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Finitetime blowdown in the evolution of point masses by planar logarithmic diffusion
1.  Departamento de Matemáticas and ICMAT. Universidad Autónoma de Madrid, Cantoblanco. 28049 Madrid, Spain 
[1] 
Vakhtang Putkaradze, Stuart Rogers. Numerical simulations of a rolling ball robot actuated by internal point masses. Numerical Algebra, Control & Optimization, 2020 doi: 10.3934/naco.2020021 
[2] 
Nejib Mahmoudi. Singlepoint blowup for a multicomponent reactiondiffusion system. Discrete & Continuous Dynamical Systems  A, 2018, 38 (1) : 209230. doi: 10.3934/dcds.2018010 
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Michael Herty, Axel Klar, Sébastien Motsch, Ferdinand Olawsky. A smooth model for fiber laydown processes and its diffusion approximations. Kinetic & Related Models, 2009, 2 (3) : 489502. doi: 10.3934/krm.2009.2.489 
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Huyuan Chen, Hichem Hajaiej, Ying Wang. Boundary blowup solutions to fractional elliptic equations in a measure framework. Discrete & Continuous Dynamical Systems  A, 2016, 36 (4) : 18811903. doi: 10.3934/dcds.2016.36.1881 
[5] 
Hua Chen, Huiyang Xu. Global existence and blowup of solutions for infinitely degenerate semilinear pseudoparabolic equations with logarithmic nonlinearity. Discrete & Continuous Dynamical Systems  A, 2019, 39 (2) : 11851203. doi: 10.3934/dcds.2019051 
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Xiumei Deng, Jun Zhou. Global existence and blowup of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity. Communications on Pure & Applied Analysis, 2020, 19 (2) : 923939. doi: 10.3934/cpaa.2020042 
[7] 
Gongwei Liu. The existence, general decay and blowup for a plate equation with nonlinear damping and a logarithmic source term. Electronic Research Archive, 2020, 28 (1) : 263289. doi: 10.3934/era.2020016 
[8] 
Jaeyoung Byeon, Sungwon Cho, Junsang Park. On the location of a peak point of a least energy solution for Hénon equation. Discrete & Continuous Dynamical Systems  A, 2011, 30 (4) : 10551081. doi: 10.3934/dcds.2011.30.1055 
[9] 
Simona Fornaro, Stefano Lisini, Giuseppe Savaré, Giuseppe Toscani. Measure valued solutions of sublinear diffusion equations with a drift term. Discrete & Continuous Dynamical Systems  A, 2012, 32 (5) : 16751707. doi: 10.3934/dcds.2012.32.1675 
[10] 
Fang Li, Kimie Nakashima, WeiMing Ni. Stability from the point of view of diffusion, relaxation and spatial inhomogeneity. Discrete & Continuous Dynamical Systems  A, 2008, 20 (2) : 259274. doi: 10.3934/dcds.2008.20.259 
[11] 
Monica Marras, Stella Vernier Piro. Blowup phenomena in reactiondiffusion systems. Discrete & Continuous Dynamical Systems  A, 2012, 32 (11) : 40014014. doi: 10.3934/dcds.2012.32.4001 
[12] 
Hongwei Chen. Blowup estimates of positive solutions of a reactiondiffusion system. Conference Publications, 2003, 2003 (Special) : 182188. doi: 10.3934/proc.2003.2003.182 
[13] 
Jiao Chen, Weike Wang. The pointwise estimates for the solution of damped wave equation with nonlinear convection in multidimensional space. Communications on Pure & Applied Analysis, 2014, 13 (1) : 307330. doi: 10.3934/cpaa.2014.13.307 
[14] 
Jian Zhang, Shihui Zhu, Xiaoguang Li. Rate of $L^2$concentration of the blowup solution for critical nonlinear Schrödinger equation with potential. Mathematical Control & Related Fields, 2011, 1 (1) : 119127. doi: 10.3934/mcrf.2011.1.119 
[15] 
Shota Sato. Blowup at space infinity of a solution with a moving singularity for a semilinear parabolic equation. Communications on Pure & Applied Analysis, 2011, 10 (4) : 12251237. doi: 10.3934/cpaa.2011.10.1225 
[16] 
Tetsuya Ishiwata, Shigetoshi Yazaki. A fast blowup solution and degenerate pinching arising in an anisotropic crystalline motion. Discrete & Continuous Dynamical Systems  A, 2014, 34 (5) : 20692090. doi: 10.3934/dcds.2014.34.2069 
[17] 
Frédéric Abergel, JeanMichel Rakotoson. Gradient blowup in Zygmund spaces for the very weak solution of a linear elliptic equation. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 18091818. doi: 10.3934/dcds.2013.33.1809 
[18] 
ShinIchiro Ei, Toshio Ishimoto. Effect of boundary conditions on the dynamics of a pulse solution for reactiondiffusion systems. Networks & Heterogeneous Media, 2013, 8 (1) : 191209. doi: 10.3934/nhm.2013.8.191 
[19] 
Manh Hong Duong, Hoang Minh Tran. On the fundamental solution and a variational formulation for a degenerate diffusion of Kolmogorov type. Discrete & Continuous Dynamical Systems  A, 2018, 38 (7) : 34073438. doi: 10.3934/dcds.2018146 
[20] 
G. Bellettini, Giorgio Fusco, Nicola Guglielmi. A concept of solution and numerical experiments for forwardbackward diffusion equations. Discrete & Continuous Dynamical Systems  A, 2006, 16 (4) : 783842. doi: 10.3934/dcds.2006.16.783 
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