Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity
The Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. By using analytic techniques, one proves the Gevrey regularity of the C∞ solutions in non-Maxwellian and strong singularity cases.
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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/10.1155/2014/584169 |
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| _version_ | 1832556084448985088 |
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| author | Shi-you Lin |
| author_facet | Shi-you Lin |
| author_sort | Shi-you Lin |
| collection | DOAJ |
| description | The Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. By using analytic techniques, one proves the Gevrey regularity of the C∞ solutions in non-Maxwellian and strong singularity cases. |
| format | Article |
| id | doaj-art-addbfdee6d844042b05d0867684af506 |
| 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-addbfdee6d844042b05d0867684af5062025-02-03T05:46:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/584169584169Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong SingularityShi-you Lin0School of Mathematics and Statistics, Hainan Normal University, Haikou, Hainan 571158, ChinaThe Cauchy problem of the nonlinear spatially homogeneous Boltzmann equation without angular cutoff is studied. By using analytic techniques, one proves the Gevrey regularity of the C∞ solutions in non-Maxwellian and strong singularity cases.http://dx.doi.org/10.1155/2014/584169 |
| spellingShingle | Shi-you Lin Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity Abstract and Applied Analysis |
| title | Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity |
| title_full | Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity |
| title_fullStr | Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity |
| title_full_unstemmed | Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity |
| title_short | Gevrey Regularity for the Noncutoff Nonlinear Homogeneous Boltzmann Equation with Strong Singularity |
| title_sort | gevrey regularity for the noncutoff nonlinear homogeneous boltzmann equation with strong singularity |
| url | http://dx.doi.org/10.1155/2014/584169 |
| work_keys_str_mv | AT shiyoulin gevreyregularityforthenoncutoffnonlinearhomogeneousboltzmannequationwithstrongsingularity |