The field of asymptotic analysis serves as a cornerstone in understanding the behaviour of wave equations and their applications in hydrodynamics. This area of research focuses on developing ...

Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

The first theoretical models of the propagation of an electromagnetic field in a waveguide date back to the second half of the 19th century (Hertz, Debye, Rayleigh). The technological fallout for long ...

Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...

In this lesson, we introduce the one dimensional wave equation and explore how it appears in electrodynamics. This video explains the basic concepts, physical meaning, and mathematical form of the ...

Beijing Zhongke Journal Publising Co. Ltd. The study of large-time behavior of solutions to partial differential equations is a fundamental pursuit in mathematical analysis, with profound implications ...