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...Communications in commun math phys zyxwvutsrqponmlkjihgfedcbazyxwvutsrqponmlkjihgfedcba mathematical physics springer verlag convergence of the viscosity method for isentropic gas dynamics ronald j diperna department mathematics duke university durham nc usa abstract a theorem artificial applied to equations is established subsequence strong topology proved without uniform estimates on derivatives using theory compensated compactness and an analysis progressing entropy waves introduction we are concerned with zero diffusion limit hyperbolic systems conservation laws general setting provided by system ofzyxwvutsrqponmlkjihgfedcbazyxwvutsrqponmlkjihgfedcba n one space dimension where u x t er smooth nonlinear map defined region r approximate solutions generated parabolic regularization this paper shall deal cauchy problem processes classical form f d xx establish particular polytropic equation state y p const mass momentum may course be formulated terms primitive densities m yield consid...