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 Liesegang Bands -- 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. 0