Z. Nytrebych, V. Ilkiv,O. Malanchuk, W. Auzinger:

"Investigation of mathematical model of acoustic wave propagation through relax environment in ultrasound diagnostics problems";

Talk: 2nd International Workshop on Informatics and Data-Driven Medicine, IDDM 2019, Lviv; 2019-11-11 - 2019-11-13; in: "CEUR Workshop Proceedings", CEUR-WS, 2488 (2019), ISSN: 1613-0073; 280 - 289.

A mathematical model of the process of an acoustic wave propagation

in a relax environment has been investigated.

This mathematical model is widely used to describe and determine

the basic parameters of the wave process in the problems of ultrasound diagnostics.

The model is formulated in the form of the Cauchy problem

for hyperbolic equation of third order with the initial data,

which are analytical functions.

The class of entire functions, which is the class of existence and uniqueness of the Cauchy problem solution for the partial differential equation, which describes this wave, is established.

In the selected class of functions, the Cauchy problem solution is constructed using the differential-symbol method.

Examples of solving problems with specific initial data are given. The obtained results and the indicated methodology allow us

to determine the basic parameters of the process of acoustic wave propagation in the problems of ultrasound diagnostics.

differential-symbol method, initial problem, mathematical model, ultrasound diagnostics, wave process

Created from the Publication Database of the Vienna University of Technology.