2018
DOI: 10.2307/j.ctt1jktq4b
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The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures

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Cited by 35 publications
(174 citation statements)
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“…In most papers concerning the shock reflection problem, they only considered the supersonic reflection case. Recently, Chen-Feldman [9] and Rigby [27] solved the whole regular shock reflection problem, including subsonic reflection for potential flow and nonlinear wave equations, respectively. In this paper we solve the regular shock reflection problem for the pressure gradient system.…”
Section: 2mentioning
confidence: 99%
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“…In most papers concerning the shock reflection problem, they only considered the supersonic reflection case. Recently, Chen-Feldman [9] and Rigby [27] solved the whole regular shock reflection problem, including subsonic reflection for potential flow and nonlinear wave equations, respectively. In this paper we solve the regular shock reflection problem for the pressure gradient system.…”
Section: 2mentioning
confidence: 99%
“…We will make a regularity estimate for ϕ = p 2 − p and the shock curve {y = f (x)} near Γ sonic . Since equation (3.15) degenerates on Γ sonic , we will use the parabolic Hölder norms following [9,27]. For α ∈ (0, 1), denote the parabolic distance…”
Section: 5mentioning
confidence: 99%
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