Asymptotic analysis provides a set of powerful techniques for approximating solutions to differential equations, particularly in cases where exact solutions are elusive. This approach is critical when ...

An asymptotic expansion in powers of small dimensionless dispersion coefficient is sought to solve an initial value problem posed for an advection diffusion equation modeling orientation of pulp ...

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 ...

In this paper we are interested in the asymptotic behavior of an incompressible fluid around a bounded obstacle. The problem is described by the stationary Navier-Stokes equations in an exterior ...

Most mathematical models do not admit exact solutions. Asymptotic and perturbation methods provide powerful techniques for obtaining approximate solutions, which allow one to draw physical conclusions ...