The Zero-relaxation Limits Of Two-fluid Euler-maxwell Equations

In this dissertation, we study zero-relaxation limit for two-fluid Euler-Maxwellequations with asymptotic expansion, energy estimation and some importantinequalities, including Young inequality, H lder inequality and embedding theoremand so on.For the well-prepared initial data, we get the error estimates through the methodof asymptotic expansion. We take the approximate solution of order m into theEuler-Maxwell equations, there comes up error equations. Then we get error estimatesbe high order about relaxation time.For the ill-prepared initial data, we construct a two order asymptotic expansionincluding initial layer. Then we get error estimates through taking asymptoticexpansion into systems.Finally, we conclude a theorem which implies both the well-prepared initial dataand the ill-prepared initial data.