@article{AIHPC_2007__24_5_677_0, author = {G\'erard-Varet, David and Rousset, Fr\'ed\'eric}, title = {Shear layer solutions of incompressible {MHD} and dynamo effect}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {677--710}, publisher = {Elsevier}, volume = {24}, number = {5}, year = {2007}, doi = {10.1016/j.anihpc.2006.04.005}, mrnumber = {2348048}, zbl = {1128.76066}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.005/} }
TY - JOUR AU - Gérard-Varet, David AU - Rousset, Frédéric TI - Shear layer solutions of incompressible MHD and dynamo effect JO - Annales de l'I.H.P. Analyse non linéaire PY - 2007 SP - 677 EP - 710 VL - 24 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.005/ DO - 10.1016/j.anihpc.2006.04.005 LA - en ID - AIHPC_2007__24_5_677_0 ER -
%0 Journal Article %A Gérard-Varet, David %A Rousset, Frédéric %T Shear layer solutions of incompressible MHD and dynamo effect %J Annales de l'I.H.P. Analyse non linéaire %D 2007 %P 677-710 %V 24 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.005/ %R 10.1016/j.anihpc.2006.04.005 %G en %F AIHPC_2007__24_5_677_0
Gérard-Varet, David; Rousset, Frédéric. Shear layer solutions of incompressible MHD and dynamo effect. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 5, pp. 677-710. doi : 10.1016/j.anihpc.2006.04.005. http://www.numdam.org/articles/10.1016/j.anihpc.2006.04.005/
[1] The Couette-Taylor Problem, Applied Mathematical Sciences, vol. 102, Springer-Verlag, New York, 1994. | Zbl
, ,[2] Linear instability implies nonlinear instability for various types of viscous boundary layers, Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (1) (2003) 87-106. | Numdam | MR | Zbl
, ,[3] Hydromagnetic flows in planetary cores, Rep. Prog. Phys. 61 (1998) 175-235.
,[4] Riga dynamo experiment and its theoretical background, Phys. Plasmas 11 (5) (2004) 2838-2843. | MR
, , , , ,[5] Oscillating solutions of incompressible MHD and dynamo effect, SIAM J. Math. Anal. 37 (3) (2005) 815-840. | MR
,[6] Fast dynamo action in the Ponomarenko dynamo, Geophys. Astrophys. Fluid Dynamics 44 (1988) 241-258. | Zbl
,[7] Dynamo theory, in: Handbook of Mathematical Fluid Dynamics, vol. II, North-Holland, Amsterdam, 2003, pp. 355-441. | MR | Zbl
,[8] Viscous limits for piecewise smooth solutions to systems of conservation laws, Arch. Rational Mech. Anal. 121 (3) (1992) 235-265. | MR | Zbl
, ,[9] On the nonlinear instability of Euler and Prandtl equations, Comm. Pure Appl. Math. 53 (9) (2000) 1067-1091. | MR | Zbl
,[10] Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, vol. 840, Springer-Verlag, Berlin, 1981. | MR | Zbl
,[11] On the theory of hydromagnetic dynamos, Zh. Prikl. Mekh. Tekh. Fiz. (USSR) 44 (1973) 47-51.
,[12] An Introduction to Magnetohydrodynamics, Longmans, Green, 1967.
,Cité par Sources :