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Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip. (English) Zbl 0292.35016

MSC:
35G15 Boundary value problems for linear higher-order PDEs
35B35 Stability in context of PDEs
35B45 A priori estimates in context of PDEs
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[1] Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 6, 355–370 (1960). · Zbl 0097.16403
[2] Markovitz, H., & B. D. Coleman, Adv. Appl. Mechanics 8, 69–101 (1964). · Zbl 0136.45104
[3] Ting, T. W., Arch. Rational Mech. Anal. 14, 1–26 (1963). · Zbl 0139.20105
[4] Markovitz, H., & B. D. Coleman, Phys. Fluids 7, 833–841 (1964). · Zbl 0151.40101
[5] Truesdell, C., Phys. Fluids 7, 1134–1142 (1964).
[6] Stokes, G. G., Mathematical and Physical Papers, Vol. III. Cambridge: Cambridge University Press 1901. · JFM 32.0033.02
[7] Lamb, H., Hydrodynamics. Cambridge: Cambridge University Press 1895.
[8] Coleman, B. D., & H. Markovitz, J. Appl. Phys. 35, 1–9 (1964). · Zbl 0133.19205
[9] Markovitz, H., & D. R. Brown, Trans. Soc. Rheology 7, 137–154 (1963).
[10] Markovitz, H., Proc. Fourth Intern. Cong. Rheology (1963), in press.
[11] 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.
[12] Hopf, E., Math. Nachrichten 4, 213–231 (1951).
[13] Coleman, B. D., Arch. Rational Mech. Anal. 9, 273–300 (1962).
[14] Courant, R., & D. Hilbert, Methods of Mathematical Physics, 1st English edition, Vol. 1. New York: Interscience 1953. · Zbl 0051.28802
[15] Truesdell, C., U. S.Naval Res. Lab. Rep. No. P-3553 (1949) J. Math. pures appl. (9) 30, 111–158 (1951).
[16] Truesdell, C., J. Rational Mech. Anal. 1, 125–300 (1952).
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