Geodesic
On the Boundary Value Problem Arising in the Theory of Internal Waves
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 4, pp. 21-31

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An elliptic boundary value problem, which arises in the theory of stationary waves at the interface between the layers of homogeneous and exponentially stratified fluids, is considered. Solutions estimates are obtained with the help of Fourier transform technique in a special class of functions having exponential decay at infinity.
Keywords: two-layer fluid, exponential stratification, internal waves, elliptic boundary value problem, solution estimates, Green function.
Mots-clés : Fourier transform 
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     author = {K. V. Golosov and N. I. Makarenko},
     title = {On the {Boundary} {Value} {Problem} {Arising} in the {Theory} of {Internal} {Waves}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {21--31},
     publisher = {mathdoc},
     volume = {11},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2011_11_4_a2/}
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K. V. Golosov; N. I. Makarenko. On the Boundary Value Problem Arising in the Theory of Internal Waves. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 4, pp. 21-31. http://geodesic.mathdoc.fr/item/VNGU_2011_11_4_a2/