hi,i am trying to solve a simlified two-phase model for the dilute droplets motion in the air. It's derived from the traditional Eulerian two-phase model in which alfa represents the volume fraction of liquid./ (1) /The continuum and momentum equations are as below(for steady problems): par(alfa*u)/par(x)+par(alfa*v)/par(y)=0, par(alfa*u)/par(x)+par(alfa*v*u)/par(y)=Cu*alfa, par(alfa*v)/par(x)+par(alfa*v*v)/par(y)=Cv*alfa. /(2)/

Write the equation in the vector form: par(Q)/par(t)+par(F)/par(x)+par(G)/Par(y),and the Jacobian Matrix A=par(F)/par(Q),B=par(G)/par(Q).I find the three eigenvalues of matrix A are lemda(1,2,3)=u, and lemda(1,2,3)=v for matrix B. So maybe it's not hyperbolic ? is it ill-posed? I'll be grateful for any suggestions!! Thanks!! Maximus

Am interested in your problem. Please e-mail me your work I can help