A description of self-similar Blow-up for dimensions $n ⩾ 3$

J. Bebernes; D. Eberly

doi:10.1016/s0294-1449(16)30352-3

JournalsaihpcVol. 5, No. 1pp. 1–21

A description of self-similar Blow-up for dimensions $n ⩾ 3$

J. Bebernes
Department of Mathematics, University of Colorado, Boulder, CO 80309 U.S.A.
D. Eberly
Department of Mathematics, University of Texas, San Antonio, TX 78285 U.S.A.

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Abstract

A precise description of the asymptotic behavior near the blowup singularity for solutions of $u_{t} - Δ u = f (u)$ which blows up in finite time $T$ is given.

Résumé

On établie une description précise de la conduite asymptotique autour de la singularité de l’explosion totale pour la solution de l’équation $u_{t} - Δ u = f (u)$ .

Cite this article

J. Bebernes, D. Eberly, A description of self-similar Blow-up for dimensions $n ⩾ 3$ . Ann. Inst. H. Poincaré Anal. Non Linéaire 5 (1988), no. 1, pp. 1–21

DOI 10.1016/S0294-1449(16)30352-3