Publications

Publications

[1]

R.C. Young. An Extension of Glimm's Method to Third Order in Wave Interactions. PhD thesis, U.C. Davis, 1991.

[2]

Robin Young. Sup-norm stability for Glimm's scheme. Comm. Pure Appl. Math., 46:903-948, 1993.

[3]

Robin Young. On elementary interactions for hyperbolic conservation laws. Unpublished note, 29 pages, available at
http://www.math.umass.edu/~young/Research/misc/elem.pdf, 1993.

[4]

B. Temple and R. Young. The large time stability of sound waves. Comm. Math. Phys., 179:417-466, 1996.

[5]

B. Temple and R. Young. The large time existence of periodic solutions for the compressible Euler equations. Matematica Contemporânea, 11:171-190, 1996.

[6]

B. Temple and R. Young. Solutions to the Euler equations with large data. In Hyperbolic Problems: Theory, Numerics, Applications. World Scientific, 1996.

[7]

J. Glimm, J. Grove, X-L. Li, R. Young, Y. Zeng, and Q. Zhang. Front Tracking: A Parallelized Approach for Internal Boundaries and Interfaces, volume 1041 of Lecture Notes in Computer Science, pages 257-266. 1996.

[8]

Robin Young, James Glimm, and Brian Boston. Proceedings of the Fifth International Workshop on the Physics of Compressible Turbulent Mixing. World Scientific Press, 1996.

[9]

Robin Young. Exact solutions to degenerate conservation laws. SIAM J. Math. Anal., 30:537-558, 1999.

[10]

Robin Young. Periodic solutions for conservation laws. Contemp. Math., 255:239-256, 2000.

[11]

Robin Young. Sustained solutions for conservation laws. Comm. PDE, 26:1-32, 2001.

[12]

Robin Young. The p-system I: The Riemann problem. Contemp. Math., 301:219-234, 2002.

[13]

Robin Young. The p-system II: The vacuum. In R. Picard, M. Reissig, and W. Zajaczkowski, editors, Evolution Equations, pages 237-252, Warsaw, 2001. Banach Center.

[14]

Robin Young. Wave interactions in nonlinear strings, I. In E.F. Toro, editor, Godunov Methods, Theory and Applications, pages 1065-1071. Kluwer Academic, 2001.

[15]

Robin Young. Wave interactions in nonlinear strings, II. In Heinrich Freistühler and Gerald Warneke, editors, Eighth Int'l Conference on Hyperbolic Problems: Theory, Numerics, Applications, pages 931-939. Birkhäuser, 2001.

[16]

Robin Young. Wave interactions in nonlinear elastic strings. Arch. Rat. Mech. Anal., 161:65-92, 2002.

[17]

Robin Young. Nonstrictly hyperbolic waves in elasticity. J. Diff. Eq., 188:80-109, 2003.

[18]

Robin Young. Isentropic gas dynamics with large data. In Thomas Hou and Eitan Tadmor, editors, Hyperbolic Problems: Theory, Numerics, Applications, pages 929-939. Springer, 2003.

[19]

Robin Young. Review of "Nonlinear hyperbolic waves in multi-dimensions", by Phoolan Prasad. SIAM Review, 45:162-164, 2003.

[20]

Robin Young. Blowup of solutions and boundary instabilities in nonlinear hyperbolic equations. Comm. Math. Sci., 2:269-292, 2003.

[21]

Robin Young. Blowup in hyperbolic conservation laws. Contemp. Math., 327:379-387, 2003.

[22]

H.K. Jenssen and R.C. Young. Gradient driven and singular flux blowup of smooth solutions to hyperbolic systems of conservation laws. J. Hyp. Diff. Eq., 1:627-641, 2004.

[23]

Robin Young and Walter Szeliga. Blowup with small BV data in hyperbolic conservation laws. Arch. Rat. Mech. Anal., 179:31-54, 2006.

[24]

W. Domanski and R. Young. Interactions of plane waves in nonlinear elasticity. Submitted, 27 pages, available at
http://www.math.umass.edu/~young/Research/misc/domanski.pdf, 2005.

[25]

W. Domanski and R. Young. Interaction coefficients for 3-D conservation laws. In preparation.

[26]

Robin Young. Global wave interactions in isentropic gas dynamics. Submitted, 47 pages, available at
http://www.math.ntnu.no/conservation/2008/032.html, 2008.

[27]

Blake Temple and Robin Young. A paradigm for time-periodic sound wave propagation in the compressible Euler equations. Submitted, 26 pages, available at
http://www.math.ntnu.no/conservation/2008/033.html, 2008.

[28]

Blake Temple and Robin Young. Time-periodic linearized solutions of the compressible Euler equations and a problem of small divisors. Submitted, 54 pages, available at
http://www.math.ntnu.no/conservation/2008/034.html, 2008.

[29]

Blake Temple and Robin Young. A Liapunov-Schmidt reduction for time-periodic solutions of the compressible Euler equations. Submitted, 40 pages, available at
http://www.math.ntnu.no/conservation/2008/035.html, 2008.

[30]

Robin Young. The vacuum in isentropic gas dynamics. In preparation, 2008.

[31]

Robin Young. Modified front tracking for isentropic gas dynamics. In preparation, 2008.

Publications