References
Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 6, 355–370 (1960).
Markovitz, H., & B. D. Coleman, Adv. Appl. Mechanics 8, 69–101 (1964).
Ting, T. W., Arch. Rational Mech. Anal. 14, 1–26 (1963).
Markovitz, H., & B. D. Coleman, Phys. Fluids 7, 833–841 (1964).
Truesdell, C., Phys. Fluids 7, 1134–1142 (1964).
Stokes, G. G., Mathematical and Physical Papers, Vol. III. Cambridge: Cambridge University Press 1901.
Lamb, H., Hydrodynamics. Cambridge: Cambridge University Press 1895.
Coleman, B. D., & H. Markovitz, J. Appl. Phys. 35, 1–9 (1964).
Markovitz, H., & D. R. Brown, Trans. Soc. Rheology 7, 137–154 (1963).
Markovitz, H., Proc. Fourth Intern. Cong. Rheology (1963), in press.
Serrin, J., in: Nonlinear Problems, Publication No. 8 of the Mathematics Research Center, U.S.Army, pp. 69–98. Madison: University of Wisconsin Press 1963.
Hopf, E., Math. Nachrichten 4, 213–231 (1951).
Coleman, B. D., Arch. Rational Mech. Anal. 9, 273–300 (1962).
Courant, R., & D. Hilbert, Methods of Mathematical Physics, 1st English edition, Vol. 1. New York: Interscience 1953.
Truesdell, C., U. S.Naval Res. Lab. Rep. No. P-3553 (1949) J. Math. pures appl. (9) 30, 111–158 (1951).
Truesdell, C., J. Rational Mech. Anal. 1, 125–300 (1952).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Coleman, B.D., Duffin, R.J. & Mizel, V.J. Instability, uniqueness, and nonexistence theorems for the equation ut=uxx−uxtx on a strip. Arch. Rational Mech. Anal. 19, 100–116 (1965). https://doi.org/10.1007/BF00282277
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00282277