[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2011.29.1_2.369

SOLVABILITY OF LUIKOV'S SYSTEM OF HEAT AND MASS DIFFUSION IN ONE-DIMENSIONAL CASE

Bougoffa, Lazhar (Department of Mathematics, Faculty of Science, Al-Imam University)
Al-Jeaid, Hind K. (Department of Mathematics, Umm Al-Qura University)

Publication Information

Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 369-380 More about this Journal

Abstract

This paper studies a boundary value problem for a linear coupled Luikov's system of heat and mass diffusion in one-dimensional case. Using an a priori estimate, we prove the uniqueness of the solution. Also, some traveling wave solutions and explicit solutions are obtained by using the transformation ${\xi}$ = x - ct and separation method respectively.

Keywords

Coupled system; Luikov's system; A priori estimate; traveling solutions;

Citations & Related Records

Reference

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