Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models

Author:

Volkov Vladimir,Nefedov Nikolay

Publisher

Springer Berlin Heidelberg

Reference7 articles.

1. Volkov, V.T., Grachev, N.E., Nefedov, N.N., Nikolaev, A.N.: On the formation of sharp transition layers in two-dimensional reaction-diffusion models. Journ. of Comp. Math. and Math. Phys. 47(8), 1301–1309 (2007)

2. Butuzov, V.F., Nefedov, N.N., Schneider, K.R.: On generation and propagation of sharp transition layers in parabolic problems. Vestnik MGU. Serija 3(1), 9–13 (2005) (in Russian)

3. Vasilieva, A.B., Butuzov, V.F., Nefedov, N.N.: Contrast structures in singularly perturbed problems. Fundamentalnaja i Prikladnala Matematika 4(3), 799–851 (1998) (in Russian)

4. Bozhevolnov, Y.V., Nefedov, N.N.: Front motion in parabolic reaction-diffusion problem. Computational Mathematics and Mathematical 50(2), 276–285 (2010)

5. Fife, P.C., Penrose, O.: Interfacial dynamics for thermodynamically consistent phase-field models with nonconserved order parameter. Electronic J. of Diff. Equations 1995 (16), 1–49 (1995)

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