Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term

Traveling Waves in a Convolution Model for Phase Transitions

Peter W. Bates, Paul C. Fife, Xiaofeng Ren et al. · Archive for Rational Mechanics and Analysis · 1997 · 559 citations

Natural Sciences, Physics, Computational Physics +10

Blow-up of positive solutions of semilinear heat equations

Avner Friedman · Indiana University Mathematics Journal · 1985 · 545 citations

Natural Sciences, Physics, Differential Equations +13

Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations

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Natural Sciences, Mathematics, Differential Equations +16

The problem Of blow-up in nonlinear parabolic equations

Victor A. Galaktionov · Discrete and Continuous Dynamical Systems · 2002 · 392 citations

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Blowup in diffusion equations: A survey

Catherine Bandle, Hermann Brunner · Journal of Computational and Applied Mathematics · 1998 · 263 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +10