On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation
Assuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existen...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/264162 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568186661240832 |
|---|---|
| author | Haibo Yan Ls Yong Yu Yang Yang Wang |
| author_facet | Haibo Yan Ls Yong Yu Yang Yang Wang |
| author_sort | Haibo Yan |
| collection | DOAJ |
| description | Assuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existence. |
| format | Article |
| id | doaj-art-f33c6cb2443b40f5b268ef02bc243a5e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f33c6cb2443b40f5b268ef02bc243a5e2025-02-03T00:59:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/264162264162On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave EquationHaibo Yan0Ls Yong1Yu Yang2Yang Wang3Department of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaDepartment of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaDepartment of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaDepartment of Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaAssuming that the initial value v0(x) belongs to the space H1(R), we prove the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation in the space C([0,∞)×R)⋂L∞([0,∞);H1(R)). The limit of the viscous approximation for the equation is used to establish the existence.http://dx.doi.org/10.1155/2014/264162 |
| spellingShingle | Haibo Yan Ls Yong Yu Yang Yang Wang On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation Journal of Applied Mathematics |
| title | On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation |
| title_full | On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation |
| title_fullStr | On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation |
| title_full_unstemmed | On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation |
| title_short | On the Existence of Global Weak Solutions for a Weakly Dissipative Hyperelastic Rod Wave Equation |
| title_sort | on the existence of global weak solutions for a weakly dissipative hyperelastic rod wave equation |
| url | http://dx.doi.org/10.1155/2014/264162 |
| work_keys_str_mv | AT haiboyan ontheexistenceofglobalweaksolutionsforaweaklydissipativehyperelasticrodwaveequation AT lsyong ontheexistenceofglobalweaksolutionsforaweaklydissipativehyperelasticrodwaveequation AT yuyang ontheexistenceofglobalweaksolutionsforaweaklydissipativehyperelasticrodwaveequation AT yangwang ontheexistenceofglobalweaksolutionsforaweaklydissipativehyperelasticrodwaveequation |