Geodesic
On a phase-field model with a logarithmic nonlinearity
Applications of Mathematics, Tome 57 (2012) no. 3, pp. 215-229

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Our aim in this paper is to study the existence of solutions to a phase-field system based on the Maxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term.
DOI : 10.1007/s10492-012-0014-y
Classification : 35A01, 35J60, 35K55, 35K91, 35L10, 35M33, 80A22
Keywords: phase field system; Maxwell-Cattaneo law; well-posedness; logarithmic potential 
@article{10_1007_s10492_012_0014_y,
     author = {Miranville, Alain},
     title = {On a phase-field model with a logarithmic nonlinearity},
     journal = {Applications of Mathematics},
     pages = {215--229},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2012},
     doi = {10.1007/s10492-012-0014-y},
     mrnumber = {2984601},
     zbl = {1265.35139},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0014-y/}
}
TY  - JOUR
AU  - Miranville, Alain
TI  - On a phase-field model with a logarithmic nonlinearity
JO  - Applications of Mathematics
PY  - 2012
SP  - 215
EP  - 229
VL  - 57
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0014-y/
DO  - 10.1007/s10492-012-0014-y
LA  - en
ID  - 10_1007_s10492_012_0014_y
ER  - 
%0 Journal Article
%A Miranville, Alain
%T On a phase-field model with a logarithmic nonlinearity
%J Applications of Mathematics
%D 2012
%P 215-229
%V 57
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0014-y/
%R 10.1007/s10492-012-0014-y
%G en
%F 10_1007_s10492_012_0014_y
Miranville, Alain. On a phase-field model with a logarithmic nonlinearity. Applications of Mathematics, Tome 57 (2012) no. 3, pp. 215-229. doi: 10.1007/s10492-012-0014-y

Cité par Sources :