Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources
This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow-up is uniform in all compact subsets of the...
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| Format: | Article |
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Hindawi Limited
2007-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/2007/87696 |
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doaj-57445ccb2bdc455d83ac99a056603aad2020-11-25T02:34:34ZengHindawi LimitedDifferential Equations and Nonlinear Mechanics1687-40991687-41022007-01-01200710.1155/2007/8769687696Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal SourcesZhoujin Cui0Zuodong Yang1Institute of Mathematics, School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, Jiangsu 210097, ChinaInstitute of Mathematics, School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, Jiangsu 210097, ChinaThis paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow-up is uniform in all compact subsets of the domain, the blow-up rate of |u(t)|∞ is precisely determined.http://dx.doi.org/10.1155/2007/87696 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhoujin Cui Zuodong Yang |
| spellingShingle |
Zhoujin Cui Zuodong Yang Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources Differential Equations and Nonlinear Mechanics |
| author_facet |
Zhoujin Cui Zuodong Yang |
| author_sort |
Zhoujin Cui |
| title |
Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources |
| title_short |
Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources |
| title_full |
Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources |
| title_fullStr |
Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources |
| title_full_unstemmed |
Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources |
| title_sort |
uniform blow-up rates and asymptotic estimates of solutions for diffusion systems with nonlocal sources |
| publisher |
Hindawi Limited |
| series |
Differential Equations and Nonlinear Mechanics |
| issn |
1687-4099 1687-4102 |
| publishDate |
2007-01-01 |
| description |
This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow-up is uniform in all compact subsets of the domain, the blow-up rate of |u(t)|∞ is precisely determined. |
| url |
http://dx.doi.org/10.1155/2007/87696 |
| work_keys_str_mv |
AT zhoujincui uniformblowupratesandasymptoticestimatesofsolutionsfordiffusionsystemswithnonlocalsources AT zuodongyang uniformblowupratesandasymptoticestimatesofsolutionsfordiffusionsystemswithnonlocalsources |
| _version_ |
1724808042220879872 |