Geodesic
Measure-valued solutions of a heterogeneous Cahn–Hilliard system in elastic solids
Irena Pawłow1 ; Wojciech M. Zajączkowski2
1 Systems Research Institute Polish Academy of Sciences Newelska 6 01-447 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
Colloquium Mathematicum, Tome 112 (2008) no. 2, pp. 313-334 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm112-2-7
Keywords: paper concerned existence measure valued solutions cahn hilliard system coupled elasticity system under consideration anisotropic heterogeneous sense admitting elasticity gradient energy tensors dependent order parameter dependences introduce additional nonlinearities model which existence weak solutions known far

Irena Pawłow 1 ; Wojciech M. Zajączkowski 2

1 Systems Research Institute Polish Academy of Sciences Newelska 6 01-447 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland
2 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland and Institute of Mathematics and Cryptology Cybernetics Faculty Military University of Technology Kaliskiego 2 00-908 Warszawa, Poland 
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Irena Pawłow; Wojciech M. Zajączkowski. Measure-valued solutions of a heterogeneous
 Cahn–Hilliard system in elastic solids. Colloquium Mathematicum, Tome 112 (2008) no. 2, pp. 313-334. doi: 10.4064/cm112-2-7

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