Determination Of Positive Solution Of Quasilinear Parabolic Equations With Nonlinearity Of Convection Term

Abstract

Determination of positive Solution of Quasilinear Parabolic equation is useful and effective for the study of surfaces in geometry in a variety of areas ,including economics and financial mathemat ics ,as well as computer technology .The problems are associated with transfer or movement of different physical quantities. This study focused on Determination of positive Solution of Quasi linear Parabolic equation with nonlinearity of convection term by using the methods of Integra tion,Euclidean norm, Holder’s Inequality , Young’s Inequality and Poincare Inequality . The Result contribution some additional assumptions on Quasilinear Parabolic equations with non linear convection terms.For example Heat transfer is slow in material with small thermal conductiv ity and fast in material with large thermal conductivity. Finally it is observed Holder’s Inequality,Young’s Inequality and Poincare Inequality are excellent and convergent method for the solution of Quasilinear Parabolic equations