TY  - JOUR
T1  - Exponential growth of solutions for a parabolic system
AU  - Ekinci, Fatma
AU  - Pişkin, Erhan
PY  - 2019
DA  - December
JF  - Journal of Engineering and Technology
JO  - JETECH
PB  - Batman University
WT  - DergiPark
SN  - 2619-9483
SP  - 29
EP  - 34
VL  - 3
IS  - 2
LA  - en
AB  - In this paper, we investigated the initial boundary problem of a class of doubly nonlinear parabolicsystems. We prove exponential growth of solution with negative initial energy.
KW  - Exponential growth
CR  - 1. Pang J, Qiao B. Blow-up of solution for initial boundary value problem of reaction diffusion equations. Journal of Advances in Mathematics 2015;10(1):3138-3144.
CR  - 2.Bebernes J, Eberly D. Mathematical Problems from Combustion Theory. Applied Mathematical Science. Springer-Verlag: Berlin; 1989.
CR  - 3. Pao CV. Nonlinear Parabolic and Elliptic Equations. Plenum, New York; 1992.
CR  - 4. Escerh J, Yin Z. Stable equilibra to parabolic systems in unbounded domains. Journal of Nonlinear Mathematical Physics 2004;11(2):243-255.
CR  - 5. Zhou H. Blow-up rates for semilinear reaction-diffusion systems. Journal of Differential Equations 2014;257 :843-867.
CR  - 6. Escher J, Yin Z. On the stability of equilibria to weakly coupled parabolic systems in unbounded domains. Nonlinear Analysis 2005;60:1065-1084.
CR  - 7. Escobedo M, Herrero MA. A semilinear reaction diffusion system in a bounded domain. Annali di Matematica Pura ed Applicata 1993;165:315–336.
CR  - 8. Escobedo M, Levine HA. Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations. Archive for Rational Mechanics and Analysis 1995;129:47-100.
CR  - 9. Alaa N. Global existence for reaction-diffusion systems with mass control and critical growth with respect to the gradient. Journal of Mathematical Analysis and Applications 2001;253:532-557.
CR  - 10. Wang RN, Tang ZW. Global existence and asymptotic stability of equilibria to reaction-diffusion systems. Journal of Physics A: Mathematical and Theoretical 2009;42, Article ID 235205.
CR  - 11. Yadav OP, Jiwari R. A finite element approach for analysis and computational modelling of coupled reaction diffusion models. Numerical Methods for Partial Differential Equations 2018;1-21.
UR  - https://dergipark.org.tr/en/pub/jetech/issue//634247
L1  - https://dergipark.org.tr/en/download/article-file/890624
ER  -