Geodesic
Conservation laws, differential identities, and constraints of partial differential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 2, pp. 227-251

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider specific cohomological properties such as low-dimensional conservation laws and differential identities of systems of partial differential equations (PDEs). We show that such properties are inherent to complex systems such as evolution systems with constraints. The mathematical tools used here are the algebraic analysis of PDEs and cohomologies over differential algebras and modules.
Keywords: differential algebra, conservation law, differential identity, differential constraint. 
@article{TMF_2015_185_2_a0,
     author = {V. V. Zharinov},
     title = {Conservation laws, differential identities, and constraints of partial differential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {227--251},
     publisher = {mathdoc},
     volume = {185},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_2_a0/}
}
TY  - JOUR
AU  - V. V. Zharinov
TI  - Conservation laws, differential identities, and constraints of partial differential equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 227
EP  - 251
VL  - 185
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_185_2_a0/
LA  - ru
ID  - TMF_2015_185_2_a0
ER  - 
%0 Journal Article
%A V. V. Zharinov
%T Conservation laws, differential identities, and constraints of partial differential equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 227-251
%V 185
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2015_185_2_a0/
%G ru
%F TMF_2015_185_2_a0
V. V. Zharinov. Conservation laws, differential identities, and constraints of partial differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 2, pp. 227-251. http://geodesic.mathdoc.fr/item/TMF_2015_185_2_a0/