Free Boundary Problems

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