Blow-up estimates for a higher-order reaction–diffusion equation with a special diffusion process

Journal of Elliptic and Parabolic Equations ◽

10.1007/s41808-021-00125-w ◽

2021 ◽

Author(s):

Bui Le Trong Thanh ◽

Nguyen Ngoc Trong ◽

Tan Duc Do

Keyword(s):

Diffusion Equation ◽

Diffusion Process ◽

Blow Up ◽

Reaction Diffusion ◽

Higher Order ◽

Order Reaction ◽

Reaction Diffusion Equation

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Five types of blow-up in a semilinear fourth-order reaction–diffusion equation: an analytic–numerical approach

Nonlinearity ◽

10.1088/0951-7715/22/7/012 ◽

2009 ◽

Vol 22 (7) ◽

pp. 1695-1741 ◽

Author(s):

V A Galaktionov

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Blow Up ◽

Reaction Diffusion ◽

Numerical Approach ◽

Order Reaction ◽

Reaction Diffusion Equation

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Blow-up phenomena for a reaction diffusion equation with special diffusion process

Applicable Analysis ◽

10.1080/00036811.2020.1792447 ◽

2020 ◽

pp. 1-13

Author(s):

Yuzhu Han

Keyword(s):

Diffusion Equation ◽

Diffusion Process ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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Incomplete Self-Similar Blow-Up in a Semilinear Fourth-Order Reaction-Diffusion Equation

Studies in Applied Mathematics ◽

10.1111/j.1467-9590.2009.00474.x ◽

2010 ◽

Vol 124 (4) ◽

pp. 347-381 ◽

Author(s):

V. A. Galaktionov

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Blow Up ◽

Reaction Diffusion ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

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Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction–diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.004 ◽

2021 ◽

Vol 84 ◽

pp. 39-55

Author(s):

Xinfei Liu ◽

Xiaoyuan Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Fourth Order ◽

Mixed Finite Element ◽

Reaction Diffusion ◽

Mixed Finite Element Method ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

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Blow-up and global existence to a degenerate reaction–diffusion equation with nonlinear memory

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.12.007 ◽

2007 ◽

Vol 333 (2) ◽

pp. 1138-1152 ◽

Author(s):

Jun Zhou ◽

Chunlai Mu ◽

Feng Lu

Keyword(s):

Global Existence ◽

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Nonlinear Memory

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Blow up profiles for a reaction–diffusion equation with critical weighted reaction

Nonlinear Analysis ◽

10.1016/j.na.2019.111628 ◽

2020 ◽

Vol 191 ◽

pp. 111628 ◽

Author(s):

Razvan Gabriel Iagar ◽

Ariel Sánchez

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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On blow-up in higher-order reaction–diffusion and wave equations: A formal “geometric” approach

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2009.05.010 ◽

2009 ◽

Vol 238 (17) ◽

pp. 1717-1734 ◽

Author(s):

V.A. Galaktionov

Keyword(s):

Wave Equations ◽

Blow Up ◽

Reaction Diffusion ◽

Geometric Approach ◽

Higher Order ◽

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Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation

Tohoku Mathematical Journal ◽

10.2748/tmj/1223057730 ◽

2008 ◽

Vol 60 (3) ◽

pp. 303-328 ◽

Author(s):

Marek Fila ◽

Aappo Pulkkinen

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

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A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation

Numerical Algorithms ◽

10.1007/s11075-018-0509-z ◽

2018 ◽

Vol 80 (3) ◽

pp. 849-877 ◽

Author(s):

Haixiang Zhang ◽

Xuehua Yang ◽

Da Xu

Keyword(s):

Diffusion Equation ◽

Numerical Method ◽

Fourth Order ◽

Reaction Diffusion ◽

Order Reaction ◽

Reaction Diffusion Equation

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NONLINEAR STABILITY OF UNIFORM STEADY STATES AND PRESERVATION OF SIGN FOR A TWO-DIMENSIONAL FOURTH-ORDER REACTION DIFFUSION EQUATION

Waves and Stability in Continuous Media ◽

10.1142/9789812773616_0007 ◽

2006 ◽

Author(s):

M.V. BARTUCCELLI

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Nonlinear Stability ◽

Reaction Diffusion ◽

Steady States ◽

Order Reaction ◽

Reaction Diffusion Equation ◽

Two Dimensional

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