
Previous Article
Higher order boundary value problems with multiple solutions: examples and techniques
 PROC Home
 This Issue

Next Article
Reduction and chaotic behavior of point vortices on a plane and a sphere
Bifurcations of selfsimilar solutions of the FokkerPlank equations
1.  Department of Mathematics, Howard University, Washington D.C., 20059 
2.  Oak Ridge Institute for Science and Education (ORISE) 8600 Rockville Pike, Bldg. 38A, Rm. 5N511N, Bethesda, MD 20894 
[1] 
Weronika Biedrzycka, Marta TyranKamińska. Selfsimilar solutions of fragmentation equations revisited. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 1327. doi: 10.3934/dcdsb.2018002 
[2] 
Qiaolin He. Numerical simulation and selfsimilar analysis of singular solutions of Prandtl equations. Discrete & Continuous Dynamical Systems  B, 2010, 13 (1) : 101116. doi: 10.3934/dcdsb.2010.13.101 
[3] 
Hyungjin Huh. Selfsimilar solutions to nonlinear Dirac equations and an application to nonuniqueness. Evolution Equations & Control Theory, 2018, 7 (1) : 5360. doi: 10.3934/eect.2018003 
[4] 
Marco Cannone, Grzegorz Karch. On selfsimilar solutions to the homogeneous Boltzmann equation. Kinetic & Related Models, 2013, 6 (4) : 801808. doi: 10.3934/krm.2013.6.801 
[5] 
Hideo Kubo, Kotaro Tsugawa. Global solutions and selfsimilar solutions of the coupled system of semilinear wave equations in three space dimensions. Discrete & Continuous Dynamical Systems  A, 2003, 9 (2) : 471482. doi: 10.3934/dcds.2003.9.471 
[6] 
Jochen Merker, Aleš Matas. Positivity of selfsimilar solutions of doubly nonlinear reactiondiffusion equations. Conference Publications, 2015, 2015 (special) : 817825. doi: 10.3934/proc.2015.0817 
[7] 
Zoran Grujić. Regularity of forwardintime selfsimilar solutions to the 3D NavierStokes equations. Discrete & Continuous Dynamical Systems  A, 2006, 14 (4) : 837843. doi: 10.3934/dcds.2006.14.837 
[8] 
Bendong Lou. Selfsimilar solutions in a sector for a quasilinear parabolic equation. Networks & Heterogeneous Media, 2012, 7 (4) : 857879. doi: 10.3934/nhm.2012.7.857 
[9] 
Shota Sato, Eiji Yanagida. Singular backward selfsimilar solutions of a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  S, 2011, 4 (4) : 897906. doi: 10.3934/dcdss.2011.4.897 
[10] 
Marek Fila, Michael Winkler, Eiji Yanagida. Convergence to selfsimilar solutions for a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 2008, 21 (3) : 703716. doi: 10.3934/dcds.2008.21.703 
[11] 
Adrien Blanchet, Philippe Laurençot. Finite mass selfsimilar blowingup solutions of a chemotaxis system with nonlinear diffusion. Communications on Pure & Applied Analysis, 2012, 11 (1) : 4760. doi: 10.3934/cpaa.2012.11.47 
[12] 
K. T. Joseph, Philippe G. LeFloch. Boundary layers in weak solutions of hyperbolic conservation laws II. selfsimilar vanishing diffusion limits. Communications on Pure & Applied Analysis, 2002, 1 (1) : 5176. doi: 10.3934/cpaa.2002.1.51 
[13] 
Meiyue Jiang, Juncheng Wei. $2\pi$Periodic selfsimilar solutions for the anisotropic affine curve shortening problem II. Discrete & Continuous Dynamical Systems  A, 2016, 36 (2) : 785803. doi: 10.3934/dcds.2016.36.785 
[14] 
Thomas Y. Hou, Ruo Li. Nonexistence of locally selfsimilar blowup for the 3D incompressible NavierStokes equations. Discrete & Continuous Dynamical Systems  A, 2007, 18 (4) : 637642. doi: 10.3934/dcds.2007.18.637 
[15] 
Dongho Chae, Kyungkeun Kang, Jihoon Lee. Notes on the asymptotically selfsimilar singularities in the Euler and the NavierStokes equations. Discrete & Continuous Dynamical Systems  A, 2009, 25 (4) : 11811193. doi: 10.3934/dcds.2009.25.1181 
[16] 
D. G. Aronson. Selfsimilar focusing in porous media: An explicit calculation. Discrete & Continuous Dynamical Systems  B, 2012, 17 (6) : 16851691. doi: 10.3934/dcdsb.2012.17.1685 
[17] 
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 
[18] 
Shota Sato, Eiji Yanagida. Forward selfsimilar solution with a moving singularity for a semilinear parabolic equation. Discrete & Continuous Dynamical Systems  A, 2010, 26 (1) : 313331. doi: 10.3934/dcds.2010.26.313 
[19] 
L. Olsen. Rates of convergence towards the boundary of a selfsimilar set. Discrete & Continuous Dynamical Systems  A, 2007, 19 (4) : 799811. doi: 10.3934/dcds.2007.19.799 
[20] 
Rostislav Grigorchuk, Volodymyr Nekrashevych. Selfsimilar groups, operator algebras and Schur complement. Journal of Modern Dynamics, 2007, 1 (3) : 323370. doi: 10.3934/jmd.2007.1.323 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]