Two types of solitary elastic waves are considered: a longitudinal plane displacement wave
(longitudinal displacements along the abscissa axis of a Cartesian coordinate system) and a …

A new generalization of the method of constraints for displacement gradient occurring when
studying a torsional displacement wave propagating in a nonlinear elastic material is …

The evolution of a nonlinear elastic cylindrical displacement wave is analyzed theoretically
and numerically using the five-constant Murnaghan model for a noncharacteristic initial …

A nonlinear elastic cylindrical radial displacement wave is analyzed theoretically and
numerically for an arbitrary solitary wave profile and initial wave profiles in the form of …

The distortion of a nonlinear elastic plane displacement wave of Friedlander profile typical
for blast waves is analyzed theoretically and numerically using the five-constant Murnaghan …

In this paper we investigate the implementation of the so-called freezing method for second
order wave equations in one and several space dimensions. The method converts the given …

In this thesis we consider orbital stability of certain patterns in stochastic partial differential
equations. We study two examples: a rotating wave in a two-dimensional reaction-diffusion …

Two types of solitary elastic waves are considered: the plane longitudinal wave of
displacement (wave of longitudinal displacement in direction of abscissa axis in Cartesian …

НАЦІОНАЛЬНА АКАДЕМІЯ НАУК УКРАЇНИ Інститут механіки ім. СПТимошенка Page 1
НАЦІОНАЛЬНА АКАДЕМІЯ НАУК УКРАЇНИ Інститут механіки ім. СПТимошенка …