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"This clearly written, self-contained volume studies the basic equations of kinetic theory in all of space. It contains up-to-date, state-of-the-art treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This is the only existing book to treat Boltzmann-type problems and Vlasov-type problems together. Although these equations describe very different phenomena, they share the same streaming term. The author proves that solutions starting from a given configuration at an initial time exist for all future times by imposing appropriate hypotheses on the initial values in several important cases. He emphasizes those questions that a mathematician would ask first: Is there a solution to this problem? Is it unique? Can it be numerically approximated? The topics treated include the study of the Boltzmann collision operator, the study of the initial-value problem for the Boltzmann equation with "small" and "near equilibrium" data, global smooth solvability of the initial-value problem for the Vlasov-Poisson system with smooth initial data of unrestricted size, conditions under which the initial-value problem for the Vlasov-Maxwell system has global-in-time solutions (in both the smooth and weak senses), and more."

"Triglyceride hydrolysis using lipase has been proposed as a novel method to produce raw materials in food and cosmetic industries such as diacylglycerol, monoacylglycerol, glycerol and fatty acid. In order to design a reactor for utilizing this reaction on industrial scale, constructing a kinetic model is important. Since the substrates are oil and water, the hydrolysis takes place at oil-water interface. Furthermore, the triglyceride has three ester bonds, so that the hydrolysis stepwise proceeds. Thus, the reaction mechanism is very complicated. The difference between the interfacial and bulk concentrations of the enzyme, substrates and products, and the interfacial enzymatic reaction mechanism should be considered in the model."

"Model kinetika untuk sintesis biodiesel menggunakan biokatalis telah banyak disusun. Namun model yang telah ada hingga kini belum mampu mendeskripsikan dengan tepat perilaku setiap komponen dalam reaksi interestefikasi trigliserida untuk memproduksi biodiesel. Penelitian dilakukan dengan penyusunan satu model matematis menyeluruh berbasis Ping-Pong Bi Bi dengan kombinasi mekanisme adsorpsi dari sintesis biodiesel menggunakan Candida rugosa lipase sebagai biokatalis. Validitas model diuji dengan melakukan fitting terhadap data eksperimen interesterfikasi metil asetat dengan trigliserida menggunakan Candida rugosa lipase sebagai biokatalis. Parameter kinetika yang didapat, diestimasi secara numerik menggunakan perangkat lunak. Hasil penelitian menunjukkan bahwa model kinetika berbasis mekanisme Ping- Pong Bi Bi dengan kombinasi mekanisme adsorpsi mampu mendeskripsikan dengan baik perilaku kinetika reaksi setiap elemen dari reaksi interesterfikasi trigliserida dengan Candida rugosa lipase tersuspensi.

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Kinetic model for biodiesel synthesis using biocatalyst has ever been constructed. Nevertheless, that all models cannot well describe behavior of all component involve interesterfication of triglyceride to produce biodiesel. This research done by construct a mathematical model based on Ping-Pong Bi Bi mechanism with combination of adsorption mechanism for biodiesel synthesis using Candida rugosa lipase as biocatalyst. Several parameters have been found, are estimated by softwere. Experimental result showed that kinetic model based on Ping-Pong Bi Bi mechanism with combination of adsorption mechanism well describe behavior of all component involve interesterfication of triglyceride using Candida rugosa lipase."