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Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory - MaRDI portal

Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory (Q2268686)

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Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory
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    Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory (English)
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    8 March 2010
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    The authors study a temperature dependent phase field model with memory. Section 1 is introductory while Section 2 deals with all the assumptions and Theorem 2.1 that is the main result of the paper. Section 3 recalls some basic definitions and certain auxiliary results. Sections 4 and 5 are devoted respectively to well-basedness and long-time behaviour.
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    well-posedness
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    maximal regularity
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    Cahn-Hilliard equation with memory
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    long time behaviour
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    integro-differential equations
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    phase field system
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    Łojasiewicz-Simon inequality
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    convergence to equilibrium
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