## Free Boundary Problems, Theory and ApplicationsAddressing various aspects of nonlinear partial differential equations, this volume contains papers and lectures presented at the Congress on Free boundary Problems, Theory and Application held in Zakopane, Poland in 1995. Topics include existence, uniqueness, asymptotic behavior, and regularity of solutions and interfaces. |

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### Contents

P Colli G Savarè Time discretization of Stefan problems with singular heat flur | 16 |

Rubinstein B Zaltzman Morphological instability of the similarity solutions | 29 |

A Tarzia C Turner The onephase supercooled Stefan problem | 51 |

J W Cahn A NovickCohen Limiting motion for an AllenCahnCahnHilliard | 89 |

N Kenmochi Global attractor of the semigroup associated to a phasefield model | 111 |

T Koyama On a heat equation with hysteresis in the source term | 126 |

N Sato Periodic solutions of phase field equations with constraint | 145 |

P Strzelecki Quasilinear elliptic systems of GinzburgLandau type | 158 |

A Stancu Selfsimilarity in the deformation of planar conver curves | 271 |

Vazquez The free boundary problem for the heat equation with fired gradient | 277 |

A Glitzky R Hünlich Electroreactiondiffusion systems for heterostructures | 305 |

Hömberg An extended model for phase transitions in steel | 314 |

B Nedjar Damage gradient of damage and free boundaries | 333 |

J Steinbach Simulation of the mould filling process by means of a temperature | 344 |

Andreucci A Fasano R Gianni M Primicerio R Ricci Diffusion driven | 359 |

A Bonami D Hilhorst E Logak M Mimura A free boundary problem arising | 368 |

Blanchard Renormalized solutions for parabolic problems with L data | 177 |

H Giga Y Giga Consistency in evolutions by crystalline curvature | 186 |

R Goglione M Paolini Numerical simulations of crystalline motion by mean cur | 203 |

J Kačur Solution of degenerate parabolic problems by relaration schemes | 217 |

Korten Uniqueness for the Cauchy problem with measures as data | 231 |

A Lapin Weak solutions for nonlinear fluid flow through porous medium | 242 |

J F Rodrigues L Santos On the glacier kinematics with the shallowice approxi | 254 |

T Roubiček Modelling of microstructure governed by nonquasiconver variational | 264 |

K Kuczera Free energy simulations in chemistry and biology | 374 |

B Lesyng Structure and dynamics of biomolecular systems Basic problems | 392 |

J Maskawa T Takeuchi Phase separation in elastic bodies pattern formation | 400 |

Różyczka T Plewa A Kudlicki Structure formation in cosmology | 408 |

E Wimmer Challenges for computational materials design | 423 |

Wrzosek On an infinite system of reactiondiffusion equations in the theory | 441 |

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