10,114 research outputs found
Topological Excitation in Skyrme Theory
Based on the -mapping topological current theory and the decomposition
of gauge potential theory, we investigate knotted vortex lines and monopoles in
Skyrme theory and simply discuss the branch processes (splitting, merging and
intersection) during the evolution of the monopoles.Comment: 10 pages, 0 figure
Structural stability of Supersonic solutions to the Euler-Poisson system
The well-posedness for the supersonic solutions of the Euler-Poisson system
for hydrodynamical model in semiconductor devices and plasmas is studied in
this paper. We first reformulate the Euler-Poisson system in the supersonic
region into a second order hyperbolic-elliptic coupled system together with
several transport equations. One of the key ingredients of the analysis is to
obtain the well-posedness of the boundary value problem for the associated
linearized hyperbolic-elliptic coupled system, which is achieved via a delicate
choice of multiplier to gain energy estimate. The nonlinear structural
stability of supersonic solution in the general situation is established by
combining the iteration method with the estimate for hyperbolic-elliptic system
and the transport equations together.Comment: The paper was revised substantially in this new version. In
particular, we constructed the new multiplier under general conditions on the
background solution
- …