Free Boundary Problems

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Keywords

• Boundary value problem
• fluid mechanics
• free boundary problems
• image processing
• inter-scale problems
• nonlinear partial differential equations
• partial differential equation
• porous media
• thermodynamic modeling
• partial differential equations

Table of contents (43 papers)

Front Matter

One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator

• Toyohiko Aiki, Takanobu Okazaki

Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions

• F. Andreu, N. Igbida, J. M. Mazón, J. Toledo

Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation

• S. Antontsev, H. B. de Oliveira

Parabolic Equations with Anisotropic Nonstandard Growth Conditions

• S. Antontsev, S. Shmarev

Parabolic Systems with the Unknown Dependent Constraints Arising in Phase Transitions

• Masayasu Aso, Michel Frémond, Nobuyuki Kenmochi

The N-membranes Problem with Neumann Type Boundary Condition

• A. Azevedo, J. F. Rodrigues, L. Santos

Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport

• Markus Bause, Willi Merz

Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth

• Giovanni Bellettini, Riccardo March

The ∞-Laplacian First Eigenvalue Problem

• Marino Belloni

Comparison of Two Algorithms to Solve the Fixed-strike Amerasian Options Pricing Problem

• Alfredo Bermúdez, María Rodríguez-Nogueiras, Carlos Vázquez

Nonlinear Diffusion Models for Self-gravitating Particles

• Piotr Biler, Robert Stańczy

Existence, Uniqueness and an Explicit Solution for a One-Phase Stefan Problem for a Non-classical Heat Equation

• Adriana C. Briozzo, Domingo A. Tarzia

Dislocation Dynamics: a Non-local Moving Boundary

• P. Cardaliaguet, F. Da Lio, N. Forcadel, R. Monneau

Bermudean Approximation of the Free Boundary Associated with an American Option

• E. Chevalier

Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction

• L. Consiglieri, J. F. Rodrigues

Some P.D.E.s with Hysteresis

• Michela Eleuteri

Embedding Theorem for Phase Field Equation with Convection

• Takesi Fukao

A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves

• Gonzalo Galiano, Julián Velasco

Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral-Level Set Method

• M. Garzon, J. A. Sethian

Editors and Affiliations

Departamento de Matemática Faculdade de Ciências e Tecnologia, Universidade de Coimbra, Coimbra, Portugal

Universidade de Lisboa / CMAF, Lisboa, Portugal

Departamento de Matemática, Universidade do Minho, Braga, Portugal

Bibliographic Information

• Book Title : Free Boundary Problems
• Book Subtitle : Theory and Applications
• Editors : Isabel Narra Figueiredo, José Francisco Rodrigues, Lisa Santos
• Series Title : International Series of Numerical Mathematics
• DOI : https://doi.org/10.1007/978-3-7643-7719-9
• Publisher : Birkhäuser Basel
• eBook Packages : Mathematics and Statistics , Mathematics and Statistics (R0)
• Copyright Information : Birkhäuser Basel 2007
• Hardcover ISBN : 978-3-7643-7718-2 Published: 22 November 2006
• eBook ISBN : 978-3-7643-7719-9 Published: 11 January 2007
• Series ISSN : 0373-3149
• Series E-ISSN : 2296-6072
• Edition Number : 1
• Number of Pages : X, 462
• Topics : Analysis , Numerical Analysis , Partial Differential Equations