A nonlinear parabolic system arising in damage mechanics under chemical aggression

DOI10.1016/J.NA.2004.07.056zbMath1063.35072OpenAlexW2085318507MaRDI QIDQ1775874

Carlo Nitsch

Publication date: 4 May 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.07.056

zbMATH Keywords

blow up setsinternal microstructural parameter

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fracture and damage (74R99) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Chemical structure in solid mechanics (74E40)

Related Items (1)

Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint

Cites Work

• Continuity of weak solutions to certain singular parabolic equations
• Statistical Damage Mechanics— Part I: Theory
• Hölder Continuity of Solutions of Parabolic Equations
• A mathematical model of damage accumulation taking into account microstructural effects
• A numerical study of a nonlocal model of damage propagation under chemical aggression
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