1. Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions

   • A. V. Aksenov
   • A. D. Polyanin

   Research Articles 24 May 2022 Pages: 567 - 594

2. Multiscale model reduction for a thermoelastic model with phase change using a generalized multiscale finite-element method

   • D. A. Ammosov
   • V. I. Vasil’ev
   • S. P. Stepanov

   Research Articles 24 May 2022 Pages: 595 - 610

   

3. Analytic properties of the Green’s function for the equation of internal gravitational waves in a stratified medium with shear flows

   • V. V. Bulatov

   Research Articles 24 May 2022 Pages: 611 - 624

4. Quasiharmonic longitudinal wave propagating in a Mindlin–Herrmann rod in a nonlinearly elastic environment

   • V. I. Erofeev
   • A. V. Leont’eva

   Research Articles 24 May 2022 Pages: 625 - 641

   

5. Stability of an aneurysm in a membrane tube filled with an ideal fluid

   • A. T. Il’ichev
   • V. A. Shargatov

   Research Articles 24 May 2022 Pages: 642 - 652

   

6. Internal solitary waves with trapped cores in multilayer shallow water

   • V. Yu. Liapidevskii
   • A. A. Chesnokov

   Research Articles 24 May 2022 Pages: 653 - 664

   

7. Influence of anisotropic rheology on wave processes in sea ice

   • A. V. Marchenko

   Research Articles 24 May 2022 Pages: 665 - 678

   

8. Rolling motion dynamics of a spherical robot with a pendulum actuator controlled by the Bilimovich servo-constraint

   • E. A. Mikishanina

   Research Articles 24 May 2022 Pages: 679 - 691

   

9. The existence proof for forced oscillations by adding dissipative forces in the example of a spherical pendulum

   • I. Yu. Polekhin

   Research Articles 24 May 2022 Pages: 692 - 700

   

10. Strip deformation problem in three models of hydrodynamics

    • V. V. Pukhnachev

    Research Articles 24 May 2022 Pages: 701 - 711

11. Study of small perturbations of a stationary state in a model of upper hybrid plasma oscillations

    • O. S. Rozanova

    Research Articles 24 May 2022 Pages: 712 - 723

12. Influence of finite-density fluctuations on the development of the Rayleigh–Taylor instability in a porous medium

    • E. B. Soboleva

    Research Articles 24 May 2022 Pages: 724 - 734

    

13. Investigation of the transition to instability of the water boiling front during injection into a geothermal reservoir

    • G. G. Tsypkin

    Research Articles 24 May 2022 Pages: 735 - 743