JP Journal of Heat and Mass Transfer
Volume 16, Issue 1, Pages 53 - 68
(February 2019) http://dx.doi.org/10.17654/HM016010053 |
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SYSTEM OF TWO QUASI-LINEAR PARABOLIC EQUATIONS WITH INTEGRAL KINEMATIC BOUNDARY CONDITION
P. Martyniuk, O. Ostapchuk, O. Pryshchepa and L. Hladun
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Abstract: The mathematical model of filtration consolidation process of porous medium is investigated under salt transfer influence. The mathematical model is described by a boundary-value problem in the domain with free boundary for the system of two quasi-linear parabolic equations. On the free moving boundary, an integral kinematic boundary condition is set. The existence and uniqueness of the local in time solution of one-dimensional problem in Hölder spaces is proved. |
Keywords and phrases: quasi-linear equations of parabolic type, system, free mobile boundary, existence and uniqueness of solution.
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