New solutions to wave equations with variable coefficients describing traveling SH waves in a porous medium, taking energy dissipation into account, are obtained. These solutions are obtained using transformation methods, where equations with variable coefficients can be reduced to equations with…
This paper examines the use of neural networks to solve an inverse coefficient problem for a system of poroelastic equations. The problem consists of finding the desired functions of the system along with an unknown coefficient of the equation under an additional boundary condition. In this paper…
According to the data of the global and regional earthquake catalogs, the dynamics of the environment on the eve of strong (MS ≥ 6.2 for regions) and catastrophic (MS ≥ 8 for the whole world) earthquakes has been studied using the KCOR anomaly detection algorithm (the coefficient of paired…
A one-dimensional inverse problem for a quasilinear hyperbolic system with an unknown excitation source is considered. The Cauchy problem for a nonlinear Hopf-type system is studied. The Fourier transform is used to reduce the inverse problem to a direct problem, and the existence and uniqueness…
This paper numerically studies the flow of magmatic melts in a horizontal channel under gravity. A difference approximation of the two-velocity hydrodynamic equations is performed using the control volume method. Non-uniform flows with different model parameter values and their influence on the flow…