34 citations · 198 across the 24 of their papers we have counts for
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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.NA2020★ 12 cited
Numerical Computation of Solitary Wave Solutions of the Rosenau Equation
H. A. Erbay, S. Erbay, A. Erkip
We construct numerically solitary wave solutions of the Rosenau equation using the Petviashvili iteration method. We first summarize the theoretical results available in the litera…