Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime
The main goal of this paper is to study blow-up of solutions of a weakly coupled system for semilinear wave equations with damping terms and mass terms in the de Sitter spacetime. The exponential, polynomial, and logarithmic growth of time-dependent factors in nonlinear terms are investigated by usi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/ddns/5523776 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832592961319206912 |
|---|---|
| author | Jie Yang Xia Ma Caiyun Liu |
| author_facet | Jie Yang Xia Ma Caiyun Liu |
| author_sort | Jie Yang |
| collection | DOAJ |
| description | The main goal of this paper is to study blow-up of solutions of a weakly coupled system for semilinear wave equations with damping terms and mass terms in the de Sitter spacetime. The exponential, polynomial, and logarithmic growth of time-dependent factors in nonlinear terms are investigated by using iterative methods, respectively. Upper bound lifespan estimates of solutions to the problem are established. To the best of our knowledge, the results in Theorems 1.1–1.3 are new. In particular, the critical curve for exponents p,q in nonlinear terms in this problem is same as the critical curve for a weakly coupled system of semilinear wave equations with power nonlinearities. In addition, wave trends are expressed by numerical simulation. |
| format | Article |
| id | doaj-art-d1573f0234204e48bef4ce2505aec906 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d1573f0234204e48bef4ce2505aec9062025-01-21T00:00:03ZengWileyDiscrete Dynamics in Nature and Society1607-887X2025-01-01202510.1155/ddns/5523776Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter SpacetimeJie Yang0Xia Ma1Caiyun Liu2Department of ScienceDepartment of ScienceDepartment of ScienceThe main goal of this paper is to study blow-up of solutions of a weakly coupled system for semilinear wave equations with damping terms and mass terms in the de Sitter spacetime. The exponential, polynomial, and logarithmic growth of time-dependent factors in nonlinear terms are investigated by using iterative methods, respectively. Upper bound lifespan estimates of solutions to the problem are established. To the best of our knowledge, the results in Theorems 1.1–1.3 are new. In particular, the critical curve for exponents p,q in nonlinear terms in this problem is same as the critical curve for a weakly coupled system of semilinear wave equations with power nonlinearities. In addition, wave trends are expressed by numerical simulation.http://dx.doi.org/10.1155/ddns/5523776 |
| spellingShingle | Jie Yang Xia Ma Caiyun Liu Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime Discrete Dynamics in Nature and Society |
| title | Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime |
| title_full | Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime |
| title_fullStr | Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime |
| title_full_unstemmed | Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime |
| title_short | Blow-Up Results for a Weakly Coupled System of Semilinear Wave Equations in de Sitter Spacetime |
| title_sort | blow up results for a weakly coupled system of semilinear wave equations in de sitter spacetime |
| url | http://dx.doi.org/10.1155/ddns/5523776 |
| work_keys_str_mv | AT jieyang blowupresultsforaweaklycoupledsystemofsemilinearwaveequationsindesitterspacetime AT xiama blowupresultsforaweaklycoupledsystemofsemilinearwaveequationsindesitterspacetime AT caiyunliu blowupresultsforaweaklycoupledsystemofsemilinearwaveequationsindesitterspacetime |