Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions

Blow-up of positive solutions of semilinear heat equations

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

Natural Sciences, Physics, Differential Equations +13

REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS

J. M. Ball · The Quarterly Journal of Mathematics · 1977 · 532 citations

Natural Sciences, Mathematics, Differential Equations +12

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

Convergence, asymptotic periodicity, and finite-point blow-up in one-dimensional semilinear heat equations

Xu-Yan Chen, Hiroshi Matano · Journal of Differential Equations · 1989 · 199 citations

Natural Sciences, Physics, Fluid Dynamics +15

Moving Mesh Methods for Problems with Blow-Up

Chris Budd, Weizhang Huang, Robert D. Russell · SIAM Journal on Scientific Computing · 1996 · 188 citations · Full text

Natural Sciences, Mathematics, Physics +10