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math.AP2014★ 1 cited
Global solution to nonlinear Dirac equation for Gross-Neveu model in dimensions
Yongqian Zhang, Qin Zhao
This paper studies a class of nonlinear Dirac equations with cubic terms in , which include the equations for the massive Thirring model and the massive Gross-Neveu model.…
math.AP2012★ 20 cited
Global strong solution to a nonlinear Dirac type equation in one dimension
Yongqian Zhang
This paper studies a class of nonlinear massless Dirac equations in one dimension, which include the equations for massless Thirring model and massless Gross-Neveu model. Under the…
math.AP2012
Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws
Gui-Qiang Chen, Wei Xiang, Yongqian Zhang
We present a new approach to analyze the validation of weakly nonlinear geometric optics for entropy solutions of nonlinear hyperbolic systems of conservation laws whose eigenvalue…