Measure-valued solutions of a heterogeneous Cahn-Hilliard system in elastic solids

• Autorzy: Irena Pawłow , Wojciech M. Zajączkowski
• Języki publikacji: EN

Abstrakty

EN

The paper is concerned with the existence of measure-valued solutions to the Cahn-Hilliard system coupled with elasticity. The system under consideration is anisotropic and heterogeneous in the sense of admitting the elasticity and gradient energy tensors dependent on the order parameter. Such dependences introduce additional nonlinearities to the model for which the existence of weak solutions is not known so far.

Kategorie tematyczne

• 35G30: Boundary value problems for nonlinear higher-order equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 112
• Numer: 2
• Strony: 313-334

Daty

wydano

2008

Twórcy

autor

Irena Pawłow

• Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

autor

Wojciech M. Zajączkowski

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
• Institute of Mathematics and Cryptology, Cybernetics Faculty, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm112-2-7