Blow-up in higher dimensions

Nonlinear Wave Equations, Formation of Singularities - University Lecture Series ◽

10.1090/ulect/002/03 ◽

1990 ◽

pp. 16-38

Author(s):

Fritz John

Keyword(s):

Blow Up ◽

Higher Dimensions

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ε-Regularity theorem and its application to the blow-up solutions of Keller–Segel systems in higher dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2009.11.019 ◽

2010 ◽

Vol 364 (1) ◽

pp. 51-70 ◽

Author(s):

Yoshie Sugiyama

Keyword(s):

Blow Up ◽

Higher Dimensions ◽

Regularity Theorem

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Finite time blow-up for the Yang-Mills heat flow in higher dimensions

Mathematische Zeitschrift ◽

10.1007/pl00004871 ◽

2001 ◽

Vol 237 (2) ◽

pp. 321-333 ◽

Author(s):

Joseph F. Grotowski

Keyword(s):

Heat Flow ◽

Finite Time ◽

Blow Up ◽

Higher Dimensions ◽

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Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions

Journal of Differential Equations ◽

10.1016/j.jde.2021.06.024 ◽

2021 ◽

Vol 297 ◽

pp. 144-174

Author(s):

Yūki Naito

Keyword(s):

Blow Up ◽

Higher Dimensions

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Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions

Nonlinearity ◽

10.1088/0951-7715/28/1/167 ◽

2014 ◽

Vol 28 (1) ◽

pp. 167-185 ◽

Author(s):

Paweł Biernat

Keyword(s):

Heat Flow ◽

Blow Up ◽

Harmonic Maps ◽

Higher Dimensions ◽

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Finite time blow up for a solution to system of the drift–diffusion equations in higher dimensions

Mathematische Zeitschrift ◽

10.1007/s00209-016-1654-5 ◽

2016 ◽

Vol 284 (1-2) ◽

pp. 231-253 ◽

Author(s):

Masaki Kurokiba ◽

Takayoshi Ogawa

Keyword(s):

Finite Time ◽

Blow Up ◽

Higher Dimensions ◽

Diffusion Equations ◽

Drift Diffusion

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The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions

Nonlinear Analysis ◽

10.1016/j.na.2021.112445 ◽

2021 ◽

Vol 212 ◽

pp. 112445

Author(s):

Mohamed Ali Hamza ◽

Hatem Zaag

Keyword(s):

Wave Equations ◽

Blow Up ◽

Higher Dimensions ◽

Semilinear Wave Equations ◽

Blow Up Rate ◽

Scaling Invariant

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A blow-up result for a quasilinear chemotaxis system with logistic source in higher dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.04.015 ◽

2018 ◽

Vol 464 (1) ◽

pp. 435-455 ◽

Author(s):

Ke Lin ◽

Chunlai Mu ◽

Hua Zhong

Keyword(s):

Blow Up ◽

Higher Dimensions ◽

Logistic Source ◽

Chemotaxis System

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On blow-up loci of instantons in higher dimensions

10.47749/t/unicamp.2016.970615 ◽

2016 ◽

Author(s):

Daniel Gomes Fadel

Keyword(s):

Blow Up ◽

Higher Dimensions

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Local well-posedness and finite time blow-up of solutions to an attraction–repulsion chemotaxis system in higher dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2022.126009 ◽

2022 ◽

pp. 126009

Author(s):

Tatsuya Hosono ◽

Takayoshi Ogawa

Keyword(s):

Finite Time ◽

Blow Up ◽

Higher Dimensions ◽

Well Posedness ◽

Chemotaxis System

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Positive solutions for a quasilinear system Via blow up

Communications in Algebra ◽

10.1080/00927879308824124 ◽

1993 ◽

Vol 18 (12) ◽

pp. 2071-2106

Author(s):

Philippe Clément ◽

Raúl Manásevich ◽

Enzo Mitidieri

Keyword(s):

Positive Solutions ◽

Blow Up ◽

Quasilinear System

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