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On Adiabatic Normal Modes in a Wedge-Shaped Sea. / Fedotov, A. A. .
в: Journal of Mathematical Sciences (United States), Том 243, № 5, 2019, стр. 808–824.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On Adiabatic Normal Modes in a Wedge-Shaped Sea
AU - Fedotov, A. A.
N1 - Fedotov, A.A. On Adiabatic Normal Modes in a Wedge-Shaped Sea. J Math Sci 243, 808–824 (2019). https://doi.org/10.1007/s10958-019-04579-1
PY - 2019
Y1 - 2019
N2 - A two-dimensional problem that is a model for sound propagation in a narrow water wedge near the shore of a sea is studied. A solution to the Helmholtz equation, which is asymptotically a normal wave propagating along “water” wedge to the “shore,” is constructed explicitly. The solution satisfies the Helmholtz equation in the quadrant one side of which is “the surface of the water” and the second is perpendicular to it, starts at the top of the wedge and goes into the “bottom.” Boundary conditions on wedge boundaries and at infinity in the “bottom” are satisfied.
AB - A two-dimensional problem that is a model for sound propagation in a narrow water wedge near the shore of a sea is studied. A solution to the Helmholtz equation, which is asymptotically a normal wave propagating along “water” wedge to the “shore,” is constructed explicitly. The solution satisfies the Helmholtz equation in the quadrant one side of which is “the surface of the water” and the second is perpendicular to it, starts at the top of the wedge and goes into the “bottom.” Boundary conditions on wedge boundaries and at infinity in the “bottom” are satisfied.
UR - http://www.scopus.com/inward/record.url?scp=85075141117&partnerID=8YFLogxK
U2 - 10.1007/s10958-019-04579-1
DO - 10.1007/s10958-019-04579-1
M3 - Article
VL - 243
SP - 808
EP - 824
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 5
ER -
ID: 48793382