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  - 
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  -