: Isabel N. Figueiredo, José F. Rodrigues, Lisa Santos
: Isabel Narra Figueiredo, Lisa Santos
: Free Boundary Problems Theory and Applications
: Birkhäuser Basel
: 9783764377199
: 1
: CHF 85.40
:
: Analysis
: English
: 462
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

This book collects refereed lectures and communications presented at the Free Boundary Problems Conference (FBP2005). These discuss the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, biology and finance. Among other topics, the talks considered free boundary problems in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in image processing, in financial mathematics or in computations for inter-scale problems.
Contents6
Preface10
One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator12
Existence and Uniqueness Results for Quasi- linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions21
Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation32
Parabolic Equations with Anisotropic Nonstandard Growth Conditions42
Parabolic Systems with the Unknown Dependent Constraints Arising in Phase Transitions54
The N-membranes Problem with Neumann Type Boundary Condition64
Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport74
Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth84
The 8-Laplacian First Eigenvalue Problem94
Comparison of Two Algorithms to Solve the Fixed- strike Amerasian Options Pricing Problem104
Nonlinear Diffusion Models for Self- gravitating Particles116
Existence, Uniqueness and an Explicit Solution for a One- Phase Stefan Problem for a Non- classical Heat Equation126
Dislocation Dynamics: a Non- local Moving Boundary134
Bermudean Approximation of the Free Boundary Associated with an American Option145
Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction156
Some P.D.E.s with Hysteresis165
Embedding Theorem for Phase Field Equation with Convection175
A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves185
Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral- Level Set Method195
Finite Difference Schemes for Incompressible Flows on Fully Adaptive Grids205
Global Solvability of Constrained Singular Diffusion Equation Associated with Essential Variation215
Capillary Mediated Melting of Ellipsoidal Needle Crystals225
Boundary Regularity at {t = 0} for a Singular Free Boundary Problem237
Fast Reaction Limits and Liesegang Bands247
Numerical Modeling of Surfactant Effects in Interfacial Fluid Dynamics257
The Value of an American Basket Call with Dividends Increases with the Basket Volatility268
Mathematical Modelling of Nutrient- limited Tissue Growth280
Asymptotic Hysteresis Patterns in a Phase Separation Problem290
Obstacle Problems for Monotone Operators with Measure Data298
Piecewise Constant Level Set Method for Interface Problems313
Dynamics of a Moving Reaction Interface in a Concrete Wall323
Adaptive Finite Elements with High Aspect Ratio for Dendritic Growth of a Binary Alloy Including Fluid Flow Induced by Shrinkage333
A Free Boundary Problem for Nonlocal Damage Propagation in Diatomites344
Concentrating Solutions for a Two- dimensional Elliptic Problem with Large Exponent in Nonlinearity355
Existence of Weak Solutions for the Mullins- Sekerka Flow365
Existence and Approximation Results for General Rate- independent Problems via a Variable Time- step Discretization Scheme373
Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach385
Aleksandrov and Kelvin Reflection and the Regularity of Free Boundaries395
Solvability for a PDE Model of Regional Economic Trend406
Surface Energies in Multi-phase Systems with Diffuse Phase Boundaries416
High-order Techniques for Calculating Surface Tension Forces427
Simulation of a Model of Tumors with Virus- therapy437
Asymptotic Behavior of a Hyperbolic- parabolic Coupled System Arising in Fluid- structure Interaction447
List of Participants458