Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term
In this paper, we study the pointwise estimates of solutions to the viscous Cahn-Hilliard equation with the inertial term in multidimensions. We use Green’s function method. Our approach is based on a detailed analysis on the Green’s function of the linear system. And we get the solution’s Lp conver...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5340737 |
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| _version_ | 1832565976214798336 |
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| author | Nianying Li Li Yin Honglian You |
| author_facet | Nianying Li Li Yin Honglian You |
| author_sort | Nianying Li |
| collection | DOAJ |
| description | In this paper, we study the pointwise estimates of solutions to the viscous Cahn-Hilliard equation with the inertial term in multidimensions. We use Green’s function method. Our approach is based on a detailed analysis on the Green’s function of the linear system. And we get the solution’s Lp convergence rate. |
| format | Article |
| id | doaj-art-202b400334f540cfaad8a520578874f5 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-202b400334f540cfaad8a520578874f52025-02-03T01:05:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/53407375340737Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial TermNianying Li0Li Yin1Honglian You2College of Science, Binzhou University, Binzhou City, Shandong Province 256603, ChinaCollege of Science, Binzhou University, Binzhou City, Shandong Province 256603, ChinaCollege of Science, Binzhou University, Binzhou City, Shandong Province 256603, ChinaIn this paper, we study the pointwise estimates of solutions to the viscous Cahn-Hilliard equation with the inertial term in multidimensions. We use Green’s function method. Our approach is based on a detailed analysis on the Green’s function of the linear system. And we get the solution’s Lp convergence rate.http://dx.doi.org/10.1155/2020/5340737 |
| spellingShingle | Nianying Li Li Yin Honglian You Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term Journal of Function Spaces |
| title | Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term |
| title_full | Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term |
| title_fullStr | Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term |
| title_full_unstemmed | Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term |
| title_short | Pointwise Estimates of Solutions for the Viscous Cahn-Hilliard Equation with Inertial Term |
| title_sort | pointwise estimates of solutions for the viscous cahn hilliard equation with inertial term |
| url | http://dx.doi.org/10.1155/2020/5340737 |
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