Results: **4**

#### On diagnostic relationships between **acoustic** and entropy modes

The relations connecting the disturbances for the **acoustic** and entropy (stationary) modes are analytically established, and the diagnostic equations to be solved are obtained. These equations define the **acoustic** and entropy modes in an arbitrary stratified gas under the condition of stability. The ...

#### Numerical simulation of wave processes in elastic-acoustic problems using discontinuous Galerkin method on triangle unstructured meshes

... Galerkin methods: algorithms, analysis, and applications. Texts in Applied Mathematics. Springer, 2008. Vol. 54.
5. Wilcox L. C., Stadler G., Burstedde C. et al. A high-order discontinuous Galerkin method for wave propagation through coupled elastic–**acoustic** media // J. of Comp. Phys. 2010. № 229. P. 9373—9396.
6. LeVeque R. L. Finite volume methods for hyperbolic problems. Cambridge, 2002.
7. Голубев В. И., Петров И. Б., Хохлов Н. И. Численное моделирование ...

#### Numerical solution of elastic-acoustic problems with the help of grid-characteristic method

... problems are simulated with the help of grid-characteristic method, in particular, for the offshore seismic prospecting. We consider systems of water-soil-hydrocarbon-bearing layer and ice-water-soil-hydrocarbon-bearing layer
1. Etter P. C. Underwater **acoustic** modelling and simulation. L., 2003.
2. Куликовский А. Г., Погорелов Н. В., Семенов А. Ю. Математические вопросы численного решения гиперболических систем ...

#### On asymptotic expression for velocity field of atmosphere gas perturbed by 1D **acoustic** wave

The problem of 1D **acoustic** wave initiation by a rise of water masses is formulated as a boundary problem at half space . The atmosphere is modeled as a multi-layer gas with an exponential structure of density in each layer. The boundary conditions at determine the direction ...