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math.AP2020★ 13 cited
Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity
Husnu A. Erbay, Albert Erkip, Yasemin Sengul
In this work we prove local existence of strong solutions to the initial-value problem arising in one-dimensional strain-limiting viscoelasticity, which is based on a nonlinear con…
math.AP2020★ 15 cited
A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity
Husnu A. Erbay, Yasemin Sengul
We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticit…
math.AP2018
Long-time existence of solutions to nonlocal nonlinear bidirectional wave equations
H. A. Erbay, S. Erbay, A. Erkip
We consider the Cauchy problem defined for a general class of nonlocal wave equations modeling bidirectional wave propagation in a nonlocally and nonlinearly elastic medium whose c…