Study of Solution of Energy for a Nonlocal Semilinear Parabolic Modelling

DOI

10.2991/mmsa-18.2018.66How to use a DOI?

Keywords

positive initial energy; parabolic modeling; blowup

Abstract

In this paper, author studies of solution the energy for a nonlocal semilinear parabolic modeling. This modeling of equation that describes some phenomena of biological sciences is given. The author solves some problems involved in the model. First, the definition of energy is introduced. Secondly, the nonlocal parabolic equation with positive initial energy is considered. Finally, the existence and blow-up of initial energy of solution are given.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhongyang Qiao
AU  - Jibing Zhang
AU  - Yunzhu Gao
PY  - 2018/03
DA  - 2018/03
TI  - Study of Solution of Energy for a Nonlocal Semilinear Parabolic Modelling
BT  - Proceedings of the 2018 International Conference on Mathematics, Modelling, Simulation and Algorithms (MMSA 2018)
PB  - Atlantis Press
SP  - 299
EP  - 302
SN  - 1951-6851
UR  - https://doi.org/10.2991/mmsa-18.2018.66
DO  - 10.2991/mmsa-18.2018.66
ID  - Qiao2018/03
ER  -