In this paper we study two multidimensional nonlinear dispersive systems: the Serre-Green-Naghdi (SGN) equations describing shallow water flows, and Iordanskii-Kogarko-Wijngaarden (IKW) fluids containing small compressible gas bubbles. These models are Euler-Lagrange for a given Lagrangian share common mathematical structure, namely dependence of pressure on material derivatives macroscopic var...

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The separated electromagnetic responses RL(q, ω) and RT (q, ω) for inclusive electron scattering off nuclei are studied within a functional scheme.

A new code is presented here, named Gyrokinetic SEmi-LAgragian (GYSELA) code, which solves 4D drift-kinetic equations for ion temperature gradient driven turbulence in a cylinder (r,h,z). The code validation is performed with the slab ITG mode that only depends on the parallel velocity. This code uses a semi-Lagrangian numerical scheme, which exhibits good properties of energy conservation in n...

We suppose that there are both particles with negative energies described by LW and particles with positive energies described by LF , L = LF + LW , LF is equivalent to Lagragian density of the conventional QED, LW and LF are symmetric, independent of each other before quantization and dependent on each other after quantization. From this we define transfomation operators and quantize free fiel...