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Abstract In this paper, for the two-dimensional (2D) steady compressible magnetohydrodynamic equations, we construct a global piecewise smooth solution for a supersonic flow past a wedge with a large bended… Click to show full abstract
Abstract In this paper, for the two-dimensional (2D) steady compressible magnetohydrodynamic equations, we construct a global piecewise smooth solution for a supersonic flow past a wedge with a large bended boundary. The uniform bounds are obtained by using the method of characteristic decompositions. Thus, we present a set of the characteristic decompositions for 2D steady magnetohydrodynamic equations. Then, under the assumption that the incoming flow has a limit speed, we could construct a degenerate solution and treat it as the background solution to obtain the piecewise smooth solution.
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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