| Preface | p. ix |
| One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator | p. 1 |
| Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions | p. 11 |
| Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation | p. 23 |
| Parabolic Equations with Anisotropic Nonstandard Growth Conditions | p. 33 |
| Parabolic Systems with the Unknown Dependent Constraints Arising in Phase Transitions | p. 45 |
| The N-membranes Problem with Neumann Type Boundary Condition | p. 55 |
| Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport | p. 65 |
| Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth | p. 75 |
| The [Infinity]-Laplacian First Eigenvalue Problem | p. 85 |
| Comparison of Two Algorithms to Solve the Fixed-strike Amerasian Options Pricing Problem | p. 95 |
| Nonlinear Diffusion Models for Self-gravitating Particles | p. 107 |
| Existence, Uniqueness and an Explicit Solution for a One-Phase Stefan Problem for a Non-classical Heat Equation | p. 117 |
| Dislocation Dynamics: a Non-local Moving Boundary | p. 125 |
| Bermudean Approximation of the Free Boundary Associated with an American Option | p. 137 |
| Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction | p. 149 |
| Some P.D.E.s with Hysteresis | p. 159 |
| Embedding Theorem for Phase Field Equation with Convection | p. 169 |
| A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves | p. 179 |
| Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral-Level Set Method | p. 189 |
| Finite Difference Schemes for Incompressible Flows on Fully Adaptive Grids | p. 199 |
| Global Solvability of Constrained Singular Diffusion Equation Associated with Essential Variation | p. 209 |
| Capillary Mediated Melting of Ellipsoidal Needle Crystals | p. 219 |
| Boundary Regularity at {t = 0} for a Singular Free Boundary Problem | p. 231 |
| Fast Reaction Limits and Liesegang Bands | p. 241 |
| Numerical Modeling of Surfactant Effects in Interfacial Fluid Dynamics | p. 251 |
| The Value of an American Basket Call with Dividends Increases with the Basket Volatility | p. 261 |
| Mathematical Modelling of Nutrient-limited Tissue Growth | p. 273 |
| Asymptotic Hysteresis Patterns in a Phase Separation Problem | p. 283 |
| Obstacle Problems for Monotone Operators with Measure Data | p. 291 |
| Piecewise Constant Level Set Method for Interface Problems | p. 307 |
| Dynamics of a Moving Reaction Interface in a Concrete Wall | p. 317 |
| Adaptive Finite Elements with High Aspect Ratio for Dendritic Growth of a Binary Alloy Including Fluid Flow Induced by Shrinkage | p. 327 |
| A Free Boundary Problem for Nonlocal Damage Propagation in Diatomites | p. 339 |
| Concentrating Solutions for a Two-dimensional Elliptic Problem with Large Exponent in Nonlinearity | p. 351 |
| Existence of Weak Solutions for the Mullins-Sekerka Flow | p. 361 |
| Existence and Approximation Results for General Rate-independent Problems via a Variable Time-step Discretization Scheme | p. 369 |
| Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach | p. 381 |
| Aleksandrov and Kelvin Reflection and the Regularity of Free Boundaries | p. 391 |
| Solvability for a PDE Model of Regional Economic Trend | p. 403 |
| Surface Energies in Multi-phase Systems with Diffuse Phase Boundaries | p. 413 |
| High-order Techniques for Calculating Surface Tension Forces | p. 425 |
| Simulation of a Model of Tumors with Virus-therapy | p. 435 |
| Hyperbolic-parabolic Coupled System Arising in Fluid-structure Interaction | p. 445 |
| List of Participants | p. 457 |
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