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The nonlinear diffusion-convection equation on the semiline with time-dependent flux at the origin

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Abstract

The nonlinear diffusion-convection equation is considered as a phenomenological model of two-phase flow in a semi-infinite porous medium. For such a model the initial/boundary value problem is solved with a general initial datum and a boundary condition at the origin representing a time-dependt t flux. The problem is reduced to a linear integral equation of Volterra type in one dependent variable; in some cases of applicative interest this equation can be solved by quadratures.

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References

  1. G. Rosen, Phys. Rev. Lett. 1982. V. 49. P. 1844.

    Google Scholar 

  2. A. S. Focas andY. C. Yortsos, SIAM J. Appl. Math. 1982. V. 42. P. 318.

    Google Scholar 

  3. M. J. King, J. Math. Phys. 1985. V. 26. P. 870.

    Google Scholar 

  4. P. Broadbridge andC. Rogers, J. Eng. Math. 1990. V. 24. P. 25.

    Google Scholar 

  5. F. Calogero andS. De Lillo, J. Math. Phys. 1991. V. 32. P. 99.

    Google Scholar 

  6. F. Calogero andS. De Lillo, Nonlinearity. 1989, V. 2. P. 37.

    Google Scholar 

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Authors
  1. F. Calogero
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  2. S. De Lillo
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Additional information

Dipleave while serving as Secretary-General of Pugwash Conferences on Sciences and World Affairs, Geneva-London-Rome.

Dipartimento de Fisica, Universita di Roma “La Sapienza”, 00185 Roma, Italy. Instituto Nazionale di Fisica Nucleare, Sezione di Roma, Dipartimento di Fisica, Universita di Perugia, 06100 Perugia, Italy. Translated from Teoreticheskaya i Matemaaticheskaya Fizika, Vol. 99, No. 2, pp. 211–219, May, 1994.

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Calogero, F., De Lillo, S. The nonlinear diffusion-convection equation on the semiline with time-dependent flux at the origin. Theor Math Phys 99, 531–537 (1994). https://doi.org/10.1007/BF01016134

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  • DOI: https://doi.org/10.1007/BF01016134

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