1 Khmelnik S.I. More about the inconsistency solution of the Maxwell equations Annotation A brief description of the non-contradictory solution of the Maxwell equations given in [1] and new additions are given. Contents 1. Introduction 2. Solution of Maxwell's Equations 3. Intensities 4. Energy Flows 5. Velocity of energy movement 6. Momentum and moment of momentum 7. Discussion 1. Introduction “To date, whatsoever effect that would request a modification of Maxwell’s equations escaped detection” [4]. Nevertheless, recently criticism of validity of Maxwell equations is heard from all sides. Have a look at the Fig.1 that shows a wave being a known solution of Maxwell’s equations. The confidence of critics is created first of all by the violation of the Law of energy conservation. And certainly "the density of electromagnetic energy flow (the module of Umov-Pointing vector) pulsates harmonically. Doesn't it violate the Law of energy conservation?" [3]. Certainly, it is violated, if the electromagnetic wave satisfies the known solution of Maxwell equations. But there is no other solution: "The proof of solution's uniqueness in general is as follows. If there are two different solutions, then their difference due to the system's linearity, will also be a solution, but for zero charges and currents and for zero initial conditions. Hence, using the expression for electromagnetic field energy we must conclude that the difference between solutions is equal to zero, which means that the solutions are identical. Thus the uniqueness of Maxwell equations solution is proved" [4]. So, the uniqueness of solution is being proved on the base of using the law which is violated in this solution. Another result following from the existing solution of Maxwell equations is phase synchronism of electrical and magnetic components of intensities in an electromagnetic wave. This is contrary to the idea of constant transformation of electrical and magnetic components of energy