Free boundary problems. Theory and applications

✍ Scribed by Santos, Lisa; Figueiredo, Isabel Narra; Rodrigues, José-Francisco (eds.)

• Publisher: Birkhäuser Verlag
• Year: 2007
• Tongue: English
• Leaves: 472
• Series: International Series of Numerical Mathematics 154
• Category: Library

✦ Synopsis

This book gathers a collection of refereed articles containing original results reporting the recent contributions of the lectures and communications presented at the Free Boundary Problems Conference that took place at the University of Coimbra, Portugal, from June 7 to 12, 2005 (FBP2005). They deal with the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, biology and finance. Among the main topics, the talks considered free boundary problems in biomedicine, in porous media, in thermodynamic modeling, in fl.  Read more...

Abstract:

This book collects refereed lectures and communications presented at the Free Boundary Problems Conference (FBP2005).  Read more...

✦ Table of Contents

Content: Preface
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 DepthThe ∞-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 FrictionSome 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
Contents
Capillary Mediated Melting of Ellipsoidal Needle Crystals. Boundary Regularity at {t =0} for a Singular Free Boundary ProblemFast 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 ShrinkageA 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.

✦ Subjects

Boundary value problems -- Numerical solutions -- Congresses.;MATHEMATICS -- Differential Equations -- General.;Boundary value problems -- Numerical solutions.