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- W2014568980 abstract "We prove the convergence of the radially symmetric solutions to the Cauchy problem for the viscoelasticity equationsφtt-Δφ-div(13|∇φ|2∇φ)=ɛΔφt,as ɛ→0, with radially symmetric initial data φɛ(x,0)=φ0ɛ(r), φtɛ(x,0)=φ1ɛ(r), r=(x12+x22)1/2, where φ0rɛ⇀φ0r, φ1ɛ⇀φ1, to a weak solution of the Cauchy problem for the corresponding limit equation with ɛ=0, and initial data φ(x,0)=φ0(r), φt(x,0)=φ1(r). Our analysis is based on energy estimates and the method of compensated compactness closely following Serre and Shearer (Convergence with physical viscosity for nonlinear elasticity, 1993, unpublished)." @default.
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- W2014568980 date "2005-12-01" @default.
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- W2014568980 title "Radially symmetric weak solutions for a quasilinear wave equation in two space dimensions" @default.
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- W2014568980 doi "https://doi.org/10.1016/j.jde.2005.02.004" @default.
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