Subcritical flows from beneath a shield

  • V. I. Nalimov


The problem of a two-dimensional stationary flow of an ideal incompressible heavy vortex-free liquid that flows from beneath a shield is studied. The bottom is considered smooth and horizontal, and the flow is assumed to be subcritical. The existence of a solution that is different from a uniform flow is proved in an exact formulation. It is shown that the solution behaves like a Nekrasov wave at infinity.


Space Versus Orthogonality Condition Composite Function Convolution Operator Subcritical Flow 
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  1. 1.
    J. J. Stoker,Water Waves. The Mathematical Theory with Applications Wiley, New York (1992).MATHGoogle Scholar
  2. 2.
    V. I. Nalimov, “Supercritical flows from beneath a shield,”Prikl. Mekh. Tekh. Fiz.,30, No. 2, 77–81. (1989).MathSciNetGoogle Scholar
  3. 3.
    D. V. Maklakov, “Existence of a solution to the problem of a succritical flow past a vortex,” in:Some Applications of Functional Analysis to Problems of Mathematical Physics (Collected scientific papers) [in Russian], Inst. of Math., Sib. Div., Acad. of Sci. of the USSR (1990), pp. 89–102.Google Scholar
  4. 4.
    L. Hoermander,Lectures on Nonlinear Hyperbolic Differential Equations, Springer, Paris (1997).MATHGoogle Scholar
  5. 5.
    L. Bers, F. John, and M. Schechter, “Partial differential equations,” in:Proc. of the Summer Seminar (Boulder, Colorado, 1957), John Wiley and Sons, New York-London-Sydney (1964).Google Scholar
  6. 6.
    V. I. Nalimov, “Pseudodifferential operators with analytic symbols,”Sib. Mat. Zh.,38, No. 3, 627–637 (1997).MATHMathSciNetGoogle Scholar

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© Plenum Publishing Corporation 1998

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  • V. I. Nalimov

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