Global existence for the conserved phase field model with memory and quadratic nonlinearity (Q5946166)
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scientific article; zbMATH DE number 1658432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence for the conserved phase field model with memory and quadratic nonlinearity |
scientific article; zbMATH DE number 1658432 |
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Global existence for the conserved phase field model with memory and quadratic nonlinearity (English)
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29 November 2001
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The authors consider a nonlinear system describing the heat diffusion process inside a homogeneous material possibly leading to a phase transition. The system consists of a second-order integro-differential equation (derived from the balance of energy), a fourth-order parabolic inclusion (ruling the evolution of the order parameter) and homogeneous Neumann boundary conditions. The authors prove an existence result for the above system using variational methods.
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integro-differential evolution system
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heat transfer with memory
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parabolic inclusion
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Neumann boundary conditions
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existence
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