asymptotic methods, asymptotics of solutions of initial value problems for partial differential equations
Main publications:
S.V. Zakharov, “Asymptotic solution of a Cauchy problem in a neighbourhood
of a gradient catastrophe”, Sb. Math., 197:6 (2006), 835–851
S.V. Zakharov, “Constructing the asymptotics of a solution of the heat equation from the known asymptotics of the initial function in three-dimensional space”, Sb. Math., 215:1 (2024), 101–118