论文信息 - Energetic variational approaches for incompressible fluid systems on an evolving surface - 字舞流文

Energetic variational approaches for incompressible fluid systems on an evolving surface

Yoshikazu Giga | Y. Giga | Chun Liu | Hajime Koba | Chun Liu | Hajime Koba

[1] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .

[2] Michael E. Taylor,et al. Partial Differential Equations III , 1996 .

[3] V. Arnold. Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits , 1966 .

[4] Charles M. Elliott,et al. Finite elements on evolving surfaces , 2007 .

[5] Marc Arnaudon,et al. Lagrangian Navier–Stokes diffusions on manifolds: Variational principle and stability , 2010 .

[6] J. Marsden,et al. Groups of diffeomorphisms and the motion of an incompressible fluid , 1970 .

[7] Michael E. Taylor,et al. Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations , 1992 .

[8] Leon Simon,et al. Lectures on Geometric Measure Theory , 1984 .

[9] Dieter Bothe,et al. On the Two-Phase Navier–Stokes Equations with Boussinesq–Scriven Surface Fluid , 2010 .

[10] Y. Gliklikh. Global Analysis in Mathematical Physics , 1997 .

[11] D. Gilbarg,et al. Elliptic Partial Differential Equa-tions of Second Order , 1977 .