Research Article
Year 2019,
Volume: 3 Issue: 2, 29 - 34, 25.12.2019
Abstract
References
- 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.
- 2.Bebernes J, Eberly D. Mathematical Problems from Combustion Theory. Applied Mathematical Science. Springer-Verlag: Berlin; 1989.
- 3. Pao CV. Nonlinear Parabolic and Elliptic Equations. Plenum, New York; 1992.
- 4. Escerh J, Yin Z. Stable equilibra to parabolic systems in unbounded domains. Journal of Nonlinear Mathematical Physics 2004;11(2):243-255.
- 5. Zhou H. Blow-up rates for semilinear reaction-diffusion systems. Journal of Differential Equations 2014;257 :843-867.
- 6. Escher J, Yin Z. On the stability of equilibria to weakly coupled parabolic systems in unbounded domains. Nonlinear Analysis 2005;60:1065-1084.
- 7. Escobedo M, Herrero MA. A semilinear reaction diffusion system in a bounded domain. Annali di Matematica Pura ed Applicata 1993;165:315336.
- 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.
- 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.
- 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.
- 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.
Year 2019,
Volume: 3 Issue: 2, 29 - 34, 25.12.2019
Abstract
In this paper, we investigated the initial boundary problem of a class of doubly nonlinear parabolic systems. We prove exponential growth of solution with negative initial energy.
Keywords
References
- 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.
- 2.Bebernes J, Eberly D. Mathematical Problems from Combustion Theory. Applied Mathematical Science. Springer-Verlag: Berlin; 1989.
- 3. Pao CV. Nonlinear Parabolic and Elliptic Equations. Plenum, New York; 1992.
- 4. Escerh J, Yin Z. Stable equilibra to parabolic systems in unbounded domains. Journal of Nonlinear Mathematical Physics 2004;11(2):243-255.
- 5. Zhou H. Blow-up rates for semilinear reaction-diffusion systems. Journal of Differential Equations 2014;257 :843-867.
- 6. Escher J, Yin Z. On the stability of equilibria to weakly coupled parabolic systems in unbounded domains. Nonlinear Analysis 2005;60:1065-1084.
- 7. Escobedo M, Herrero MA. A semilinear reaction diffusion system in a bounded domain. Annali di Matematica Pura ed Applicata 1993;165:315336.
- 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.
- 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.
- 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.
- 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.
There are 11 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | December 25, 2019 |
| Published in Issue | Year 2019 Volume: 3 Issue: 2 |