ON THE SOLUTION UNICITY OF NEUMANN TYPE FOR CHAPLYGIN EQUATION
https://doi.org/10.18384/2224-0209-2013-4-670
Abstract
The article deals with the boundary-value problem for mixed type equations with Neumann boundary conditions in a mixed area for the Chaplygin equation. This problem arises in the study of a gas flow around an airfoil. While using the method of auxiliary functions the authors obtain a new uniqueness theorem to solve this problem with the modified Frankl condition for this type of problems without any restrictions other than smoothness on the elliptical part of the border area.
References
1. Сабитов К. Б., Акимов А. А. К теории аналога задачи Неймана для уравнения смешанного типа // Известия вузов. Математика. - 2001. № 10. - С. 73-80.
2. Смирнов М.М. Уравнения смешанного типа. - М.: Наука, 1970. - 304 с.
3. Morawetz C.S. A uniqueness theorem for Francl's problem // Commun. Pure and Appl. Math. - 1954. - № 7. - P. 697-700.
4. Protter M.H. Uniqueness theorems for the Tricomi problem // J. Rational Mech. and Analysis. Part I, 2, 1. - 1953. - P. 107-114.
Review
Views:
174
Email this article 