메뉴 건너뛰기




Volumn 10, Issue 1, 1998, Pages 206-222

Caustics of weak shock waves

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; GEOMETRICAL OPTICS; NONLINEAR EQUATIONS; REYNOLDS NUMBER; VISCOSITY;

EID: 0031863918     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869559     Document Type: Article
Times cited : (17)

References (16)
  • 1
    • 84980075530 scopus 로고
    • Boundary layer problems in diffraction theory
    • R. N. Buchal and J. B. Keller, "Boundary layer problems in diffraction theory," Commun. Pure Appl. Math. XIII, 85 (1960).
    • (1960) Commun. Pure Appl. Math. , vol.13 , pp. 85
    • Buchal, R.N.1    Keller, J.B.2
  • 2
    • 84981755544 scopus 로고
    • Uniform asymptotic expansions at a caustic
    • D. Ludwig, "Uniform asymptotic expansions at a caustic," Commun. Pure Appl. Math. XIX, 215 (1966).
    • (1966) Commun. Pure Appl. Math. , vol.19 , pp. 215
    • Ludwig, D.1
  • 3
    • 0023422783 scopus 로고
    • Caustics of Nonlinear Waves
    • J. K. Hunter and J. B. Keller, "Caustics of Nonlinear Waves," Wave Motion 9, 429 (1987).
    • (1987) Wave Motion , vol.9 , pp. 429
    • Hunter, J.K.1    Keller, J.B.2
  • 4
  • 5
    • 33845298703 scopus 로고
    • Mach reflection for the two-dimensional Burgers equation
    • M. Brio and J. K. Hunter, "Mach reflection for the two-dimensional Burgers equation," Physica D 60, 194 (1992).
    • (1992) Physica D , vol.60 , pp. 194
    • Brio, M.1    Hunter, J.K.2
  • 6
    • 0025416962 scopus 로고
    • The von Neumann paradox for the diffraction of weak shock waves
    • P. Colella and L. F. Henderson, "The von Neumann paradox for the diffraction of weak shock waves," J. Fluid Mech. 213, 71 (1990)
    • (1990) J. Fluid Mech. , vol.213 , pp. 71
    • Colella, P.1    Henderson, L.F.2
  • 7
    • 85034279823 scopus 로고    scopus 로고
    • Riemann Problems for the two-dimensional unsteady transonic small disturbance equation
    • in press
    • S. C̃anić and B. L. Keyfitz, "Riemann Problems for the two-dimensional unsteady transonic small disturbance equation." SIAM J. Appl. Math (in press).
    • SIAM J. Appl. Math
    • C̃anić, S.1    Keyfitz, B.L.2
  • 8
    • 11544276245 scopus 로고
    • Potential theory for regular and Mach reflection of a shock at a wedge
    • C. S. Morawetz, "Potential theory for regular and Mach reflection of a shock at a wedge," Commun. Pure Appl. Math. 45, 1 (1993).
    • (1993) Commun. Pure Appl. Math. , vol.45 , pp. 1
    • Morawetz, C.S.1
  • 9
    • 0028083681 scopus 로고
    • Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection
    • E. G. Tabak and R. R. Rosales, "Focusing of weak shock waves and the von Neumann paradox of oblique shock reflection," Phys. Fluids 6, 1874 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 1874
    • Tabak, E.G.1    Rosales, R.R.2
  • 10
    • 84966222207 scopus 로고
    • Rays, waves and asymptotics
    • J. B. Keller, "Rays, waves and asymptotics," Bull. Am. Math. Soc. 84, 727 (1978).
    • (1978) Bull. Am. Math. Soc. , vol.84 , pp. 727
    • Keller, J.B.1
  • 11
    • 7244234992 scopus 로고
    • Reflection at a laminar boundary layer of a weak steady disturbance to a supersonic stream, neglecting viscosity and heat conduction
    • M. J. Lighthill, "Reflection at a laminar boundary layer of a weak steady disturbance to a supersonic stream, neglecting viscosity and heat conduction," Q. J. Mech Appl Math. III, 303-325 (1950).
    • (1950) Q. J. Mech Appl Math. , vol.3 , pp. 303-325
    • Lighthill, M.J.1
  • 13
    • 0000600899 scopus 로고
    • Ondes asymptotiques et approachées pour des systèmes d'équations aux dérivées partielles non linéaires
    • Y. Choquet-Bruhat, "Ondes asymptotiques et approachées pour des systèmes d'équations aux dérivées partielles non linéaires," J. Math. Pures Appl. 48, 117 (1969).
    • (1969) J. Math. Pures Appl. , vol.48 , pp. 117
    • Choquet-Bruhat, Y.1
  • 16
    • 0022917172 scopus 로고
    • Resonantly interacting weakly nonlinear hyperbolic waves II: Several space variables
    • J. K. Hunter, A. Majda, and R. R. Resales, "Resonantly interacting weakly nonlinear hyperbolic waves II: Several space variables," Stud. Appl. Math. 75, 187 (1986).
    • (1986) Stud. Appl. Math. , vol.75 , pp. 187
    • Hunter, J.K.1    Majda, A.2    Resales, R.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.