Structure of boundary blow-up for higher-order quasilinear parabolic equations

Structure of boundary blow-up for higher-order quasilinear parabolic equations

Singularity formation phenomena for 2mth-order quasilinear parabolic equations are studied by using energy estimates related to Saint-Venant's principle. Sharp estimates of propagation of singularities generated by boundary global and regional blow-up regimes are established.

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2004-11, Vol.460 (2051), p.3299-3325
Hauptverfasser: Galaktionov, V. A., Shishkov, A. E.
Format: Artikel
Sprache:eng
Schlagworte:
2mth-order quasilinear parabolic equations
Applied mathematics
Asymptotic Behaviour
Boundary Global And Regional Blow-Up
Dynamical systems
Energy
Energy Estimates
Hamilton Jacobi equation
Heat equation
Mathematical functions
Mathematical theorems
Ordinary differential equations
Preliminary estimates
Saint-Venant's Principle
Th-Order Quasilinear Parabolic Equations
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Beschreibung
Zusammenfassung:Singularity formation phenomena for 2mth-order quasilinear parabolic equations are studied by using energy estimates related to Saint-Venant's principle. Sharp estimates of propagation of singularities generated by boundary global and regional blow-up regimes are established.
ISSN:1364-5021
1471-2946
DOI:10.1098/rspa.2004.1297