A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions
Abstract In this paper, we consider a quasilinear viscoelastic wave equation with acoustic boundary conditions. Under some appropriate assumption on the relaxation function g, the function Φ, p>max{ρ+2,m,q,2} $p > \max \{ \rho +2, m, q,2\}$, and the initial data, we prove a global nonexistence...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1057-0 |
| _version_ | 1819017370412253184 |
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| author | Yong Han Kang Jong Yeoul Park Daewook Kim |
| author_facet | Yong Han Kang Jong Yeoul Park Daewook Kim |
| author_sort | Yong Han Kang |
| collection | DOAJ |
| description | Abstract In this paper, we consider a quasilinear viscoelastic wave equation with acoustic boundary conditions. Under some appropriate assumption on the relaxation function g, the function Φ, p>max{ρ+2,m,q,2} $p > \max \{ \rho +2, m, q,2\}$, and the initial data, we prove a global nonexistence of solutions for a quasilinear viscoelastic wave equation with positive initial energy. |
| first_indexed | 2024-12-21T03:02:27Z |
| format | Article |
| id | doaj.art-4d2a4c8932ed4d94ade0464fff022cd4 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-21T03:02:27Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-4d2a4c8932ed4d94ade0464fff022cd42022-12-21T19:18:08ZengSpringerOpenBoundary Value Problems1687-27702018-09-012018111910.1186/s13661-018-1057-0A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditionsYong Han Kang0Jong Yeoul Park1Daewook Kim2Institute of Basic Liberal Educations, Catholic University of DaeguDepartment of Mathematics, Pusan National UniversityDepartment of Mathematics and Education, Seowon UniversityAbstract In this paper, we consider a quasilinear viscoelastic wave equation with acoustic boundary conditions. Under some appropriate assumption on the relaxation function g, the function Φ, p>max{ρ+2,m,q,2} $p > \max \{ \rho +2, m, q,2\}$, and the initial data, we prove a global nonexistence of solutions for a quasilinear viscoelastic wave equation with positive initial energy.http://link.springer.com/article/10.1186/s13661-018-1057-0Global nonexistence of solutionBlow-up of solutionQuasilinear viscoelastic wave equationAcoustic boundary conditions |
| spellingShingle | Yong Han Kang Jong Yeoul Park Daewook Kim A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions Boundary Value Problems Global nonexistence of solution Blow-up of solution Quasilinear viscoelastic wave equation Acoustic boundary conditions |
| title | A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions |
| title_full | A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions |
| title_fullStr | A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions |
| title_full_unstemmed | A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions |
| title_short | A global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions |
| title_sort | global nonexistence of solutions for a quasilinear viscoelastic wave equation with acoustic boundary conditions |
| topic | Global nonexistence of solution Blow-up of solution Quasilinear viscoelastic wave equation Acoustic boundary conditions |
| url | http://link.springer.com/article/10.1186/s13661-018-1057-0 |
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