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The catalytic decomposition of ozone to molecular oxygen over catalytic mixture containing manganese, copper and nickel oxides was investigated in the present work. The catalytic activity was evaluated on the basis of the decomposition coefficient which is proportional to ozone decomposition rate, and it has been already used in other studies for catalytic activity estimation. The reaction was studied in the presence of thermally modified catalytic samples operating at different temperatures and ozone flow rates. The catalyst changes were followed by kinetic methods, surface measurements, temperature programmed reduction and IR-spectroscopy. The phase composition of the metal oxide catalyst was determined by X-ray diffraction. The catalyst mixture has shown high activity in ozone decomposition at wet and dry O3/O2 gas mixtures. The mechanism of catalytic ozone degradation was suggested.

In this manuscript, lifespan of solutions to semilinear classical damped wave equations is investigated when the sum of initial position and speed is $ 0 $ pointwisely. The results in the existing literature are considered mainly in the case when the sum is positive. Here, it is shown that lifespan is extended with appropriate initial data with modified ODE approach. The result implies that the blowup mechanics for semilinear damped wave equations cannot be directly described by using the scaling property and the corresponding weak form approach. The results in this work leave different directions for further study of the lifespan behavior of the solutions to semilinear damped wave equations. [ABSTRACT FROM AUTHOR]

Local and global well posedness of the solution to the two space dimensional Dirac equation with Hartree type nonlinearity is established with the initial datum in the Sobolev space of order |$s>0.$| [ABSTRACT FROM AUTHOR]

We consider the half-wave equation with mass critical in two dimensions { i u t = D u − | u | u , u (t 0 , x) = u 0 (x) , First, we prove the existence of a family of traveling solitary waves. We then show the existence of finite-time blowup solutions with ground state mass ‖ u 0 ‖ 2 = ‖ Q ‖ 2 , where Q is the ground state solution of equation D Q + Q = Q 2. [ABSTRACT FROM AUTHOR]