The nonlinear diffusion--convection equation on the semiline with time-dependent flux at the origin
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 211-219
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The nonlinear diffusion–convection equation is considered as a pheno-menological model of two-phase flow in a semi-infinite porous medium. For such model the initial/boundary value problem is solved with a general initial datum and a boundary condition at the origin representing a time-dependent flux. The problem is reduced to a linear integral equation of Volterra type in one dependent variable; in some cases of applicative interest this eqution can be solved by quadratures.
@article{TMF_1994_99_2_a5,
author = {F. Calogero and S. De Lillo},
title = {The nonlinear diffusion--convection equation on the semiline with time-dependent flux at the origin},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {211--219},
publisher = {mathdoc},
volume = {99},
number = {2},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a5/}
}
TY - JOUR AU - F. Calogero AU - S. De Lillo TI - The nonlinear diffusion--convection equation on the semiline with time-dependent flux at the origin JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1994 SP - 211 EP - 219 VL - 99 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a5/ LA - en ID - TMF_1994_99_2_a5 ER -
%0 Journal Article %A F. Calogero %A S. De Lillo %T The nonlinear diffusion--convection equation on the semiline with time-dependent flux at the origin %J Teoretičeskaâ i matematičeskaâ fizika %D 1994 %P 211-219 %V 99 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a5/ %G en %F TMF_1994_99_2_a5
F. Calogero; S. De Lillo. The nonlinear diffusion--convection equation on the semiline with time-dependent flux at the origin. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 211-219. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a5/