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- W2105672693 abstract "We consider a class of quasi-linear evolution equations with non-linear damping and source terms arising from the models of non-linear viscoelasticity. By a Galerkin approximation scheme combined with the potential well method we prove that when m<p, where m(⩾0) and p are, respectively, the growth orders of the non-linear strain terms and the source term, under appropriate conditions, the initial boundary value problem of the above-mentioned equations admits global weak solutions and the solutions decay to zero as t→∞. Copyright © 2002 John Wiley & Sons, Ltd." @default.
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- W2105672693 date "2002-01-01" @default.
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- W2105672693 title "Existence and asymptotic behaviour of solutions for a class of quasi-linear evolution equations with non-linear damping and source terms" @default.
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- W2105672693 doi "https://doi.org/10.1002/mma.306" @default.
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