caa a22 4500 397499728 CHVBK 20180308164529.0 cr unu---uuuuu 161202e199511 xx s 000 0 eng 10.1093/qjmam/48.4.611 doi (NATIONALLICENCE)oxford-10.1093/qjmam/48.4.611 BURDE G. I. Meteorology Unit, Ben-Gurion University Blaustein Institute for Desert Research, Sede Boker Campus 84993, Israel THE CONSTRUCTION OF SPECIAL EXPLICIT SOLUTIONS OF THE BOUNDARY-LAYER EQUATIONS. UNSTEADY FLOWS [Elektronische Daten] [G. I. BURDE] The generalization of the method for determining special explicit solutions of partial differential equations developed by the author (Q. Jl Mech. appl. Math. 47 (1994) 247-260) is used to derive new explicit solutions of the unsteady two-dimensional boundary-layer equations. The method, as applied to a partial differential equation with three independent variables, reduces the equation to an overdetermined system of ordinary differential equations having explicit solutions, and a joining system of partial differential equations with two independent variables which can easily be solved. The solutions produced by the method contain arbitrary functions of space and time variables which are determined for specific problems by a concrete definition of boundary conditions and/or the external flow form. A comparison of the method with group-theoretic methods for finding special solutions of partial differential equations is discussed. © Oxford University Press Articles nationallicence The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/4(1995-11), 611-633 0033-5614 48:4<611 1995 48 qjmamj https://doi.org/10.1093/qjmam/48.4.611 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/48.4.611 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- BURDE G. I. Meteorology Unit, Ben-Gurion University Blaustein Institute for Desert Research, Sede Boker Campus 84993, Israel NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 48/4(1995-11), 611-633 0033-5614 48:4<611 1995 48 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence SWISSBIB 397245203 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford