Christian Klingenberg

Nonlinear partial differential equations, especially conservation laws
fluid dynamics, especially gas dynamics.
astrophysical applications
kinetic modelling

C. Klingenberg, D.K. Mao: The total variation decreasing property of a conservative front tracking technique, Math. Comput. Modelling, 20, No. 10/11 (1994)
C. Klingenberg, N.H. Risebro: Convex conservation laws with discontinuous coefficients: existence, uniqueness, asymptotic behaviour, Comm. P.D.E., vol. 20, no. 10/11 (1995)
C. Klingenberg, Y. Lu, The Cauchy problem for conservation laws with relaxation terms, Roy. Soc. Edinburgh,series A, vol. 126 (1996)
C. Klingenberg, Y. Lu: Existence of solutions to resonant systems of conservation laws, Commm. Math. Physics, vol. 187, no. 2 (1997)
Y. Lu, C. Klingenberg, The Cauchy problem for conservation laws with three equations, Journ. Math. Anal. Appl., vol. 202 (1996)
C. Klingenberg, Y. Lu, The vacuum case in Diperna's paper, Journ. Math. Anal. Appl., vol. 225 (1998)
C. Klingenberg, N.H. Risebro, Stability of a resonant system of conservation laws modeling polymer flow with gravitation, erscheint in Quart. Appl. Math., (1999)
C. Klingenberg, Y. Lu: The relaxation limit for systems of Broadwell type, Differential and Integral Equations, to appear (1999)

California Institute of Technology
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