The relaxation limit for systems of Broadwell type
The authors studied the Cauchy problem for a system of Broadwell type \[ f_{1t}+ f_{1x}= {F(f_1, f_2,f_3)\over\tau},\quad f_{2t}- f_{2x}= {F(f_1, f_2,f_3)\over \tau},\quad f_{3t}= {F(f_1, f_2,f_3)\over 2\tau}. \] By using the viscous approximation method and a compensated compactness argument they prove the existence of a global weak solution of the viscous approximate system, and confirm that the limit of the solution is the solution of the corresponding Cauchy problem of the equilibrium system.
scientific article; zbMATH DE number 1832809