On the existence and regularity of solutions of a quasilinear mixed equation of Leray-Lions type |
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Authors: | B Michaux J M Rakotoson J Shen |
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Institution: | (1) The Institute for Applied Mathematics and Scientific Computing, Indiana University, 47405 Bloomington, IN, U.S.A. |
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Abstract: | Our aim in this article is to study the existence and regularity of solutions of a quasilinear elliptic-hyperbolic equation. This equation appears in the design of blade cascade profiles. This leads to an inverse problem for designing two-dimensional channels with prescribed velocity distributions along channel walls. The governing equation is obtained by transformation of the physical domain to the plane defined by the streamlines and the potential lines of fluid. We establish an existence and regularity result of solutions for a more general framework which includes our physical problem as a specific example. |
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Keywords: | 35P50 35J20 35J60 35R30 |
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