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Differential Equations and Mathematical Physics pp 119–125Cite as

Longtime solutions for a class of convection diffusion systems

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1285))

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Bibliography

  1. T. Dlotko, "The two dimensional Burgers' turbulence model," J. Kyoto Univ., 21 (1981), 809–823.

    MathSciNet  MATH  Google Scholar 

  2. W. Fitzgibbon, "A semigroup approach to Burgers' systems," Differential Equations, Elsevier Science Publishers, New York, 1984, 213–217.

    Google Scholar 

  3. ___, "A two dimensional model for turbulence," Proceedings International Conference on Nonlinear Phenomena, Marcel Decker, New York, 1984, 177–184.

    Google Scholar 

  4. ___, "Global existence for a particular convection diffusion system," Nonlinear Analysis TMA (to appear).

    Google Scholar 

  5. ___, "A variation of parameters formula for Burgers' system," Infinite-Dimensional Systems, Lecture Notes in Mathematics 1076, Springer-Verlag, Berlin, 1984, 78–85.

    Chapter  Google Scholar 

  6. A. Friedman, Partial Differential Equations, Holt, Rhinehart, and Winston, New York, 1969.

    MATH  Google Scholar 

  7. J. Goldstein, "Semigroups of operators and abstract Cauchy problems," Lecture Notes, Tulane University, 1970.

    Google Scholar 

  8. D. Hoff and J. Smoller, "Solutions in the large for certain nonlinear parabolic systems" (to appear).

    Google Scholar 

  9. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics 840, Springer-Verlag, Berlin, 1981.

    Chapter  Google Scholar 

  10. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, Berlin, 1983.

    Book  MATH  Google Scholar 

  11. J. Smoller, Shock Waves and Reaction-Diffusion Equations, Springer-Verlag, Berlin, 1983.

    Book  MATH  Google Scholar 

  12. P. E. Sobolevskii, "On equations of parabolic type in a Banach space," Trudy Moscov. Mat. Orsc, 10 (1961), 297–350.

    MathSciNet  Google Scholar 

  13. G. Webb, "Exponential representation of solutions to an abstract semilinear differential equation" Pac. J. Math., 70 (1977), 268–279.

    Article  MATH  Google Scholar 

  14. W. Wieser, "On parabolic systems with variational structure," Manuscript Mathematica 54 (1985), 53–82.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Houston, 77004, Houston, Texas

    W. E. Fitzgibbon

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  1. W. E. Fitzgibbon
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Ian W. Knowles Yoshimi Saitō

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© 1987 Springer-Verlag

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Fitzgibbon, W.E. (1987). Longtime solutions for a class of convection diffusion systems. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080587

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  • DOI: https://doi.org/10.1007/BFb0080587

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18479-9

  • Online ISBN: 978-3-540-47983-3

  • eBook Packages: Springer Book Archive

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