Stopping and merging problems for the porous media equation
Publication
, Journal Article
Witelski, TP
Published in: IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
December 1, 1995
A class of boundary value problems for nonlinear diffusion equations is studied. Using singular perturbation theory and matched asymptotic expansions, the author analyses the interactions of compact-support solutions of the porous media equation with fixed boundaries and with other solutions. The boundary layer analysis yields results on how 'stopping' and 'merging' disturbances at the interface propagate back into the solution. Analysis is also extended to cover merging problems for the fourth-order lubrication equation. © 1995 Oxford University Press.
Duke Scholars
Published In
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
DOI
ISSN
0272-4960
Publication Date
December 1, 1995
Volume
54
Issue
3
Start / End Page
227 / 243
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0199 Other Mathematical Sciences
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Witelski, T. P. (1995). Stopping and merging problems for the porous media equation. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 54(3), 227–243. https://doi.org/10.1093/imamat/54.3.227
Witelski, T. P. “Stopping and merging problems for the porous media equation.” IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications) 54, no. 3 (December 1, 1995): 227–43. https://doi.org/10.1093/imamat/54.3.227.
Witelski TP. Stopping and merging problems for the porous media equation. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 1995 Dec 1;54(3):227–43.
Witelski, T. P. “Stopping and merging problems for the porous media equation.” IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), vol. 54, no. 3, Dec. 1995, pp. 227–43. Scopus, doi:10.1093/imamat/54.3.227.
Witelski TP. Stopping and merging problems for the porous media equation. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 1995 Dec 1;54(3):227–243.
Published In
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
DOI
ISSN
0272-4960
Publication Date
December 1, 1995
Volume
54
Issue
3
Start / End Page
227 / 243
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0199 Other Mathematical Sciences
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics