activity
20122023
most citedTo one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation

11 citations · 37 across the 19 of their papers we have counts for

collaborators

19 papers

math.AP2023

Global solutions for a 2D BENNEY-LIN type equation posed on rectangles and on a half-strip

Nikolai Larkin

We formulate on rectangles and on the right horizontal half-strip initial-boundary value problems for a two-dimensional Benney-Lin type equation. Existence and uniqueness of a regu…

math.AP2023

Regularity and decay of global solutions for the 4D Navier-STokes equations posed on smooth domains

Nikolai Larkin, Marcos Padilha

We consider an initial-boundary value problem for the 4D Navier-Stokes equations posed on bounded smooth domains. We prove the existence and uniqiueness of regular solutions as wel…

math.AP2022★ 1 cited

Multi-dimensional Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on admissible multi-dimensional domains

Nikolai Larkin

An initial-boundary value problem for the n-dimensional ( is a natural number from the interval [2,7]) Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on smooth bounded d…

math.AP2022

Global Regular Solutions for the Multi-dimensional Kuramoto-Sivashinsky Equation posed on Smooth Domains

N. A. Larkin

Initial-boundary value problems for the -dimensional ( is a natural number from the interval [2,7]) Kuramoto-Sivashinsky equation posed on smooth bounded domains in $\mathbb{…

math.AP2021

Global solutions for the generalized Benney-Lin equation posed on bounded intervals and on a half-line

Nikolai Larkin

Initial boundary value problems for the generalized Benney-Lin equation posed on bounded intervals and on the right half-line were considered. The existence and uniqueness of globa…

math.AP2021

Global solutions for the Kuramoto-Sivashinsky equation posed on unbounded 3D grooves

Nikolai Larkin

Initial boundary value problems for the three dimensional Kuramoto-Sivashinsky equation posed on unbounded 3D grooves were considered. The existence and uniqueness of global strong…