Asymptotic Behavior of Solutions to the Diffusion Equation

被引：0
|
作者：
Satyanarayana Engu
Ahmed Mohd
Manas Ranjan Sahoo
机构：
[1] National Institute of Technology Karnataka,Department of Mathematical and Computational Sciences
[2] National Institute of Science Education and Research,School of Mathematical Sciences
[3] Homi Bhaba National Institute (HBNI),undefined
[4] Training School Complex,undefined
[5] Anushakti Nagar,undefined
来源：
Indian Journal of Pure and Applied Mathematics | 2018年 / 49卷
关键词：
Asymptotic behavior; Cole-Hopf transformation; heat equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study asymptotic behavior of solutions to an initial value problem posed for heat equation. For which, we construct an approximate solution to the initial value problem in terms of derivatives of Gaussian by incorporating the moments of initial function. Spatial shifts are introduced into the leading order term as well as penultimate term of the approximation. This paper is continuation to the work of Yanagisawa [14].
引用
下载
收藏
页码：601 / 620
页数：19
相关论文
共 50 条
  • [1] Asymptotic Behavior of Solutions to the Diffusion Equation
    Engu, Satyanarayana
    Mohd, Ahmed
    Sahoo, Manas Ranjan
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2018, 49 (04): : 601 - 620
  • [2] Asymptotic Behavior of Solutions of a Periodic Diffusion Equation
    Jiebao Sun
    Boying Wu
    Dazhi Zhang
    Journal of Inequalities and Applications, 2010
  • [3] Asymptotic Behavior of Solutions of a Periodic Diffusion Equation
    Sun, Jiebao
    Wu, Boying
    Zhang, Dazhi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [4] Asymptotic behavior of solutions to the semidiscrete diffusion equation
    Slavik, Antonin
    APPLIED MATHEMATICS LETTERS, 2020, 106 (106)
  • [5] Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation
    Slavik, Antonin
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (09) : 1 - 9
  • [6] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF A NONLINEAR DIFFUSION EQUATION
    VANDUYN, CJ
    PELETIER, LA
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1977, 65 (04) : 363 - 377
  • [7] Fast solutions and asymptotic behavior in a reaction-diffusion equation
    Arias, Margarita
    Campos, Juan
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (10) : 5406 - 5439
  • [8] ASYMPTOTIC-BEHAVIOR OF THE SOLUTIONS OF A CONVECTION-DIFFUSION EQUATION
    ESCOBEDO, M
    ZUAZUA, E
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1989, 309 (06): : 329 - 334
  • [9] Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source
    Shimojo, Masahiko
    Takac, Peter
    Yanagida, Eiji
    MATHEMATISCHE ANNALEN, 2018, 372 (1-2) : 429 - 449
  • [10] Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source
    Masahiko Shimojo
    Peter Takáč
    Eiji Yanagida
    Mathematische Annalen, 2018, 372 : 429 - 449
12345