On wave fronts, and boundary waves

Duff, G. F. D.

doi:10.1002/cpa.3160170205

Cited by 33 publications

(11 citation statements)

References 13 publications

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“…Several authors [2][3][4][5] further generalized and developed the singular surface theory to cover up some complicated cases of real gases. Nariboli and Secrest [6] extended the analysis of Thomas to magnetogasdynamic flows with finite electrical conductivity.…”

Section: Introductionmentioning

confidence: 99%

Effect of Conducting and Radiating Gases on the Growth and Decay of Weak Magnetogasdynamic Waves

Rai¹,

Sisodia²

1992

Acta Phys. Pol. A

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Singular surface theory is applied to study the growth and decay properties of weak magnetogasdynamic discontinuities under the intluences of thermal conduction and the time-dependent radiation field interacting with magnetogasdynamic field with finite electrical conductivity. It is shown that the time-dependent radiation field gives rise to a radiation induced weak wave which is always damped and the magnetogasdynamic waves which break at the wave front if the initial discontinuity is sufficiently strong. The wave front curvature effects on the weak magnetogasdynamic waves are also discussed.

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Section: Introductionmentioning

confidence: 99%

Effect of Conducting and Radiating Gases on the Growth and Decay of Weak Magnetogasdynamic Waves

Rai¹,

Sisodia²

1992

Acta Phys. Pol. A

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“…Singularities of Riemann functions of hyperbolic mixed problems with constant coefficients in a quarter-space have been investigated, for example, by Duff [3], Deakin [2], Matsumura [5] and others. In his pioneering work [3], Duff studied the location and structures of singularities of reflected Riemann functions making use of the stationary phase method.…”

Section: Introductionmentioning

confidence: 99%

“…In his pioneering work [3], Duff studied the location and structures of singularities of reflected Riemann functions making use of the stationary phase method. Deakin [2] treated first order hyperbolic systems by the same method.…”

Section: Introductionmentioning

confidence: 99%

Singularities of the Riemann Functions of Hyperbolic Mixed Problems in a Quarter-Space

Wakabayashi

1975

Publ. Res. Inst. Math. Sci.

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“…3) L 2 (R n ) denoteb the Hilbert bpace of C^-valued square integrable functions on R n with norm (1)(2)(3)(4)(5)(6)(7) Ai(O>;i2 (f)>" •>*»(£) for all real…”

Section: D(a) = {U\vav^u(w)} Defined By Amentioning

confidence: 99%

Asymptotic Behavior at Infinity for Green's Functions of First Order Systems with Characteristics of Nonunlform Multiplicity

Matsumura

1976

Publ. Res. Inst. Math. Sci.

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On wave fronts, and boundary waves

Cited by 33 publications

References 13 publications

Effect of Conducting and Radiating Gases on the Growth and Decay of Weak Magnetogasdynamic Waves

Effect of Conducting and Radiating Gases on the Growth and Decay of Weak Magnetogasdynamic Waves

Singularities of the Riemann Functions of Hyperbolic Mixed Problems in a Quarter-Space

Asymptotic Behavior at Infinity for Green's Functions of First Order Systems with Characteristics of Nonunlform Multiplicity

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