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20182023
most citedRegular Global Solutions for A Generalized KdV Equation Posed on A Half-Line

2 citations · 4 across the 7 of their papers we have counts for

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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…