On a Two-point Free Boundary Problem

@inproceedings{Guo2006OnAT,
  title={On a Two-point Free Boundary Problem},
  author={Jong-Shenq Guo},
  year={2006}
}
We study a two-point free boundary problem for a quasilinear parabolic equation. This problem arises in the model of flame propagation in combustion theory. It also arises in the study of the motion of interface moving with curvature in which the studied problem is confined in the conical region bounded by two straight lines and the interface has prescribed touching angles with these two straight lines. Depending on these two touching angles, there are three different cases, namely, area… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 12 references

On a two-point free boundary problem for a quasilinear parabolic equation

  • Y.-L. Chang, J.-S. Guo, Y. Kohsaka
  • Asymptotic Analysis 34
  • 2003
Highly Influential
8 Excerpts

Self-similar solutions of two-point free boundary problem for heat equation

  • J.-S. Guo, Y. Kohsaka
  • Nonlinear Diffusive Systems and Related Topics…
  • 2002
Highly Influential
5 Excerpts

Asymptotic self-similar blowup of semilinear heat equations

  • Y. Giga, R. V. Kohn
  • Comm. Pure and Applied Math. 38
  • 1985
Highly Influential
3 Excerpts

The self-similar expanding curve for the curvature flow equation

  • H.-H. Chern, J.-S. Guo, C.-P. Lo
  • Proc. Amer. Math. Soc. 131
  • 2003
1 Excerpt

Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary

  • Y. Kohsaka
  • Nonlinear Analysis 45
  • 2001
1 Excerpt

A free boundary problem for the heat equation arising in flame propagation

  • L. A. Caffarelli, J. L. Vazquez
  • Trans. Amer. Math. Soc. 347
  • 1995
1 Excerpt

The free boundary problem for the heat equation with fixed gradient condition

  • J. L. Vazquez
  • Free boundary problems, theory and applications…
  • 1995
2 Excerpts

A free boundary focusing problem

  • D. Hilhorst, J. Hulshof
  • Proc. Amer. Math. Soc. 121
  • 1994
1 Excerpt

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