Long-time existence of classical solutions to a one-dimensional swelling gel
2014 ◽
Vol 25
(01)
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pp. 165-194
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In this paper, we derived a model which describes the swelling dynamics of a gel and study the system in one-dimensional geometry with a free boundary. The governing equations are hyperbolic with a weakly dissipative source. Using a mass-Lagrangian formulation, the free boundary is transformed into a fixed boundary. We prove the existence of long-time C1-solutions to the transformed fixed boundary problem.
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2016 ◽
Vol 68
(2)
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pp. 579-608
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