Titlebook: Energy Methods for Free Boundary Problems; Applications to Nonl S. N. Antontsev,J. I. Díaz,S. Shmarev Book 2002 Springer Science+Business M

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Space and Time Localization in Nonlinear Evolution Problems,In this chapter the energy method is applied to study the space and time localization of weak solutions for nonlinear degenerate parabolic equations and systems of such equations.

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Stabilization in a Finite Time to a Stationary State,to a stationary profile for solutions to nonlinear evolution problems. To be precise, let Ω ⊂ ℝ., . ≥ 1, be an open set (which need be neither bounded nor connected). Denote . = Ω × ℝ., Σ. = ∂Ω × ℝ.. To fix ideas, let us consider the general initial and boundary-value problem .where .(.) is a differ

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Book 2002earn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Inte

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Book 2002s. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media

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