Figueiredo / Santos Free Boundary Problems

Theory and Applications
1. Auflage 2007
ISBN: 978-3-7643-7719-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 154, 462 Seiten

Reihe: International Series of Numerical Mathematics

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.

Autoren/Hrsg.

Santos, Lisa

Figueiredo, Isabel Narra

Inhaltsverzeichnis

1;Contents;6
2;Preface;10
3;One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator;12
4;Existence and Uniqueness Results for Quasi- linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions;21
5;Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation;32
6;Parabolic Equations with Anisotropic Nonstandard Growth Conditions;42
7;Parabolic Systems with the Unknown Dependent Constraints Arising in Phase Transitions;54
8;The N-membranes Problem with Neumann Type Boundary Condition;64
9;Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport;74
10;Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth;84
11;The 8-Laplacian First Eigenvalue Problem;94
12;Comparison of Two Algorithms to Solve the Fixed- strike Amerasian Options Pricing Problem;104
13;Nonlinear Diffusion Models for Self- gravitating Particles;116
14;Existence, Uniqueness and an Explicit Solution for a One- Phase Stefan Problem for a Non- classical Heat Equation;126
15;Dislocation Dynamics: a Non- local Moving Boundary;134
16;Bermudean Approximation of the Free Boundary Associated with an American Option;145
17;Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction;156
18;Some P.D.E.s with Hysteresis;165
19;Embedding Theorem for Phase Field Equation with Convection;175
20;A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves;185
21;Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral- Level Set Method;195
22;Finite Difference Schemes for Incompressible Flows on Fully Adaptive Grids;205
23;Global Solvability of Constrained Singular Diffusion Equation Associated with Essential Variation;215
24;Capillary Mediated Melting of Ellipsoidal Needle Crystals;225
25;Boundary Regularity at {t = 0} for a Singular Free Boundary Problem;237
26;Fast Reaction Limits and Liesegang Bands;247
27;Numerical Modeling of Surfactant Effects in Interfacial Fluid Dynamics;257
28;The Value of an American Basket Call with Dividends Increases with the Basket Volatility;268
29;Mathematical Modelling of Nutrient- limited Tissue Growth;280
30;Asymptotic Hysteresis Patterns in a Phase Separation Problem;290
31;Obstacle Problems for Monotone Operators with Measure Data;298
32;Piecewise Constant Level Set Method for Interface Problems;313
33;Dynamics of a Moving Reaction Interface in a Concrete Wall;323
34;Adaptive Finite Elements with High Aspect Ratio for Dendritic Growth of a Binary Alloy Including Fluid Flow Induced by Shrinkage;333
35;A Free Boundary Problem for Nonlocal Damage Propagation in Diatomites;344
36;Concentrating Solutions for a Two- dimensional Elliptic Problem with Large Exponent in Nonlinearity;355
37;Existence of Weak Solutions for the Mullins- Sekerka Flow;365
38;Existence and Approximation Results for General Rate- independent Problems via a Variable Time- step Discretization Scheme;373
39;Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach;385
40;Aleksandrov and Kelvin Reflection and the Regularity of Free Boundaries;395
41;Solvability for a PDE Model of Regional Economic Trend;406
42;Surface Energies in Multi-phase Systems with Diffuse Phase Boundaries;416
43;High-order Techniques for Calculating Surface Tension Forces;427
44;Simulation of a Model of Tumors with Virus- therapy;437
45;Asymptotic Behavior of a Hyperbolic- parabolic Coupled System Arising in Fluid- structure Interaction;447
46;List of Participants;458