Existence and Uniqueness of Solutions of a Nonlinear Heat Equation

Authors

  • M.A. Rincon
  • J. Límaco
  • I. Shih Liu

DOI:

https://doi.org/10.5540/tema.2005.06.02.0273

Abstract

A nonlinear partial differential equation of the following form is considered: u′ − div a(u)∇u + b(u) |∇u|2 = 0, which arises from the heat conduction problems with strong temperature-dependent material parameters, such as mass density, specific heat and heat conductivity. Existence, uniqueness and asymptotic behavior of initial boundary value problems under appropriate assumptions on the material parameters are established.

References

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Published

2005-06-01

How to Cite

Rincon, M., Límaco, J., & Shih Liu, I. (2005). Existence and Uniqueness of Solutions of a Nonlinear Heat Equation. Trends in Computational and Applied Mathematics, 6(2), 273–284. https://doi.org/10.5540/tema.2005.06.02.0273

Issue

Vol. 6 No. 2 (2005)

Section

Original Article

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