Free Boundary Problems

Table of Contents

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   Book Overview
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   Chapter 1 One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator
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   Chapter 2 Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions
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   Chapter 3 Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation
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   Chapter 4 Parabolic Equations with Anisotropic Nonstandard Growth Conditions
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   Chapter 5 Parabolic Systems with the Unknown Dependent Constraints Arising in Phase Transitions
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   Chapter 6 The N -membranes Problem with Neumann Type Boundary Condition
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   Chapter 7 Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport
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   Chapter 8 Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth
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    Chapter 9 The ∞-Laplacian First Eigenvalue Problem
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    Chapter 10 Comparison of Two Algorithms to Solve the Fixed-strike Amerasian Options Pricing Problem
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    Chapter 11 Nonlinear Diffusion Models for Self-gravitating Particles
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    Chapter 12 Existence, Uniqueness and an Explicit Solution for a One-Phase Stefan Problem for a Non-classical Heat Equation
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    Chapter 13 Dislocation Dynamics: a Non-local Moving Boundary
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    Chapter 14 Bermudean Approximation of the Free Boundary Associated with an American Option
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    Chapter 15 Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction
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    Chapter 16 Some P.D.E.s with Hysteresis
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    Chapter 17 Embedding Theorem for Phase Field Equation with Convection
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    Chapter 18 A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves
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    Chapter 19 Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral-Level Set Method
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    Chapter 20 Finite Difference Schemes for Incompressible Flows on Fully Adaptive Grids
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    Chapter 21 Global Solvability of Constrained Singular Diffusion Equation Associated with Essential Variation
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    Chapter 22 Capillary Mediated Melting of Ellipsoidal Needle Crystals
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    Chapter 23 Boundary Regularity at { t = 0} for a Singular Free Boundary Problem
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    Chapter 24 Fast Reaction Limits and Liesegang Bands
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    Chapter 25 Numerical Modeling of Surfactant Effects in Interfacial Fluid Dynamics
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    Chapter 26 The Value of an American Basket Call with Dividends Increases with the Basket Volatility
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    Chapter 27 Mathematical Modelling of Nutrient-limited Tissue Growth
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    Chapter 28 Asymptotic Hysteresis Patterns in a Phase Separation Problem
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    Chapter 29 Obstacle Problems for Monotone Operators with Measure Data
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    Chapter 30 Piecewise Constant Level Set Method for Interface Problems
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    Chapter 31 Dynamics of a Moving Reaction Interface in a Concrete Wall
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    Chapter 32 Adaptive Finite Elements with High Aspect Ratio for Dendritic Growth of a Binary Alloy Including Fluid Flow Induced by Shrinkage
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    Chapter 33 A Free Boundary Problem for Nonlocal Damage Propagation in Diatomites
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    Chapter 34 Concentrating Solutions for a Two-dimensional Elliptic Problem with Large Exponent in Nonlinearity
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    Chapter 35 Existence of Weak Solutions for the Mullins-Sekerka Flow
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    Chapter 36 Existence and Approximation Results for General Rate-independent Problems via a Variable Time-step Discretization Scheme
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    Chapter 37 Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach
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    Chapter 38 Aleksandrov and Kelvin Reflection and the Regularity of Free Boundaries
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    Chapter 39 Solvability for a PDE Model of Regional Economic Trend
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    Chapter 40 Surface Energies in Multi-phase Systems with Diffuse Phase Boundaries
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    Chapter 41 High-order Techniques for Calculating Surface Tension Forces
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    Chapter 42 Simulation of a Model of Tumors with Virus-therapy
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    Chapter 43 Asymptotic Behavior of a Hyperbolic-parabolic Coupled System Arising in Fluid-structure Interaction