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Instability, uniqueness, and nonexistence theorems for the equation ut=uxx−uxtx on a strip

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References

  1. Coleman, B. D., & W. Noll, Arch. Rational Mech. Anal. 6, 355–370 (1960).

    Google Scholar 

  2. Markovitz, H., & B. D. Coleman, Adv. Appl. Mechanics 8, 69–101 (1964).

    Google Scholar 

  3. Ting, T. W., Arch. Rational Mech. Anal. 14, 1–26 (1963).

    Google Scholar 

  4. Markovitz, H., & B. D. Coleman, Phys. Fluids 7, 833–841 (1964).

    Google Scholar 

  5. Truesdell, C., Phys. Fluids 7, 1134–1142 (1964).

    Google Scholar 

  6. Stokes, G. G., Mathematical and Physical Papers, Vol. III. Cambridge: Cambridge University Press 1901.

    Google Scholar 

  7. Lamb, H., Hydrodynamics. Cambridge: Cambridge University Press 1895.

    Google Scholar 

  8. Coleman, B. D., & H. Markovitz, J. Appl. Phys. 35, 1–9 (1964).

    Google Scholar 

  9. Markovitz, H., & D. R. Brown, Trans. Soc. Rheology 7, 137–154 (1963).

    Google Scholar 

  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.

    Google Scholar 

  12. Hopf, E., Math. Nachrichten 4, 213–231 (1951).

    Google Scholar 

  13. Coleman, B. D., Arch. Rational Mech. Anal. 9, 273–300 (1962).

    Google Scholar 

  14. Courant, R., & D. Hilbert, Methods of Mathematical Physics, 1st English edition, Vol. 1. New York: Interscience 1953.

    Google Scholar 

  15. Truesdell, C., U. S.Naval Res. Lab. Rep. No. P-3553 (1949) J. Math. pures appl. (9) 30, 111–158 (1951).

    Google Scholar 

  16. Truesdell, C., J. Rational Mech. Anal. 1, 125–300 (1952).

    Google Scholar 

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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

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