Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient
We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates o...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/927631 |
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| _version_ | 1832552626520064000 |
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| author | Liping Zhu Zhengce Zhang |
| author_facet | Liping Zhu Zhengce Zhang |
| author_sort | Liping Zhu |
| collection | DOAJ |
| description | We consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates on the single-point final dead-core profile. |
| format | Article |
| id | doaj-art-2a8b22a56f5f4177981ef412e2e48fc1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2a8b22a56f5f4177981ef412e2e48fc12025-02-03T05:58:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/927631927631Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent CoefficientLiping Zhu0Zhengce Zhang1College of Science, Xi’an University of Architecture & Technology, Xi’an 710054, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaWe consider the dead-core problem for the fast diffusion equation with spatially dependent coefficient and show that the temporal dead-core rate is non-self-similar. The proof is based on the standard compactness arguments with the uniqueness of the self-similar solutions and the precise estimates on the single-point final dead-core profile.http://dx.doi.org/10.1155/2014/927631 |
| spellingShingle | Liping Zhu Zhengce Zhang Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient Abstract and Applied Analysis |
| title | Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient |
| title_full | Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient |
| title_fullStr | Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient |
| title_full_unstemmed | Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient |
| title_short | Non-Self-Similar Dead-Core Rate for the Fast Diffusion Equation with Dependent Coefficient |
| title_sort | non self similar dead core rate for the fast diffusion equation with dependent coefficient |
| url | http://dx.doi.org/10.1155/2014/927631 |
| work_keys_str_mv | AT lipingzhu nonselfsimilardeadcorerateforthefastdiffusionequationwithdependentcoefficient AT zhengcezhang nonselfsimilardeadcorerateforthefastdiffusionequationwithdependentcoefficient |