On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources

  • L. V. Perova


Propagation of small perturbations in a homogeneous inviscid liquid rotating with a constant angular velocity in the lower half-space is considered. The source of excitation is a plane wave traveling on the free surface of the liquid. The explicit analytical solution to the problem is constructed. Uniqueness and existence theorems are proved. The wave pattern in the liquid at large times is examined.


frequency of the liquid rotation stream function internal waves surface waves 


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  1. 1.
    S. A. Gabov and A. G. Sveshnikov, Linear Problems in the Theory of Time-Dependent Interior Waves (Nauka, Moscow, 1990) [in Russian].Google Scholar
  2. 2.
    S. A. Gabov, New Problems in the Mathematical Theory of Waves (Nauka, Moscow, 1998) [in Russian].Google Scholar
  3. 3.
    L. V. Perova, Yu. D. Pletner, A. G. Sveshnikov, and M. O. Korpusov, “Long-Time Asymptotics of the Initial-Boundary Value Problem for the Two-Dimensional Sobolev Equation,” Differ. Uravn. 35(10), 1421–1425 (1999).MathSciNetGoogle Scholar
  4. 4.
    L. V. Perova, Yu. D. Pletner, and A. G. Sveshnikov, “Oscillations in Stratified Rotating Fluid Excited by a Plane Traveling Wave on the Bottom,” Zh. Vychisl. Mat. Fiz. 40, 136–143 (2000) [Comput. Math. Math. Phys. 40, 131–138 (2000)].MathSciNetGoogle Scholar
  5. 5.
    A. B. Al’shin and L. V. Perova, “Oscillations in Stratified Rotating Fluid Induced by a Wave Traveling along the Inclined Bottom,” Zh. Vychisl. Mat. Fiz. 40, 473–482 (2000) [Comput. Math. Math. Phys. 40, 450–459 (2000)].MathSciNetGoogle Scholar
  6. 6.
    L. V. Perova, “Oscillations of Semi-Infinite Stratified Fluid with Its Free Surface Excited by Moving Sources,” Zh. Vychisl. Mat. Mat. Fiz. 45, 1107–1124 (2005) [Comput. Math. Math. Phys. 45, 1068–1085 (2005)].zbMATHMathSciNetGoogle Scholar
  7. 7.
    A. G. Sveshnikov and A. N. Tikhonov, Complex Analysis (Nauka, Moscow, 1991) [in Russian].Google Scholar
  8. 8.
    S. A. Gabov and A. G. Sveshnikov, Problems in the Dynamics of Stratified Fluids (Nauka, Moscow, 1986) [in Russian].Google Scholar
  9. 9.
    M. F. Fedoryuk, Asymptotics: Integrals and Series (Nauka, Moscow, 1987) [in Russian].Google Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2006

Authors and Affiliations

  • L. V. Perova
    • 1
  1. 1.Faculty of PhysicsMoscow State UniversityLeninskie gory, MoscowRussia

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