WEAK AND STRONG SOLUTIONS OF ISOTROPIC VISCOELASTIC EQUATIONS WITH LONG NONLINEAR MEMORY

J-S. Hwang; S. Nakagiri

doi:10.32219/isms.64.1_45

著者情報

キーワード: Viscoelastic equation with long memory, Volterra integro-differential equations, Nonlinear kernel, Weak solution, Strong solution

ジャーナルフリー

2006 年 64 巻 1 号 p. 45-60

DOI https://doi.org/10.32219/isms.64.1_45

詳細

抄録

The equations of isotropic viscoelastic materials with long nonlinear memory are studied. The model equations are described by second order Volterra integrodifferential equation having nonlinear kernels. Based on the variational methods, we have proved the fundamental results on existence, uniqueness and regularity of weak and strong solutions for the equations

責任著者(Corresponding author)

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