On an inverse problem arising in the theory of propagation of nonlinear waves

In this paper, we consider a one-dimensional inverse source problem for the Hopf equation. We show that it is uniquely solvable in the class of finite smoothness.

Modeling of seismic wave propagation during an earthquake in complex heterogeneous media

The direct dynamic problem of elasticity theory is solved numerically taking into account the energy dissipation caused by viscous (internal) friction, which models the formation and propagation of seismic waves from earthquakes. The problem is written in the form of dynamic equations of elasticity…

On the possible relationship between remote seismic activations and strong earthquakes in southeast regions of Eurasia and adjacent seismic focal zones

Using the example of the 14 largest earthquakes (MS ≥ 7.9) in area: −30–50°N, 78–180°E, the possible geodynamic interconnectedness of the processes of focus preparation with a preliminary moderate seismic activation in the subduction or collision zones crossing the areas of a future earthquake…

Layered flows of high-temperature suspensions

The paper numerically studies the flow of a high-temperature twophase mixture in a gravity field. Thermodynamically consistent equations of twospeed hydrodynamics of a suspension with a foreign impurity are developed within the framework of the conservation law method. The numerical non-stationary…

On one inverse source problem for a poroelasticity system

The inverse problem of determining a distributed source from a porodynamic system described by three elastic parameters in a reversible hydrodynamic approximation is considered. A theorem on solvability in the class of twice continuously differentiable in time and having Fourier transforms in the…