TY  - JOUR
A1  - Mera, Azal
A1  - Stepanenko, Vitaly A.
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Successive approximation for the inhomogeneous burgers equation
JF  - Journal of Siberian Federal University : Mathematics & Physics
N2  - The inhomogeneous Burgers equation is a simple form of the Navier-Stokes equations. From the analytical point of view, the inhomogeneous form is poorly studied, the complete analytical solution depending closely on the form of the nonhomogeneous term.
KW  - Navier-Stokes equations
KW  - classical solution
Y1  - 2018
U6  - https://doi.org/10.17516/1997-1397-2018-11-4-519-531
SN  - 1997-1397
SN  - 2313-6022
VL  - 11
IS  - 4
SP  - 519
EP  - 531
PB  - Siberian Federal University
CY  - Krasnoyarsk
ER  - 
TY  - INPR
A1  - Mera, Azal
A1  - Shlapunov, Alexander
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Navier-Stokes equations for elliptic complexes
N2  - We continue our study of invariant forms of the classical equations of mathematical physics,
such as the Maxwell equations or the Lamé system, on manifold with boundary. To this end we interpret them in terms of the de Rham complex at a certain step. On using the structure of the complex we get an insight to predict a degeneracy deeply encoded
in the equations. In the present paper we develop an invariant approach to the classical Navier-Stokes equations.
T3  - Preprints des Instituts für Mathematik der Universität Potsdam - 4 (2015)12 
KW  - Navier-Stokes equations
KW  - classical solution
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-85592
SN  - 2193-6943
VL  - 4
IS  - 12
PB  - Universitätsverlag Potsdam
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Mera, Azal
A1  - Shlapunov, Alexander A.
A1  - Tarkhanov, Nikolai Nikolaevich
T1  - Navier-Stokes Equations for Elliptic Complexes
JF  - Journal of Siberian Federal University. Mathematics & Physics
N2  - We continue our study of invariant forms of the classical equations of mathematical physics, such as the Maxwell equations or the Lam´e system, on manifold with boundary. To this end we interpret them in terms of the de Rham complex at a certain step. On using the structure of the complex we get an insight to predict a degeneracy deeply encoded in the equations. In the present paper we develop an invariant approach to the classical Navier-Stokes equations.
KW  - Navier-Stokes equations
KW  - classical solution
Y1  - 2019
U6  - https://doi.org/10.17516/1997-1397-2019-12-1-3-27
SN  - 1997-1397
SN  - 2313-6022
VL  - 12
IS  - 1
SP  - 3
EP  - 27
PB  - Sibirskij Federalʹnyj Universitet
CY  - Krasnojarsk
ER  -