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Asymptotic eigenfunctions and generalized eigenfunctions of an operator related to wave motions of a fluid over an elastic slightly nonflat bottom. (English. Russian original) Zbl 0856.76019
Math. Notes 58, No. 6, 1336-1340 (1995); translation from Mat. Zametki 58, No. 6, 917-922 (1995).
MSC:
76D33 Waves for incompressible viscous fluids
47N99 Miscellaneous applications of operator theory
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Keywords:
Cauchy problem
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References:
[1] S. Yu. Dobrokhotov, O. L. Tolstova, and I. Yu. Chudinovich,Mat. Zametki [Math. Notes],54, No. 6, 33–55 (1993).
[2] A. Fragela,Differentsial’nye Uravneniya [Differential Equations],25, No. 8, 1417–1427 (1989).
[3] S. Yu. Dobrokhotov and O. L. Tolstova,Mat. Zametki [Math. Notes],47, No. 5, 148–151 (1990).
[4] M. Taylor, ”Rayleigh waves in linear elasticity as a propagation of singularities phenomenon,” in:Proc. Conf. on P.D.E. and Geometry, Marcel Dekker, New York-Basel (1979). · Zbl 0432.73021
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