Existence of Solution to Initial-Boundary Value Problems of the Cahn-Hilliard Equation with Nonlocal Terms
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Bibliographic record
Abstract
In this paper, inspired from the study on denoising, segmentation and reconstruction in image processing, and combiningwith the theories of two phase flows, we introduce one class of initial-boundary value problem of the Cahn-Hilliardequation with nonlocal terms. Then, by using the Schauder fixed point theorem, we obtain the existence of weak solutionsto this initial boundary value problem for the nonlocal Cahn-Hilliard equation.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.004 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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