2019
Том 71
№ 2

All Issues

Botsenyuk А. N.

Articles: 2
Article (Ukrainian)

Global small solutions of the cauchy problem for a semilinear system of equations of thermoelasticity

Botsenyuk А. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2000. - 52, № 4. - pp. 435-446

For a semilinear system of equations of thermoelasticity, we establish a theorem on the existence and uniqueness of global solutions in a multidimensional space under the condition that the initial data are sufficiently small. We also obtain estimates for the decrease of solutions as time increases.

Article (Ukrainian)

Global solutions of a two-dimensional initial boundary-value problem for a system of semilinear magnetoelasticity equations

Botsenyuk А. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1996. - 48, № 2. - pp. 161-167

We prove the theorem on the existence and uniqueness of global solutions of a system of semilinear magnetoelasticity equations in a two-dimensional space.