A nonstandard nonlinear boundary value problem for harmonic functions
Author:
Nima Geffen
Journal:
Quart. Appl. Math. 41 (1983), 289-300
MSC:
Primary 76B05; Secondary 31A25
DOI:
https://doi.org/10.1090/qam/721419
MathSciNet review:
721419
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Abstract: Existence and uniqueness are proved for a nonstandard, nonlinear boundary-value problem for 2-dimensional harmonic functions. The problem models an ideal flow-field, and a few cases of applied interest are considered. Slight generalizations are derived in the appendix.
- K. Y. Fung, H. Sobieczky, and R. Seebass, Shock-free wing design, AIAA J. 18 (1980), no. 10, 1153–1158. MR 586600, DOI https://doi.org/10.2514/3.50865
- P. R. Garabedian, Partial differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0162045
N. Geffen, S Yaniv and F. Loinger, Finite elements for fluidynamics, Final Scientific Report, Grant AFSOR-81-0017, October 1981
W. D. Wedland, E. Stephan and G. C. Hsiao, Math. Meth. in Appl. Sci. I, 265–321 (1979)
K. Y. Fung, H. Sobieczky and R. Seebass, Shock-free wing desing, AIAA J. 18, 1132–1158 (1980)
P. R. Garabedian, Partial differential equations, Wiley, New York, 1964
N. Geffen, S Yaniv and F. Loinger, Finite elements for fluidynamics, Final Scientific Report, Grant AFSOR-81-0017, October 1981
W. D. Wedland, E. Stephan and G. C. Hsiao, Math. Meth. in Appl. Sci. I, 265–321 (1979)
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Article copyright:
© Copyright 1983
American Mathematical Society
