Sharif Digital Repository

In this thesis, some aspects of the Burges and Kardar-Parisi-Zhang (KPZ) equations will be studied. At first we introduce Turbulence and describe historical view of Burgers and KPZ equations. Then in second section we study analytically the time issue of Burgers equation in 1+1-dimenssion. Then by using recently developed precise numerical methods by J. Bec and U. Frisch, we check result of previous section numerically. Our numerical simulation of the Burgers equation stirred by a kicking force support our analytical results. In small time scale our result show dynamical exponent of structure function z is one. This is the essence of the assumption first made by Sir G. I. Taylor in his 1938...