双参数奇摄动非线性反应扩散问题

陈怀军; 莫嘉琪

doi:10.7498/aps.59.4409

摘要

讨论了一类具有双参数的非线性反应扩散方程奇摄动初始边值问题. 在适当的假设下, 构造了解的渐近展开式并讨论了它的渐近性态.

关键词:

非线性 /
两参数 /
奇摄动

A class of singularly perturbed initial boundary value problems for nonlinear reaction diffusion equations with two parameters are considered. Under suitable conditions, the asymptotic expansion of the solution is constructed and the asymptotic behaviors of the solution are discussed.

Keywords:

作者及机构信息

1.
安徽师范大学数学系,芜湖 241000

基金项目: 国家自然科学基金(批准号:40876010)、中国科学院知识创新工程重要方向性项目(批准号:KZCX2-YW-Q03-08) 、大气科学和地球流体力学数值模拟国家重点实验室专项经费、国家自然科学基金青年科学基金(批准号:40906013)、安徽省高校自然科学基金(批准号:KJ2010A128,KJ2010B360)和浙江省自然科学基金(批准号:Y6090164) 资助的课题.

Authors and contacts

1.
Department of Mathematics, Anhui Normal University, Wuhu 241000, China

参考文献

[1]	Guarguaglini F R, Natalini R 2007 Partial Diff. Eqns. 32 163
[2]	Shao S 2007 Nonlinear Anal. Theory Methods Appl. 66 A 271
[3]	Ni W M,Wei J C 2006 J. Diff. Eqns. 221 158
[4]	Khasminskii R Z, Yin G 2005 J. Diff. Eqns. 212 85
[5]	Marques I 2005 Nonlinear Anal. 61 21
[6]	Bobkova A S 2005 Diff. Eqns. 41 23
[7]	Sagon G 2008 Nonlinearity 21 1183
[8]	Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[9]	Mo J Q 1993 J. Math. Anal. Appl. 178 289
[10]	Mo J Q 1989 Sci. Chin. Ser. A 32 1306
[11]	Mo J Q, Lin W T 2006 Acta Math. Appl. Sin. 22 277
[12]	Mo J Q, Tang R R 2007 Acta Math. Sci. 27 296
[13]	Mo J Q, Shao S 2001 Adv. Math. 30 141
[14]	Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[15]	Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[16]	Mo J Q, Zhu J, Wang H 2008 Prog. Natl. Sci. 18 768
[17]	Mo J Q 2009 Chin. Phys. Lett. 26 060202
[18]	Mo J Q 2009 Chin. Phys. Lett. 26 010204
[19]	Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、张伟江、何铭 2007 物理学报 56 1843]
[20]	Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪、张伟江、陈贤峰 2007 物理学报 56 6169]
[21]	Mo J Q, Cheng Y 2009 Acta Phys. Sin. 584379 (in Chinese) [莫嘉琪、程燕 2009 物理学报 58 4379]
[22]	Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、张伟江、何铭 2006 物理学报 55 3233]
[23]	Mo J Q 2009 Sci. Chin.Ser. G 52 1007
[24]	Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[25]	Mo J Q, Lin W T, Wang H 2007 Prog. Natl. Sci. 17 230
[26]	Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、林万涛、林一骅 2007 物理学报 56 3127]
[27]	Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[28]	Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[29]	Mo J Q, Lin W T 2008 Acta Phys. Sin. 576689 (in Chinese) [莫嘉琪、林万涛 2008物理学报 57 6689]
[30]	Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[31]	Mo J Q, Lin W T 2008 Chin. Phys. B17 743

施引文献

[1]	Guarguaglini F R, Natalini R 2007 Partial Diff. Eqns. 32 163
[2]	Shao S 2007 Nonlinear Anal. Theory Methods Appl. 66 A 271
[3]	Ni W M,Wei J C 2006 J. Diff. Eqns. 221 158
[4]	Khasminskii R Z, Yin G 2005 J. Diff. Eqns. 212 85
[5]	Marques I 2005 Nonlinear Anal. 61 21
[6]	Bobkova A S 2005 Diff. Eqns. 41 23
[7]	Sagon G 2008 Nonlinearity 21 1183
[8]	Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[9]	Mo J Q 1993 J. Math. Anal. Appl. 178 289
[10]	Mo J Q 1989 Sci. Chin. Ser. A 32 1306
[11]	Mo J Q, Lin W T 2006 Acta Math. Appl. Sin. 22 277
[12]	Mo J Q, Tang R R 2007 Acta Math. Sci. 27 296
[13]	Mo J Q, Shao S 2001 Adv. Math. 30 141
[14]	Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[15]	Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[16]	Mo J Q, Zhu J, Wang H 2008 Prog. Natl. Sci. 18 768
[17]	Mo J Q 2009 Chin. Phys. Lett. 26 060202
[18]	Mo J Q 2009 Chin. Phys. Lett. 26 010204
[19]	Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、张伟江、何铭 2007 物理学报 56 1843]
[20]	Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪、张伟江、陈贤峰 2007 物理学报 56 6169]
[21]	Mo J Q, Cheng Y 2009 Acta Phys. Sin. 584379 (in Chinese) [莫嘉琪、程燕 2009 物理学报 58 4379]
[22]	Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、张伟江、何铭 2006 物理学报 55 3233]
[23]	Mo J Q 2009 Sci. Chin.Ser. G 52 1007
[24]	Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[25]	Mo J Q, Lin W T, Wang H 2007 Prog. Natl. Sci. 17 230
[26]	Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、林万涛、林一骅 2007 物理学报 56 3127]
[27]	Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[28]	Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[29]	Mo J Q, Lin W T 2008 Acta Phys. Sin. 576689 (in Chinese) [莫嘉琪、林万涛 2008物理学报 57 6689]
[30]	Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[31]	Mo J Q, Lin W T 2008 Chin. Phys. B17 743

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双参数奇摄动非线性反应扩散问题

Singularly perturbed nonlinear reaction diffusion problem with two parameters

摘要

Abstract

作者及机构信息

1.
安徽师范大学数学系,芜湖 241000

Authors and contacts

1.
Department of Mathematics, Anhui Normal University, Wuhu 241000, China

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双参数奇摄动非线性反应扩散问题

Singularly perturbed nonlinear reaction diffusion problem with two parameters

摘要

Abstract

作者及机构信息

1. 安徽师范大学数学系,芜湖 241000

Authors and contacts

1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China

参考文献

施引文献

目录

计量

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作者中心

审稿中心

关于期刊

关于我们

1.
安徽师范大学数学系,芜湖 241000

1.
Department of Mathematics, Anhui Normal University, Wuhu 241000, China