On a one-phase Stefan problem in nonlinear conduction

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Abstract

A one phase Stefan problem in nonlinear conduction is considered. The problem is shown to admit a unique solution for small times. An exact solution is obtained which is a travelling front moving with constant speed.

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Lillo, S. D., & Salvatori, M. C. (2002). On a one-phase Stefan problem in nonlinear conduction. Journal of Nonlinear Mathematical Physics, 9(4), 446–454. https://doi.org/10.2991/jnmp.2002.9.4.5

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