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 ...

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 extend our recent work on two-dimensional diffusive search-and-capture processes with multiple small targets (narrow capture problems) by considering an asymptotic expansion of the ...

We study discounted Hamilton-Jacobi equations on networks, without putting any restriction on their geometry. Assuming the Hamiltonians are continuous and coercive, we establish a comparison principle ...