Local and blowing-up solutions for an integro-differential diffusion equation and system
- Author
- Meiirkhan Borikhanov (UGent) and Berikbol Torebek (UGent)
- Organization
- Project
- Abstract
- In the present paper, the semilinear integro-differential diffusion equation and system with singular in time sources are considered. An analog of Duhamel’s principle for the linear integro-differential diffusion equation is proved. Using Duhamel’s principle, a representation of the solution and the well-posedness of the initial problem for the linear integro-differential diffusion equation are established. The results on the existence of local integral solutions and the nonexistence of global solutions to the semilinear integro-differential diffusion equation and system are presented.
- Keywords
- General Mathematics, Blow-up, Global weak solution, Integral solution, Integro-differential diffusion equation, GENERALIZED 2ND-GRADE FLUID, RAYLEIGH-STOKES PROBLEM, GLOBAL-SOLUTIONS, CRITICAL EXPONENTS, HEAT-EQUATION, NONEXISTENCE, EXISTENCE, PRINCIPLE
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8713848
- MLA
- Borikhanov, Meiirkhan, and Berikbol Torebek. “Local and Blowing-up Solutions for an Integro-Differential Diffusion Equation and System.” CHAOS SOLITONS & FRACTALS, vol. 148, 2021, doi:10.1016/j.chaos.2021.111041.
- APA
- Borikhanov, M., & Torebek, B. (2021). Local and blowing-up solutions for an integro-differential diffusion equation and system. CHAOS SOLITONS & FRACTALS, 148. https://doi.org/10.1016/j.chaos.2021.111041
- Chicago author-date
- Borikhanov, Meiirkhan, and Berikbol Torebek. 2021. “Local and Blowing-up Solutions for an Integro-Differential Diffusion Equation and System.” CHAOS SOLITONS & FRACTALS 148. https://doi.org/10.1016/j.chaos.2021.111041.
- Chicago author-date (all authors)
- Borikhanov, Meiirkhan, and Berikbol Torebek. 2021. “Local and Blowing-up Solutions for an Integro-Differential Diffusion Equation and System.” CHAOS SOLITONS & FRACTALS 148. doi:10.1016/j.chaos.2021.111041.
- Vancouver
- 1.Borikhanov M, Torebek B. Local and blowing-up solutions for an integro-differential diffusion equation and system. CHAOS SOLITONS & FRACTALS. 2021;148.
- IEEE
- [1]M. Borikhanov and B. Torebek, “Local and blowing-up solutions for an integro-differential diffusion equation and system,” CHAOS SOLITONS & FRACTALS, vol. 148, 2021.
@article{8713848,
abstract = {{In the present paper, the semilinear integro-differential diffusion equation and system with singular in time sources are considered. An analog of Duhamel’s principle for the linear integro-differential diffusion equation is proved. Using Duhamel’s principle, a representation of the solution and the well-posedness of the initial problem for the linear integro-differential diffusion equation are established. The results on the existence of local integral solutions and the nonexistence of global solutions to the semilinear integro-differential diffusion equation and system are presented.}},
articleno = {{111041}},
author = {{Borikhanov, Meiirkhan and Torebek, Berikbol}},
issn = {{0960-0779}},
journal = {{CHAOS SOLITONS & FRACTALS}},
keywords = {{General Mathematics,Blow-up,Global weak solution,Integral solution,Integro-differential diffusion equation,GENERALIZED 2ND-GRADE FLUID,RAYLEIGH-STOKES PROBLEM,GLOBAL-SOLUTIONS,CRITICAL EXPONENTS,HEAT-EQUATION,NONEXISTENCE,EXISTENCE,PRINCIPLE}},
language = {{eng}},
pages = {{18}},
title = {{Local and blowing-up solutions for an integro-differential diffusion equation and system}},
url = {{http://doi.org/10.1016/j.chaos.2021.111041}},
volume = {{148}},
year = {{2021}},
}
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