From weak discontinuities to nondissipative shock waves

被引：0

作者：

R. N. Garifullin

B. I. Suleimanov

机构：

[1] Ufa Scientific Center,Institute of Mathematics with Computing Center

[2] Russian Academy of Sciences,undefined

来源：

Journal of Experimental and Theoretical Physics | 2010年 / 110卷

关键词：

Special Solution; Burger Equation; Simultaneous Solution; Weak Discontinuity; Riemann Invariant;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

An analysis is presented of the effect of weak dispersion on transitions from weak to strong discontinuities in inviscid fluid dynamics. In the neighborhoods of transition points, this effect is described by simultaneous solutions to the Korteweg—de Vries equation ut′ + uux″ + uxxx‴ = 0 and fifth-order nonautonomous ordinary differential equations. As x2 + t2 →∞, the asymptotic behavior of these simultaneous solutions in the zone of undamped oscillations is given by quasi-simple wave solutions to Whitham equations of the form ri(t, x) = tli x/t2.

引用

页码：133 / 146

页数：13

共 34 条

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