Analysis of the solution structure of non-linear partial differential equations corresponding to the wave phenomena and plasma phenomena

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I conducted a study of mathematics relating to non-linear dissipative wave equations describing wave phenomena and Vlasov type equations describing plasma phenomena. I summarized the results of this research as academic papers and I published in magazines at home and abroad.For example, I got the results on the existence and uniqueness of global solutions and the asymptotic behaviors from the top and bottom of the solutions for degenerate quasi-linear hyperbolic partial differential equations to the initial boundary value problem. Further, I investigated on the conditions of the wave coefficient and the initial data for obtaining the results.