Qualitative Results for a Class of General Materials

Qualitative Results for a Class of General Materials

Uniqueness, stability and nonexistence are discussed for the null solution to the equations governing the behavior of materials associated with nonlinear theories of continuum mechanics. The technique employed is a variant of the weighted energy argument.

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Veröffentlicht in:SIAM journal on applied mathematics 1976-05, Vol.30 (3), p.424-451
Hauptverfasser: Hills, R. N., Knops, R. J.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Concavity
Coordinate systems
Equilibrium
Estimates
Estimation methods
Exponential functions
Mathematical functions
Nonexistence
Preliminary estimates
Restrictions
Sine function
Thermodynamic equilibrium
Uniqueness
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Beschreibung
Zusammenfassung:Uniqueness, stability and nonexistence are discussed for the null solution to the equations governing the behavior of materials associated with nonlinear theories of continuum mechanics. The technique employed is a variant of the weighted energy argument.
ISSN:0036-1399
1095-712X
DOI:10.1137/0130041