Fundamental solutions for ideal fluids in uniform motion
Author:
Lazăr Dragoş
Journal:
Quart. Appl. Math. 36 (1979), 401-409
MSC:
Primary 76B99; Secondary 35Q99
DOI:
https://doi.org/10.1090/qam/520122
MathSciNet review:
520122
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Abstract: In this paper the perturbations produced by mass, momentum and energy sources in the uniform flow of an ideal fluid are determined. The case of instantaneous sources is considered. The matrix solutions thus determined are by definition the fundamental matrices of the systems of equations of fluid mechanics. As an application, the perturbations caused by sources acting permanently for $t > 0$ as well as the perturbations produced by sources moving along the direction of the free flow or perpendicular to this direction are determined.
L. Dragos, Fundamental solutions in fluid mechanics, ZAMP 1978
L. Dragos, La matrice fondamentale pour les équations des fluides idéaux, J. Mécanique 1978
- Lazăr Dragoş, Solutions fondamentales dans la mécanique des fluides visqueux en mouvement uniforme, Rev. Roumaine Math. Pures Appl. 24 (1979), no. 9, 1299–1311 (French). MR 555068
- L. Dragoş, Fundamental solutions in thermoelasticity, Acta Mech. 32 (1979), no. 1-3, 197–203. MR 534912, DOI https://doi.org/10.1007/BF01176145
- Ivar Stakgold, Boundary value problems of mathematical physics. Vol. II, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1968. MR 0243183
E. Erdelyí, (ed.), Tables of integral transforms, McGraw-Hill, 1954
L. Dragos, Fundamental solutions in fluid mechanics, ZAMP 1978
L. Dragos, La matrice fondamentale pour les équations des fluides idéaux, J. Mécanique 1978
L. Dragos, Solutions fondamentales dans la mécanique des fluides visqueux en mouvement uniforme, Rev. Roum. Math. Pures et Appl. 1979, No. 1.
L. Dragos, Fundamental solutions in thermoelasticity, Acta Mechanica 1978
I. Stakgold, Boundary value problems of mathematical physics, Vol. II, MacMillan, N.Y. 1968
E. Erdelyí, (ed.), Tables of integral transforms, McGraw-Hill, 1954
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Article copyright:
© Copyright 1979
American Mathematical Society
