Nikolai A. Larkin

Generating author description...

All published works

Action	Title	Year	Authors
+	Regularity and decay of global solutions for the 4D Navier-STokes equations posed on smooth domains	2023	Nikolai A. Larkin M. V. Padilha
+	Global solutions for a 2D BENNEY-LIN type equation posed on rectangles and on a half-strip	2023	Nikolai A. Larkin
+ PDF Chat	Regularity and Decay of Global Solutions for the Generalized Benney-Lin Equation Posed on Bounded Intervals and on a Half-Line	2022	Nikolai A. Larkin
+	Global regular solutions for the multi-dimensional Kuramoto-Sivashinsky equation posed on smooth domains	2022	Nikolai A. Larkin
+	Existence and decay of global solutions for the Kuramoto–Sivashinsky–Zakharov–Kuznetsov equation posed on rectangles	2022	Nikolai A. Larkin
+	Existence and decay of global solutions to the three-dimensional Kuramoto–Sivashinsky–Zakharov–Kuznetsov equation	2022	Nikolai A. Larkin
+	Multi-dimensional Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on admissible multi-dimensional domains	2022	Nikolai A. Larkin
+ PDF Chat	Global Solutions for the Kuramoto-Sivashinsky Equation Posed on Unbounded 3D Grooves	2021	Nikolai A. Larkin
+	Global solutions for the Kuramoto-Sivashinsky equation posed on unbounded 3D grooves	2021	Nikolai A. Larkin
+ PDF Chat	Initial-Boundary Value Problems for Nonlinear Dispersive Equations of Higher Orders Posed on Bounded Intervals with General Boundary Conditions	2021	Nikolai A. Larkin Jackson Luchesi
+	Global solutions for the generalized Benney-Lin equation posed on bounded intervals and on a half-line	2021	Nikolai A. Larkin
+	Global solutions for the Kuramoto-Sivashinsky equation posed on unbounded 3D grooves	2021	Nikolai A. Larkin
+ PDF Chat	On connection between the order of a stationary one-dimensional dispersive equation and the growth of its convective term	2020	Nikolai A. Larkin Jackson Luchesi
+ PDF Chat	Formulation of Problems for Stationary Dispersive Equations of Higher Orders on Bounded Intervals with General Boundary Conditions	2020	Nikolai A. Larkin Jackson Luchesi
+	Regular Global Solutions for A Generalized KdV Equation Posed on A Half-Line	2020	Nikolai A. Larkin
+	Exponential Decay and Regularity of Global Solutions for the 3D Navier–Stokes Equations Posed on Lipschitz and Smooth Domains	2020	Nikolai A. Larkin M. V. Padilha
+	Decay of regular solutions for the critical 2D Zakharov–Kuznetsov equation posed on rectangles	2020	Nikolai A. Larkin
+	Critical 2D Zakharov-Kuznetsov equation posed on a half-strip	2020	Nikolai A. Larkin
+	Generalized ZK Equation posed on a Half-Strip	2020	Nikolai A. Larkin
+	Regular Global Solutions for A Generalized KdV Equation Posed on A Half-Line	2020	Nikolai A. Larkin
+	Formulation of problems for stationary dispersive equations of higher orders on bounded intervals with general boundary conditions	2019	Jackson Luchesi Nikolai A. Larkin
+	Initial-Boundary Value Problems for Generalized Dispersive Equations of Higher Orders Posed on Bounded Intervals	2019	Nikolai A. Larkin Jackson Luchesi
+	Formulation of problems for stationary dispersive equations of higher orders on bounded intervals with general boundary conditions	2019	Jackson Luchesi Nikolai A. Larkin
+ PDF Chat	Decay of Strong Solutions for 4D Navier-Stokes Equations Posed on Lipschitz Domains	2018	Nikolai A. Larkin
+	Decay of solutions for 2D Navier–Stokes equations posed on Lipschitz and smooth bounded and unbounded domains	2018	Nikolai A. Larkin M. V. Padilha
+	Generalized dispersive equations of higher orders posed on bounded intervals: local theory	2018	Jackson Luchesi Nikolai A. Larkin
+ PDF Chat	Higher-Order Stationary Dispersive Equations on Bounded Intervals	2018	Nikolai A. Larkin Jackson Luchesi
+	Higher-order stationary dispersive equations on bounded intervals: a relation between the order of an equation and the growth of its convective term	2018	Jackson Luchesi Nikolai A. Larkin
+	Generalized dispersive equations of higher orders posed on bounded intervals: local theory	2018	Jackson Luchesi Nikolai A. Larkin
+ PDF Chat	Global Regular Solutions to One Problem of Saut-Temam for the 3D Zakharov–Kuznetsov Equation	2016	Nikolai A. Larkin M. V. Padilha
+ PDF Chat	Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain	2016	Nikolai A. Larkin
+	Global regular solutions for the 3D Kawahara equation posed on unbounded domains	2016	Nikolai A. Larkin Marcio Simões
+ PDF Chat	The 2D Zakharov-Kuznetsov-Burgers equation on a strip	2015	Nikolai A. Larkin
+ PDF Chat	Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on unbounded domains	2015	Nikolai A. Larkin
+	The Kawahara equation on bounded intervals and on a half-line	2015	Nikolai A. Larkin Marcio Simões
+ PDF Chat	Stabilization of Regular Solutions for the Zakharov-Kuznetsov Equation Posed on Bounded Rectangles and on a Strip	2015	Gleb G. Doronin Nikolai A. Larkin
+	Stabilization for the linear Zakharov–Kuznetsov equation without critical size restrictions	2015	Gleb G. Doronin Nikolai A. Larkin
+ PDF Chat	Kawahara-Burgers Equation on a Strip	2015	Nikolai A. Larkin
+ PDF Chat	GLOBAL SOLUTIONS TO THE NONLINEAR HYPERBOLIC PROBLEM	2014	Nikolai A. Larkin
+	Kawahara-Burgers equation on a strip	2014	Nikolai A. Larkin
+ PDF Chat	The 2D Kawahara Equation on a Half-Strip	2014	Nikolai A. Larkin
+	The 2D Kawahara equation on half-strip	2014	Nikolai A. Larkin
+	The 2D Zakharov-Kuznetsov-Burgers equation on a strip	2014	Nikolai A. Larkin
+	Kawahara-Burgers equation on a strip	2014	Nikolai A. Larkin
+	The 2D Kawahara equation on half-strip	2014	Nikolai A. Larkin
+	Exponential decay for the linear Zakharov–Kuznetsov equation without critical domain restrictions	2013	Gleb G. Doronin Nikolai A. Larkin
+	General boundary conditions for the Kawahara equation on bounded intervals	2013	Nikolai A. Larkin Marcio Simões
+	Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions	2013	Gleb G. Doronin Nikolai A. Larkin
+	Exponential decay of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-norm for the 2D Zakharov–Kuznetsov equation on a half-strip	2013	Nikolai A. Larkin
+	Exponential decay for the linear Zakharov-Kuznetsov equation without critical domains restrictions	2013	Gleb G. Doronin Nikolai A. Larkin
+	Regular solutions of the 2D Zakharov–Kuznetsov equation on a half-strip	2012	Nikolai A. Larkin Eduardo Tronco
+	Decay of the energy for the Benjamin–Bona–Mahony equation posed on bounded intervals and on a half‐line	2012	Nikolai A. Larkin Mikhail Vishnevskii
+	Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip	2012	Gleb G. Doronin Nikolai A. Larkin
+ PDF Chat	Decay of Small Solutions for the Zakharov-Kuznetsov Equation posed on a half-strip	2011	Nikolai A. Larkin Eduardo Tronco
+	General mixed problems for the KdV equations on bounded intervals	2010	Nikolai A. Larkin Jackson Luchesi
+ PDF Chat	Odd-order quasilinear evolution equations posed on a bounded interval	2010	Nikolai A. Larkin Andrei V. Faminskii
+	INITIAL-BOUNDARY VALUE PROBLEMS FOR QUASILINEAR DISPERSIVE EQUATIONS POSED ON A BOUNDED INTERVAL	2010	Andrei V. Faminskii Nikolai A. Larkin
+ PDF Chat	Korteweg-de Vries Equation in Bounded Domains	2009	Nikolai A. Larkin
+ PDF Chat	Mathematical Problems For A Dusty Gas Flow	2009	Gleb G. Doronin Nikolai A. Larkin
+ PDF Chat	Kawahara equation in a quarter-plane and in a finite domain	2009	Gleb G. Doronin Nikolai A. Larkin
+	Dissipative initial boundary value problem for the BBM-equation	2008	Nikolai A. Larkin Mikhail Vishnevskii
+ PDF Chat	Well and ill-posed problems for the KdV and Kawahara equations	2008	Gleb G. Doronin Nikolai A. Larkin
+	Correct initial boundary value problems for dispersive equations	2008	Nikolai A. Larkin
+	Kawahara equation in a bounded domain	2008	Gleb G. Doronin Nikolai A. Larkin
+	Boundary value problems for the stationary Kawahara equation	2007	Gleb G. Doronin Nikolai A. Larkin
+ PDF Chat	Kawahara equation in a quarter-plane and in a finite domain	2007	Gleb G. Doronin Nikolai A. Larkin
+	KdV equation in domains with moving boundaries	2006	Gleb G. Doronin Nikolai A. Larkin
+	Modified KdV equation with a source term in a bounded domain	2006	Nikolai A. Larkin
+	On one compressible dusty gas model	2005	Andreas Cousin Gleb G. Doronin C.L. Frota Nikolai A. Larkin
+	Initial-boundary value problem for a compressible dusty gas model	2005	Gleb G. Doronin Nikolai A. Larkin
+	Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains	2005	C.L. Frota Nikolai A. Larkin
+	Korteweg–de Vries and Kuramoto–Sivashinsky equations in bounded domains	2004	Nikolai A. Larkin
+	Existence and stability of global regular solutions for a dusty gas model	2004	Gleb G. Doronin Nikolai A. Larkin Aparecido J. de Souza
+ PDF Chat	On dusty gas model governed by the Kuramoto-Sivashinsky equation	2004	Gleb G. Doronin Nikolai A. Larkin
+	Global Solutions for a Dusty Media Model	2003	Gleb G. Doronin Nikolai A. Larkin Aparecido J. de Souza
+	Kuramoto–sivashinsky model for a dusty medium	2002	Gleb G. Doronin Nikolai A. Larkin
+	Global solvability for the quasilinear damped wave equation with nonlinear second-order boundary conditions	2002	Gleb G. Doronin Nikolai A. Larkin
+ PDF Chat	Global regular solutions for the nonhomogeneous Carrier equation	2002	Nikolai A. Larkin
+	THE KORTEWEG{DE VRIES REGULARIZATION OF A PARABOLIC EQUATION WITH VARYING TIME DIRECTION	2002	Nikolai A. Larkin
+	Kuramoto-Sivashinsky approximation for the two-phase flow of a dusty gas	2002	Gleb G. Doronin Nikolai A. Larkin
+	Nonlinear wave equation with a nonlinear boundary damping in a noncylindrical domain	2002	Nikolai A. Larkin Marcio Simões
+	The Non-Homogeneous Wave Equation in Non-Cylindrical Domains	2001	Nikolai A. Larkin Marcio Simões
+	None	2001	А. И. Кожанов Nikolai A. Larkin
+	Hyperbolic-parabolic problem with degenerate second-order boundary conditions	2000	Gleb G. Doronin Nikolai A. Larkin Aparecido De Souza
+	A hyperbolic problem with nonlinear second-order boundary damping.	1998	Gleb G. Doronin Nikolai A. Larkin Aparecido J. de Souza
+	Regular Solutions and Energy Decay for the Equation of Viscoelasticity with Nonlinear Damping on the Boundary	1998	Alfredo T. Cousin C.L. Frota Nikolai A. Larkin
+	On one problem of transonic gas dynamics	1998	Nikolai A. Larkin
+	Uniqueness theorems for a nonlinear Tricomi problem and the related evolution problem	1995	Nikolai A. Larkin Manfred Schneider
+	A finite element method and stabilization method for a non‐linear tricomi problem	1994	Nikolai A. Larkin Matti Schneider
+	Nonlocal unilateral problem for a nonlinear hyperbolic equation of the theory of elasticity	1992	Nikolai A. Larkin L. A. Medeiros
+	ON THE SOLVABILITY OF STEADY-STATE TRANSONIC EQUATIONS IN AN UNBOUNDED DOMAIN	1991	Nikolai A. Larkin
+ PDF Chat	A Stabilization Method for the Tricomi Problem	1990	Nikolai A. Larkin Manfred Schneider
+	Initial-Boundary Value Problems for Transonic Equations in the Unbounded Domain	1989	Nikolai A. Larkin
+	The unilateral problem for the nonlocal, quasilinear, hyperbolic equation of the theory of elasticity	1984	Nikolai A. Larkin
+	Nonlinear equations of 'variable type'	1983	Nikolai A. Larkin В. А. Новиков N. N. Ianenko
+	On some classes of nonlinear hyperbolic equations	1983	Nikolai A. Larkin
+	A mixed problem for a class of equations of third order	1982	А. И. Кожанов Nikolai A. Larkin N. N. Yanenko
+	Global solvability of boundary-value problems for a class of quasilinear hyperbolic equations	1981	Nikolai A. Larkin
+	Inequalities for degenerating hyperbolic operators	1981	Nikolai A. Larkin
+	The fictitious domain method for the numerical solution of nonstationary thermal problems	1981	О. Б. Ковалев Nikolai A. Larkin В. М. Фомин N. N. Ianenko
+	The solution of nonhomogeneous thermal problems and the stefan single-phase problem in arbitrary domains	1980	O.B. Kovaljov Nikolai A. Larkin W.M. Fomin N. N. Yanenko
+	Solvability in the whole of the Cauchy problem for systems of equations describing the flow of a two-phase mixture	1980	Nikolai A. Larkin
+	One class of nonlinear equations of mixed type	1979	Nikolai A. Larkin
+	Boundary problems in the large for a class of hyperbolic equations	1978	Nikolai A. Larkin

Common Coauthors

Coauthor	Papers Together
Gleb G. Doronin	23
Jackson Luchesi	11
Marcio Simões	5
M. V. Padilha	4
C.L. Frota	3
Aparecido J. de Souza	3
Mikhail Vishnevskii	2
Manfred Schneider	2
Andrei V. Faminskii	2
Eduardo Tronco	2
А. И. Кожанов	2
N. N. Ianenko	2
N. N. Yanenko	2
О. Б. Ковалев	1
Matti Schneider	1
L. A. Medeiros	1
В. М. Фомин	1
O.B. Kovaljov	1
Aparecido De Souza	1
W.M. Fomin	1
Andreas Cousin	1
В. А. Новиков	1
Alfredo T. Cousin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Korteweg–de Vries and Kuramoto–Sivashinsky equations in bounded domains	2004	Nikolai A. Larkin	39
+	INITIAL-BOUNDARY VALUE PROBLEMS FOR QUASILINEAR DISPERSIVE EQUATIONS POSED ON A BOUNDED INTERVAL	2010	Andrei V. Faminskii Nikolai A. Larkin	30
+	On the Cauchy Problem for the Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud	28
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	25
+	Oscillatory Solitary Waves in Dispersive Media	1972	Takuji Kawahara	21
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	21
+	A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain	2003	Jerry L. Bona Shu Ming Sun Bing‐Yu Zhang	21
+	Regular solutions of the 2D Zakharov–Kuznetsov equation on a half-strip	2012	Nikolai A. Larkin Eduardo Tronco	20
+	On the Benney–Lin and Kawahara Equations	1997	H. A. Biagioni Felipe Linares	20
+	Correct initial boundary value problems for dispersive equations	2008	Nikolai A. Larkin	20
+	The initial-value problem for the Korteweg-de Vries equation	1975	Jerry L. Bona R. Jeffrey Smith	19
+	Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton	2010	Felipe Linares Ademir Pastor Jean–Claude Saut	19
+	The Boundary Value Problems of Mathematical Physics	1985	O. A. Ladyzhenskaya	18
+ PDF Chat	Local and global well-posedness for the 2D generalized Zakharov–Kuznetsov equation	2010	Felipe Linares Ademir Pastor	17
+ PDF Chat	An initial boundary-value problem for the Zakharov-Kuznetsov equation	2010	Jean–Claude Saut Roger Témam	16
+	An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain	2012	Jean‐Claude Saut Roger Témam Chuntian Wang	15
+	Well-posed initial-boundary value problems for the Zakharov-Kuznetsov equation	2008	Andrei V. Faminskii	14
+	The Cauchy problem for the 3D Zakharov-Kuznetsov equation	2009	Felipe Linares Jean‐Claude Saut	14
+	Global Existence of Solutions for the Cauchy Problem of the Kawahara Equation with L 2 Initial Data	2006	Shang Bin Cui Dong Deng Shuang Ping Tao	14
+	Kawahara equation in a bounded domain	2008	Gleb G. Doronin Nikolai A. Larkin	13
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	13
+	A survey of controllability and stabilization results for partial differential equations	2007	Lionel Rosier	13
+	Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation	1972	Alan Jeffrey Tsunehiko Kakutani	13
+	KdV equation in domains with moving boundaries	2006	Gleb G. Doronin Nikolai A. Larkin	13
+ PDF Chat	The Korteweg–de Vries–Kawahara equation in a bounded domain and some numerical results	2007	Juan Carlos Ceballos Maurício Sepúlveda Octavio Paulo Vera Villagrán	13
+ PDF Chat	An initial-boundary value problem for the Korteweg-de Vries equation posed on a finite interval	2001	Thierry Colin Jean‐Michel Ghidaglia	13
+ PDF Chat	A note on the 2D generalized Zakharov–Kuznetsov equation: Local, global, and scattering results	2012	Luiz Gustavo Farah Felipe Linares Ademir Pastor	12
+ PDF Chat	On the Korteweg-de Vries-Kuramoto-Sivashinsky equation	1996	H. A. Biagioni Jerry L. Bona Rafael José Iório M. Scialom	12
+	Exponential decay of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-norm for the 2D Zakharov–Kuznetsov equation on a half-strip	2013	Nikolai A. Larkin	12
+ PDF Chat	Higher-order nonlinear dispersive equations	1994	Carlos E. Kenig Gustavo Ponce Luis Vega	11
+	Control and stabilization of the Korteweg-de Vries equation: recent progresses	2009	Lionel Rosier Bing‐Yu Zhang	11
+	Boundary value problems for the stationary Kawahara equation	2007	Gleb G. Doronin Nikolai A. Larkin	11
+ PDF Chat	Stabilization of Regular Solutions for the Zakharov-Kuznetsov Equation Posed on Bounded Rectangles and on a Strip	2015	Gleb G. Doronin Nikolai A. Larkin	11
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	10
+	Decay properties for solutions of fifth order nonlinear dispersive equations	2014	Pedro Isaza Felipe Linares Gustavo Ponce	10
+ PDF Chat	Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane	2008	Shuyang Sun Bing‐Yu Zhang Jerry L. Bona	10
+	Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation	2012	Francis Ribaud Stéphane Vento	10
+ PDF Chat	The supercritical generalized KdV equation: Global well-posedness in the energy space and below	2011	Luiz Gustavo Farah Felipe Linares Ademir Pastor	9
+	Modified KdV equation with a source term in a bounded domain	2006	Nikolai A. Larkin	9
+	Second-order boundary estimates for solutions to singular elliptic equations in borderline cases	2011	Anedda Claudia Giovanni Porru	9
+	The Kawahara equation on bounded intervals and on a half-line	2015	Nikolai A. Larkin Marcio Simões	9
+ PDF Chat	Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain	1997	L. Rosier	9
+	Existence of blow-up solutions in the energy space for the critical generalized KdV equation	2001	Frank Merle	9
+	On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping	2007	Felipe Linares Ademir F. Pazoto	9
+ PDF Chat	Initial boundary value problem for the mKdV equation on a finite interval	2004	Anne Boutet de Monvel Dmitry Shepelsky	8
+	Initial-Boundary Value Problems for Generalized Dispersive Equations of Higher Orders Posed on Bounded Intervals	2019	Nikolai A. Larkin Jackson Luchesi	8
+ PDF Chat	Well-posedness of the initial value problem for the Korteweg-de Vries equation	1991	Carlos E. Kenig Gustavo Ponce Luis Vega	8
+	Quelques généralisations de l'équation de Korteweg-de Vries, II	1979	Jean‐Claude Saut	8
+	Energy decay for the modified Kawahara equation posed in a bounded domain	2011	F. D. Araruna Roberto de A. Capistrano–Filho Gleb G. Doronin	8
+	Composite Type Equations and Inverse Problems	1999	А. И. Кожанов	8