Global Existence for Stochastic Strongly Dissipative Zakharov Equations
The stochastic strongly dissipative Zakharov equations with white noise are studied. On the basis of the time uniform a priori estimates, we prove the existence and uniqueness of solutions in energy spaces E1 and E2, by using the standard Galerkin approximation method of stochastic partial different...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/2359780 |
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| _version_ | 1850161385306062848 |
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| author | Xueqin Wang Yadong Shang Chunlin Lei |
| author_facet | Xueqin Wang Yadong Shang Chunlin Lei |
| author_sort | Xueqin Wang |
| collection | DOAJ |
| description | The stochastic strongly dissipative Zakharov equations with white noise are studied. On the basis of the time uniform a priori estimates, we prove the existence and uniqueness of solutions in energy spaces E1 and E2, by using the standard Galerkin approximation method of stochastic partial differential equations. |
| format | Article |
| id | doaj-art-fff7b0f4a2ca4b70ad05f5e237342c65 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-fff7b0f4a2ca4b70ad05f5e237342c652025-08-20T02:22:50ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/23597802359780Global Existence for Stochastic Strongly Dissipative Zakharov EquationsXueqin Wang0Yadong Shang1Chunlin Lei2College of Mathematics and Informatics, South China, Agricultural University, Guangzhou, 510642 Guangdong, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006 Guangdong, ChinaCollege of Mathematics and Informatics, South China, Agricultural University, Guangzhou, 510642 Guangdong, ChinaThe stochastic strongly dissipative Zakharov equations with white noise are studied. On the basis of the time uniform a priori estimates, we prove the existence and uniqueness of solutions in energy spaces E1 and E2, by using the standard Galerkin approximation method of stochastic partial differential equations.http://dx.doi.org/10.1155/2020/2359780 |
| spellingShingle | Xueqin Wang Yadong Shang Chunlin Lei Global Existence for Stochastic Strongly Dissipative Zakharov Equations Advances in Mathematical Physics |
| title | Global Existence for Stochastic Strongly Dissipative Zakharov Equations |
| title_full | Global Existence for Stochastic Strongly Dissipative Zakharov Equations |
| title_fullStr | Global Existence for Stochastic Strongly Dissipative Zakharov Equations |
| title_full_unstemmed | Global Existence for Stochastic Strongly Dissipative Zakharov Equations |
| title_short | Global Existence for Stochastic Strongly Dissipative Zakharov Equations |
| title_sort | global existence for stochastic strongly dissipative zakharov equations |
| url | http://dx.doi.org/10.1155/2020/2359780 |
| work_keys_str_mv | AT xueqinwang globalexistenceforstochasticstronglydissipativezakharovequations AT yadongshang globalexistenceforstochasticstronglydissipativezakharovequations AT chunlinlei globalexistenceforstochasticstronglydissipativezakharovequations |