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Nonlinear Heat Conduction through an Externally Heated Radiant Plasma: Background Analysis for a Numerical Study

Journal Article


Abstract


  • A family of nonlinear parabolic problems of heat conduction through a radiant plasma is studied. As in the technological application, the governing equation contains a time-dependent source term. Then considering boundary value problems, the boundary conditions are time dependent, too. Certain qualitative properties of solutions to such problems have been established, namely, number of local maxima, Lie symmetries, and similarity solutions. © 1999 Academic Press.

Publication Date


  • 1999

Citation


  • Broadbridge, P., Lavrentiev, M. M., & Williams, G. H. (1999). Nonlinear Heat Conduction through an Externally Heated Radiant Plasma: Background Analysis for a Numerical Study. Journal of Mathematical Analysis and Applications, 238(2), 353-368. doi:10.1006/jmaa.1999.6502

Scopus Eid


  • 2-s2.0-0041623596

Web Of Science Accession Number


Start Page


  • 353

End Page


  • 368

Volume


  • 238

Issue


  • 2

Abstract


  • A family of nonlinear parabolic problems of heat conduction through a radiant plasma is studied. As in the technological application, the governing equation contains a time-dependent source term. Then considering boundary value problems, the boundary conditions are time dependent, too. Certain qualitative properties of solutions to such problems have been established, namely, number of local maxima, Lie symmetries, and similarity solutions. © 1999 Academic Press.

Publication Date


  • 1999

Citation


  • Broadbridge, P., Lavrentiev, M. M., & Williams, G. H. (1999). Nonlinear Heat Conduction through an Externally Heated Radiant Plasma: Background Analysis for a Numerical Study. Journal of Mathematical Analysis and Applications, 238(2), 353-368. doi:10.1006/jmaa.1999.6502

Scopus Eid


  • 2-s2.0-0041623596

Web Of Science Accession Number


Start Page


  • 353

End Page


  • 368

Volume


  • 238

Issue


  • 2