
Previous Article
A model of granular flows over an erodible surface
 DCDSB Home
 This Issue

Next Article
Lack of hyperbolicity in the twofluid model for twophase incompressible flow
Decay of solutions to nonlinear parabolic equations: renormalization and rigorous results
1.  Department of Mathematics, University of Pittsburg, Pittsburgh, PA 15260, United States 
2.  Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, United States 
[1] 
P. R. Zingano. Asymptotic behavior of the $L^1$ norm of solutions to nonlinear parabolic equations. Communications on Pure & Applied Analysis, 2004, 3 (1) : 151159. doi: 10.3934/cpaa.2004.3.151 
[2] 
ChiuYa Lan, ChiKun Lin. Asymptotic behavior of the compressible viscous potential fluid: Renormalization group approach. Discrete & Continuous Dynamical Systems  A, 2004, 11 (1) : 161188. doi: 10.3934/dcds.2004.11.161 
[3] 
G. A. Braga, Frederico Furtado, Jussara M. Moreira, Leonardo T. Rolla. Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients: Analytical results. Discrete & Continuous Dynamical Systems  B, 2007, 7 (4) : 699715. doi: 10.3934/dcdsb.2007.7.699 
[4] 
Lie Zheng. Asymptotic behavior of solutions to the nonlinear breakage equations. Communications on Pure & Applied Analysis, 2005, 4 (2) : 463473. doi: 10.3934/cpaa.2005.4.463 
[5] 
Chunqing Lu. Asymptotic solutions of a nonlinear equation. Conference Publications, 2003, 2003 (Special) : 590595. doi: 10.3934/proc.2003.2003.590 
[6] 
Huijiang Zhao. Large time decay estimates of solutions of nonlinear parabolic equations. Discrete & Continuous Dynamical Systems  A, 2002, 8 (1) : 69114. doi: 10.3934/dcds.2002.8.69 
[7] 
Chunpeng Wang. Boundary behavior and asymptotic behavior of solutions to a class of parabolic equations with boundary degeneracy. Discrete & Continuous Dynamical Systems  A, 2016, 36 (2) : 10411060. doi: 10.3934/dcds.2016.36.1041 
[8] 
Limei Dai. Entire solutions with asymptotic behavior of fully nonlinear uniformly elliptic equations. Communications on Pure & Applied Analysis, 2011, 10 (6) : 17071714. doi: 10.3934/cpaa.2011.10.1707 
[9] 
Peter V. Gordon, Cyrill B. Muratov. Selfsimilarity and longtime behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source. Networks & Heterogeneous Media, 2012, 7 (4) : 767780. doi: 10.3934/nhm.2012.7.767 
[10] 
Zdeněk Skalák. On the asymptotic decay of higherorder norms of the solutions to the NavierStokes equations in R^{3}. Discrete & Continuous Dynamical Systems  S, 2010, 3 (2) : 361370. doi: 10.3934/dcdss.2010.3.361 
[11] 
Thomas Blanc, Mihai Bostan, Franck Boyer. Asymptotic analysis of parabolic equations with stiff transport terms by a multiscale approach. Discrete & Continuous Dynamical Systems  A, 2017, 37 (9) : 46374676. doi: 10.3934/dcds.2017200 
[12] 
G. A. Braga, Frederico Furtado, Vincenzo Isaia. Renormalization group calculation of asymptotically selfsimilar dynamics. Conference Publications, 2005, 2005 (Special) : 131141. doi: 10.3934/proc.2005.2005.131 
[13] 
Minkyu Kwak, Kyong Yu. The asymptotic behavior of solutions of a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 1996, 2 (4) : 483496. doi: 10.3934/dcds.1996.2.483 
[14] 
Shota Sato, Eiji Yanagida. Asymptotic behavior of singular solutions for a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 2012, 32 (11) : 40274043. doi: 10.3934/dcds.2012.32.4027 
[15] 
Kun Wang, Yangping Lin, Yinnian He. Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid. Discrete & Continuous Dynamical Systems  A, 2012, 32 (2) : 657677. doi: 10.3934/dcds.2012.32.657 
[16] 
Hua Chen, Nian Liu. Asymptotic stability and blowup of solutions for semilinear edgedegenerate parabolic equations with singular potentials. Discrete & Continuous Dynamical Systems  A, 2016, 36 (2) : 661682. doi: 10.3934/dcds.2016.36.661 
[17] 
Junde Wu, Shangbin Cui. Asymptotic behavior of solutions for parabolic differential equations with invariance and applications to a free boundary problem modeling tumor growth. Discrete & Continuous Dynamical Systems  A, 2010, 26 (2) : 737765. doi: 10.3934/dcds.2010.26.737 
[18] 
PaoLiu Chow. Asymptotic solutions of a nonlinear stochastic beam equation. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 735749. doi: 10.3934/dcdsb.2006.6.735 
[19] 
Yongqin Liu. Asymptotic behavior of solutions to a nonlinear plate equation with memory. Communications on Pure & Applied Analysis, 2017, 16 (2) : 533556. doi: 10.3934/cpaa.2017027 
[20] 
Irena Lasiecka, W. Heyman. Asymptotic behavior of solutions in nonlinear dynamic elasticity. Discrete & Continuous Dynamical Systems  A, 1995, 1 (2) : 237252. doi: 10.3934/dcds.1995.1.237 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]