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  • 12
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    • On the global existence of solutions to the Prandtl's system
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    • Xin, Z., Zhang, L.: On the global existence of solutions to the Prandtl's system. Adv. Math. 87, 88-133 (2004) (Pubitemid 38074355)
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    • Xin, Z.1    Zhang, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.