Abstract: The next order conditions across a three-dimensional curved shock near stagnation point have been established, including the effects of heat conduction, viscosity and the shock structure. These shock conditions involve the local shock curvature in addition to its local inclination. Explicit results have been obtained for the correctional formulations in the mass flux across the shock, the stagnation enthalpy, the tangential component of velocity and the normal component of momentum flux.

Key words: stock market, option pricing, Black-Scholes model, probability and certainty, differential equation