Generation of interface for an Allen-Cahn equation with nonlinear diffusion [PDF]
, 2009 In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we ...
Alfaro +12 more
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Evolutionary quasi-variational and variational inequalities with constraints on the derivatives
Advances in Nonlinear Analysis, 2018 This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial ...
Miranda Fernando +2 more
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Regularization and error estimates for an inverse heat problem under the conformable derivative
Open Mathematics, 2018 In this paper we study an inverse time problem for the nonhomogeneous heat equation under the conformable derivative which is a severely ill-posed problem. Using the quasi-boundary value method with two regularization parameters (one related to the error
Vu Ho, O’Regan Donal, Hoa Ngo Van
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Controlled Drug Release Asymptotics [PDF]
, 1998 The solution of Higushi's model for controlled release of drugs is examined when the solubility of the drug in the polymer matrix is a prescribed function of time. A time-dependent solubility results either from an external control or from a change in pH
Cohen, Donald S., Erneux, Thomas
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Sharp Fronts Due to Diffusion and Viscoelastic Relaxation in Polymers [PDF]
, 1991 A model for sharp fronts in glassy polymers is derived and analyzed. The major effect of a diffusing penetrant on the polymer entanglement network is taken to be the inducement of a differential viscoelastic stress.
Cohen, Donald S., White, Andrew B., Jr.
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An Unusual Moving Boundary Condition Arising in Anomalous Diffusion Problems [PDF]
, 1995 In the context of analyzing a new model for nonlinear diffusion in polymers, an unusual condition appears at the moving interface between the glassy and rubbery phases of the polymer.
Cohen, D. S., Edwards, D. A.
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Free surface flow over an obstacle. Theoretical study of the fluvial case
Abstract and Applied Analysis, Volume 6, Issue 7, Page 413-429, 2001., 2001 The two‐dimensional stationary flow of a fluid over an obstacle lying on the bottom of a stream is discussed. We take into account the gravity and we neglect the effects of the surface tension. An existence theory for the solution of this problem is established by the implicit function theorem, for small obstacles and Froude numbers in an interval ...
D. Boukari, R. Djouadi, D. Teniou
wiley +1 more source
On nonstandard potentials in a Stefan problem
International Journal of Stochastic Analysis, Volume 3, Issue 2, Page 153-154, 1990., 1990 We report some results on nonstandard potentials and their application to solution of the Stefan problem.
Igor Malyshev
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Large-time asymptotics of moving-reaction interfaces involving nonlinear Henry's law and time-dependent Dirichlet data [PDF]
, 2013 We study the large-time behavior of the free boundary position capturing the one-dimensional motion of the carbonation reaction front in concrete-based materials.
Aiki, Toyohiko, Muntean, Adrian
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Surface integrals approach to solution of some free boundary problems ‐ II
International Journal of Stochastic Analysis, Volume 2, Issue 2, Page 91-100, 1989., 1989 This paper is a continuation of the publication [1] where integral equation techniques were applied to the solution of a generalized Stefan problem. The regularization of the corresponding system of nonlinear integral Volterra equations offered here is quite different from that in [1], hence ‐ several new algorithms and numerical experiments.
Igor Malyshev
wiley +1 more source