Geodesic
Lavrent'ev problem for separated flows with an external perturbation
Electronic journal of differential equations, Tome 2013 (2013)
We study the Lavrent'ev mathematical model for separated flows with an external perturbation. This model consists of a differential equation with discontinuous nonlinearity and a boundary condition. Using a variational method, we show the existence of a semiregular solution. As a particular case, we study the one-dimensional model.
Classification : 35J25, 35J60, 35Q35
Keywords: lavrent'ev model, separated flows, external perturbation, discontinuous nonlinearity, semiregular solution, variational method 
@article{EJDE_2013__2013__a32,
     author = {Potapov,  Dmitriy K. and Yevstafyeva,  Victoria V.},
     title = {Lavrent'ev problem for separated flows with an external perturbation},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1290.35134},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a32/}
}
TY  - JOUR
AU  - Potapov,  Dmitriy K.
AU  - Yevstafyeva,  Victoria V.
TI  - Lavrent'ev problem for separated flows with an external perturbation
JO  - Electronic journal of differential equations
PY  - 2013
VL  - 2013
UR  - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a32/
LA  - en
ID  - EJDE_2013__2013__a32
ER  - 
%0 Journal Article
%A Potapov,  Dmitriy K.
%A Yevstafyeva,  Victoria V.
%T Lavrent'ev problem for separated flows with an external perturbation
%J Electronic journal of differential equations
%D 2013
%V 2013
%U http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a32/
%G en
%F EJDE_2013__2013__a32
Potapov,  Dmitriy K.; Yevstafyeva,  Victoria V. Lavrent'ev problem for separated flows with an external perturbation. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a32/