Local and global solutions of Chern-Simons gauged O(3) sigma equations in one space dimension

2016 ◽  
Vol 57 (8) ◽  
pp. 081511 ◽  
Author(s):  
Hyungjin Huh ◽  
Guanghui Jin
Keyword(s):  
Space Dimension ◽  
Global Solutions ◽  
Local And Global Solutions ◽  
Chern Simons ◽  
One Space Dimension

Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems

2002 ◽  
Vol 132 (2) ◽  
pp. 341-358 ◽  
Author(s):  
Corrado Lattanzio ◽  
Roberto Natalini
Keyword(s):  
Space Dimension ◽  
Global Solutions ◽  
Parabolic Systems ◽  
Compensated Compactness ◽  
Rigorous Result ◽  
Formal Limit ◽  
One Space Dimension

We study a class of BGK approximations of parabolic systems in one space dimension. We prove stability and existence of global solutions for this model. Moreover, under certain conditions, we prove a rigorous result of convergence toward the formal limit, by using compensated compactness techniques.

scholarly journals Reduction of Chern-Simons-Schrödinger Systems in One Space Dimension

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Hyungjin Huh
Keyword(s):  
Space Dimension ◽  
Gauge Condition ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Schrödinger Systems ◽  
Chern Simons ◽  
One Space Dimension

We study Chern-Simons-Schrödinger systems in one space dimension. We show that Chern-Simons-Schrödinger and𝒩=2supersymmetric Chern-Simons-Schrödinger equations can be reduced, under the gauge conditionA1≡0, to equations ofϕ,ψonly which are coupled cubic Schrödinger systems.

Sign in / Sign up

Export Citation Format

Share Document