21 citations · 61 across the 4 of their papers we have counts for
5 papers
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…
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…
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…
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…
Derivation of the Camassa-Holm equations for elastic waves
H. A. Erbay, S. Erbay, A. Erkip
In this paper we provide a formal derivation of both the Camassa-Holm equation and the fractional Camassa-Holm equation for the propagation of small-but-finite amplitude long waves…