Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615440 | Journal of Mathematical Analysis and Applications | 2015 | 16 Pages |
Abstract
In this paper we will prove existence, uniqueness and regularity of a classical solution to a mixed boundary value problem for Chaplygin's hodograph equation, which is degenerate elliptic on a part of the boundary. This problem is derived from the study of detached bow shock ahead of a straight ramp in uniform supersonic flows in the hodograph plane. The proof depends on Perron's method and some techniques from linear elliptic equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Li Liu, Meng Xu, Hairong Yuan,