| Preface |
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ix | |
| T. Aiki and T. Okazaki |
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One-dimensional Shape Memory Alloy Problem with Duhem Type of Hysteresis Operator |
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1 | |
| F. Andreu, N. Igbida, J.M. Mazón and J. Toledo |
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Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions |
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11 | |
| S. Antontsev and H.B. de Oliveira |
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Finite Time Localized Solutions of Fluid Problems with Anisotropic Dissipation |
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23 | |
| S. Antontsev and S. Shmarev |
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Parabolic Equations with Anisotropic Nonstandard Growth Conditions |
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33 | |
| M. Aso, M. Frémond and N. Kenmochi |
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Parabolic Systems with the Unknown Dependent Constraints Arising in Phase Transitions |
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45 | |
| A. Azevedo, J.F. Rodrigues and L. Santos |
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The N-membranes Problem with Neumann Type Boundary Condition |
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55 | |
| M. Bause and W. Merz |
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Modelling, Analysis and Simulation of Bioreactive Multicomponent Transport |
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65 | |
| G. Bellettini and R. March |
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Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth |
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75 | |
| M. Belloni |
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The infinity-Laplacian First Eigenvalue Problem |
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85 | |
| A. Bermúdez, M. Rodriguez-Nogueiras and C. Vázquez |
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Comparison of Two Algorithms to Solve the Fixed-strike Amerasian Options Pricing Problem |
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95 | |
| P. Biler and R. Stanczy |
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Nonlinear Diffusion Models for Self-gravitating Particles |
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107 | |
| A.C. Briozzo and D.A. Tarzia |
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Existence, Uniqueness and an Explicit Solution for a One-Phase Stefan Problem for a Non-classical Heat Equation |
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117 | |
| P. Cardaliaguet, F. Da Lio, N. Forcadel and R. Monneau |
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Dislocation Dynamics: a Non-local Moving Boundary |
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125 | |
| E. Chevalier |
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Bermudean Approximation of the Free Boundary Associated with an American Option |
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137 | |
| L. Consiglieri and J.F. Rodrigues |
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Steady-state Bingham Flow with Temperature Dependent Nonlocal Parameters and Friction |
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149 | |
| M. Eleuteri |
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Some P.D.E.s with Hysteresis |
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159 | |
| T. Fukao |
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Embedding Theorem for Phase Field Equation with Convection |
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169 | |
| G. Galiano and J. Velasco |
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A Dynamic Boundary Value Problem Arising in the Ecology of Mangroves |
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179 | |
| M. Garzon and J.A. Sethian |
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Wave Breaking over Sloping Beaches Using a Coupled Boundary Integral-Level Set Method |
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189 | |
| F. Gibou, C. Min and H. Ceniceros |
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Finite Difference Schemes for Incompressible Flows on Fully Adaptive Grids |
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199 | |
| Y. Giga, H. Kuroda and N. Yamazaki |
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Global Solvability of Constrained Singular Diffusion Equation Associated with Essential Variation |
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209 | |
| M.E. Glicksman, A. Lupulescu and M.B. Koss |
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Capillary Mediated Melting of Ellipsoidal Needle Crystals |
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219 | |
| E. Henriques and J.M. Urbano |
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Boundary Regularity at {t = 0} for a Singular Free Boundary Problem |
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231 | |
| D. Hilhorst, R. van der Hout, M. Mimura and I. Ohnishi |
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Fast Reaction Limits and Liesegang Bands |
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241 | |
| A.J. James and J. Lowengrub |
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Numerical Modeling of Surfactant Effects in Interfacial Fluid Dynamics |
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251 | |
| J. Kampen |
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The Value of an American Basket Call with Dividends Increases with the Basket Volatility |
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261 | |
| J.R. King and S.J. Franks |
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Mathematical Modelling of Nutrient-limited Tissue Growth |
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273 | |
| P. Krejci |
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Asymptotic Hysteresis Patterns in a Phase Separation Problem |
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283 | |
| C. Leone |
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Obstacle Problems for Monotone Operators with Measure Data |
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291 | |
| H. Li and X.-C. Tai |
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Piecewise Constant Level Set Method for Interface Problems |
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307 | |
| A. Muntean and M. Böhm |
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Dynamics of a Moving Reaction Interface in a Concrete Wall |
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317 | |
| J. Narski and M. Picasso |
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Adaptive Finite Elements with High Aspect Ratio for Dendritic Growth of a Binary Alloy Including Fluid Flow Induced by Shrinkage |
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327 | |
| C. Nitsch |
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A Free Boundary Problem for Nonlocal Damage Propagation in Diatomites |
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339 | |
| A. Pistoia |
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Concentrating Solutions for a Two-dimensional Elliptic Problem with Large Exponent in Nonlinearity |
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351 | |
| M. Röger |
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Existence of Weak Solutions for the Mullins-Sekerka Flow |
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361 | |
| R. Rossi |
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Existence and Approximation Results for General Rate-independent Problems via a Variable Time-step Discretization Scheme |
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369 | |
| A. Segatti |
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Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach |
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381 | |
| H. Shahgholian and G.S. Weiss |
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Aleksandrov and Kelvin Reflection and the Regularity of Free Boundaries |
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391 | |
| K. Shirakawa, A. Ito and A. Kadoya |
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Solvability for a PDE Model of Regional Economic Trend |
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403 | |
| B. Stinner |
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Surface Energies in Multi-phase Systems with Diffuse Phase Boundaries |
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413 | |
| M. Sussman and M. Ohta |
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High-order Techniques for Calculating Surface Tension Forces |
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425 | |
| Y. Tao and Q. Guo |
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Simulation of a Model of Tumors with Virus-therapy |
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435 | |
| X. Zhang and E. Zuazua |
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Hyperbolic-parabolic Coupled System Arising in Fluid-structure Interaction |
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445 | |
| List of Participants |
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457 | |