11 citations · 37 across the 19 of their papers we have counts for
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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…
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…
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…
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{…
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…
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…
Generalized ZK Equation posed on a Half-Strip
Nikolai Larkin
An initial-boundary value problem for the generalized 2D Zakharov-Kuznetsov equation posed on the right half-strip is considered. Existence, uniqueness and the exponential decay ra…
Critical 2D Zakharov-Kuznetsov equation posed on a half-strip
Nikolai Larkin
An initial-boundary value problem for the critical generalized 2D Zakharov-Kuznetsov equation posed on a half-strip is considered. Existence, uniqueness and the exponential decay r…
Regular Global Solutions for A Generalized KdV Equation Posed on A Half-Line
Nikolai Larkin
An initial-boundary value problem for a generalized KdV equation posed on a half-line is considered. Existence and uniqueness of global regular solutions for arbitrary smooth initi…
Formulation of problems for stationary dispersive equations of higher orders on bounded intervals with general boundary conditions
Jackson Luchesi, Nikolai A. Larkin
Boundary value problems for linear stationary dispersive equations of order , have been considered on finite intervals . The existence and uniqueness…
Generalized dispersive equations of higher orders posed on bounded intervals: local theory
Jackson Luchesi, Nikolai A. Larkin
Initial-boundary value problems for nonlinear dispersive equations of evolution of order with a convective term of the form have b…
Higher-order stationary dispersive equations on bounded intervals: a relation between the order of an equation and the growth of its convective term
Jackson Luchesi, Nikolai A. Larkin
A boundary value problem for a stationary nonlinear dispersive equation of order with a convective term in the form was cons…
To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation
Nikolai Larkin, Marcos Padilha
An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on an unbounded domain is considered. Existence and uniqueness of a global regular solution as well a…
Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain
Nikolai Larkin
An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on bounded domains is considered. Existence and uniqueness of a global regular solution as well as ex…
Kawahara-Burgers equation on a strip
Nikolai Larkin
An initial-boundary value problem for the 2D Kawahara-Burgers equation posed on a channel-type strip was considered. The existence and uniqueness results for regular and weak solut…
The 2D Zakharov-Kuznetsov-Burgers equation on a strip
Nikolai Larkin
An initial-boundary value problem for the 2D Zakharov-Kuznetsov-Burgers equation posed on a channel-type strip was considered. The existence and uniqueness results for regular and…
The 2D Kawahara equation on half-strip
Nikolai Larkin
We formulate on a half-strip an initial boundary value problem for the two-dmensional Kawahara equation. Existence and uniqueness of a regular solution as well as the exponential d…
Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions
Gleb G. Doronin, Nikolai A. Larkin
Initial-boundary value problems for the linear Zakharov-Kuznetsov equation posed on bounded rectangles are considered. Spectral properties of a stationary operator are studied in o…
Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip
G. G. Doronin, N. A. Larkin
Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and c…