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Numerical approximations of AllenCahn and CahnHilliard equations
Blowup in a subdiffusive medium with advection
1.  Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, United States 
2.  Mathematics, California Polytechnic State University, San Luis Obispo, CA 93407, United States 
3.  Mathematics and Computer Science, College of the Holy Cross, Worcester, MA 01610, United States 
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Keng Deng, Zhihua Dong. Blowup for the heat equation with a general memory boundary condition. Communications on Pure & Applied Analysis, 2012, 11 (5) : 21472156. doi: 10.3934/cpaa.2012.11.2147 
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Yohei Fujishima. Blowup set for a superlinear heat equation and pointedness of the initial data. Discrete & Continuous Dynamical Systems  A, 2014, 34 (11) : 46174645. doi: 10.3934/dcds.2014.34.4617 
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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 
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Alexander Gladkov. Blowup problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition. Communications on Pure & Applied Analysis, 2017, 16 (6) : 20532068. doi: 10.3934/cpaa.2017101 
[5] 
Yohei Fujishima. On the effect of higher order derivatives of initial data on the blowup set for a semilinear heat equation. Communications on Pure & Applied Analysis, 2018, 17 (2) : 449475. doi: 10.3934/cpaa.2018025 
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Van Tien Nguyen. On the blowup results for a class of strongly perturbed semilinear heat equations. Discrete & Continuous Dynamical Systems  A, 2015, 35 (8) : 35853626. doi: 10.3934/dcds.2015.35.3585 
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Alberto Bressan, Massimo Fonte. On the blowup for a discrete Boltzmann equation in the plane. Discrete & Continuous Dynamical Systems  A, 2005, 13 (1) : 112. doi: 10.3934/dcds.2005.13.1 
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Pan Zheng, Chunlai Mu, Xuegang Hu. Boundedness and blowup for a chemotaxis system with generalized volumefilling effect and logistic source. Discrete & Continuous Dynamical Systems  A, 2015, 35 (5) : 22992323. doi: 10.3934/dcds.2015.35.2299 
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Vo Anh Khoa, Le Thi Phuong Ngoc, Nguyen Thanh Long. Existence, blowup and exponential decay of solutions for a porouselastic system with damping and source terms. Evolution Equations & Control Theory, 2019, 8 (2) : 359395. doi: 10.3934/eect.2019019 
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JongShenq Guo. Blowup behavior for a quasilinear parabolic equation with nonlinear boundary condition. Discrete & Continuous Dynamical Systems  A, 2007, 18 (1) : 7184. doi: 10.3934/dcds.2007.18.71 
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Helin Guo, Yimin Zhang, Huansong Zhou. Blowup solutions for a Kirchhoff type elliptic equation with trapping potential. Communications on Pure & Applied Analysis, 2018, 17 (5) : 18751897. doi: 10.3934/cpaa.2018089 
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Dapeng Du, Yifei Wu, Kaijun Zhang. On blowup criterion for the nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems  A, 2016, 36 (7) : 36393650. doi: 10.3934/dcds.2016.36.3639 
[13] 
Pierre Garnier. Damping to prevent the blowup of the kortewegde vries equation. Communications on Pure & Applied Analysis, 2017, 16 (4) : 14551470. doi: 10.3934/cpaa.2017069 
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István Győri, Yukihiko Nakata, Gergely Röst. Unbounded and blowup solutions for a delay logistic equation with positive feedback. Communications on Pure & Applied Analysis, 2018, 17 (6) : 28452854. doi: 10.3934/cpaa.2018134 
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Long Wei, Zhijun Qiao, Yang Wang, Shouming Zhou. Conserved quantities, global existence and blowup for a generalized CH equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (3) : 17331748. doi: 10.3934/dcds.2017072 
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Lili Du, ZhengAn Yao. Localization of blowup points for a nonlinear nonlocal porous medium equation. Communications on Pure & Applied Analysis, 2007, 6 (1) : 183190. doi: 10.3934/cpaa.2007.6.183 
[17] 
Frank Merle, Hatem Zaag. O.D.E. type behavior of blowup solutions of nonlinear heat equations. Discrete & Continuous Dynamical Systems  A, 2002, 8 (2) : 435450. doi: 10.3934/dcds.2002.8.435 
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Lan Qiao, Sining Zheng. Nonsimultaneous blowup for heat equations with positivenegative sources and coupled boundary flux. Communications on Pure & Applied Analysis, 2007, 6 (4) : 11131129. doi: 10.3934/cpaa.2007.6.1113 
[19] 
C. Y. Chan. Recent advances in quenching and blowup of solutions. Conference Publications, 2001, 2001 (Special) : 8895. doi: 10.3934/proc.2001.2001.88 
[20] 
Marina Chugunova, ChiuYen Kao, Sarun Seepun. On the BenilovVynnycky blowup problem. Discrete & Continuous Dynamical Systems  B, 2015, 20 (5) : 14431460. doi: 10.3934/dcdsb.2015.20.1443 
2017 Impact Factor: 1.179
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