In this Letter, a (2 + 1)-dimensional soliton equation is studied by He’s variational approach. The solitary solutions are obtained using the Ritz method.

The relationship between the densities of ground-state wave functions (i.e., the minimizers of the Rayleigh-Ritz variation principle) and the ground-state densities in density-functional theory (i.e., the minimizers of the Hohenberg-Kohn variation principle) is studied within the framework of convex conjugation, in a generic setting covering molecular systems, solid-state systems, and more. Hav...

We consider the stability and convergence analysis of pressure stabilized finite element approximations of the transient Stokes’ equation. The analysis is valid for a class of symmetric pressure stabilization operators, but also for standard, inf-sup stable, velocity/pressure spaces without stabilization. Provided the initial data is chosen as a specific (method dependent) Ritz-projection, we g...

1. David D, Bani L, Moreau J-L, Demaison C, Sun K, Salvucci O, Nakarai T, de Montalembert M, Chouaib S, Joussemet M, Ritz J, Thèze J: Further analysis of interleukin-2 receptor subunit expression on the different human peripheral blood mononuclear cell subsets. Blood 91:165, 1998 2. Bani L, David D, Moreau J-L, Cayota A, Nakarai T, Ritz J, Thèze J: Expression of the IL-2 receptor g subunit in r...