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초록· 키워드
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We establish the existence of weak solutions in an infinite subsonic channel in the self-similar plane to the two-dimensional Burgers system. We consider a boundary value problem in a fixed domain such that a part of the domain is degenerate, and the system becomes a second order elliptic equation in the channel. The problem is motivated by the study of the weak shock reflection problem and 2-D Riemann problems. The two-dimensional Burgers system is obtained through an asymptotic reduction of the 2-D full Euler equations to study weak shock reflection by a ramp.
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참고문헌 (10)
참고문헌 신청
C. S. Morawetz / 1994 / Potential theory for regular and Mach reflection of a shock at a wedge / Comm. Pure Appl. Math. 47 (5) : 593 ~ 624
E. Tabak / 1994 / Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection / Phys. Fluids A 60 (5) : 1874 ~ 1892
K. Song / 2003 / A pressure-gradient system on non-smooth domains / Comm. Partial Differential Equations 28 (1) : 199 ~ 221
L. Evans / 1990 / Weak Convergence Methods for Nonlinear Partial Differential Equations / the American Mathematical Society
M. Brio / 1992 / Mach reflection for the two-dimensional Burgers equation / Physica D 60 (1) : 194 ~ 207
E. Tabak / 1994 / Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection / Phys. Fluids A 60 (5) : 1874 ~ 1892
K. Song / 2003 / A pressure-gradient system on non-smooth domains / Comm. Partial Differential Equations 28 (1) : 199 ~ 221
L. Evans / 1990 / Weak Convergence Methods for Nonlinear Partial Differential Equations / the American Mathematical Society
M. Brio / 1992 / Mach reflection for the two-dimensional Burgers equation / Physica D 60 (1) : 194 ~ 207
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