Free Boundary Problems

Front Matter....Pages i-x
One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator....Pages 1-9
Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions....Pages 11-21
Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation....Pages 23-32
Parabolic Equations with Anisotropic Nonstandard Growth Conditions....Pages 33-44
Parabolic Systems with the Unknown Dependent Constraints Arising in Phase Transitions....Pages 45-54
The N -membranes Problem with Neumann Type Boundary Condition....Pages 55-64
Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport....Pages 65-74
Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth....Pages 75-84
The ∞-Laplacian First Eigenvalue Problem....Pages 85-94
Comparison of Two Algorithms to Solve the Fixed-strike Amerasian Options Pricing Problem....Pages 95-106
Nonlinear Diffusion Models for Self-gravitating Particles....Pages 107-116
Existence, Uniqueness and an Explicit Solution for a One-Phase Stefan Problem for a Non-classical Heat Equation....Pages 117-124
Dislocation Dynamics: a Non-local Moving Boundary....Pages 125-135
Bermudean Approximation of the Free Boundary Associated with an American Option....Pages 137-147
Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction....Pages 149-157
Some P.D.E.s with Hysteresis....Pages 159-168
Embedding Theorem for Phase Field Equation with Convection....Pages 169-178
A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves....Pages 179-188
Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral-Level Set Method....Pages 189-198
Finite Difference Schemes for Incompressible Flows on Fully Adaptive Grids....Pages 199-208
Global Solvability of Constrained Singular Diffusion Equation Associated with Essential Variation....Pages 209-218
Capillary Mediated Melting of Ellipsoidal Needle Crystals....Pages 219-230
Boundary Regularity at { t = 0} for a Singular Free Boundary Problem....Pages 231-240
Fast Reaction Limits and Liesegang Bands....Pages 241-250
Numerical Modeling of Surfactant Effects in Interfacial Fluid Dynamics....Pages 251-261
The Value of an American Basket Call with Dividends Increases with the Basket Volatility....Pages 261-272
Mathematical Modelling of Nutrient-limited Tissue Growth....Pages 273-282
Asymptotic Hysteresis Patterns in a Phase Separation Problem....Pages 283-290
Obstacle Problems for Monotone Operators with Measure Data....Pages 291-305
Piecewise Constant Level Set Method for Interface Problems....Pages 307-316
Dynamics of a Moving Reaction Interface in a Concrete Wall....Pages 317-326
Adaptive Finite Elements with High Aspect Ratio for Dendritic Growth of a Binary Alloy Including Fluid Flow Induced by Shrinkage....Pages 327-337
A Free Boundary Problem for Nonlocal Damage Propagation in Diatomites....Pages 339-349
Concentrating Solutions for a Two-dimensional Elliptic Problem with Large Exponent in Nonlinearity....Pages 351-360
Existence of Weak Solutions for the Mullins-Sekerka Flow....Pages 361-368
Existence and Approximation Results for General Rate-independent Problems via a Variable Time-step Discretization Scheme....Pages 369-380
Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach....Pages 381-390
Aleksandrov and Kelvin Reflection and the Regularity of Free Boundaries....Pages 391-401
Solvability for a PDE Model of Regional Economic Trend....Pages 403-412
Surface Energies in Multi-phase Systems with Diffuse Phase Boundaries....Pages 413-423
High-order Techniques for Calculating Surface Tension Forces....Pages 425-434
Simulation of a Model of Tumors with Virus-therapy....Pages 435-444
Asymptotic Behavior of a Hyperbolic-parabolic Coupled System Arising in Fluid-structure Interaction....Pages 445-455
Back Matter....Pages 457-460