Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System

In the study of solutions to the relativistic Boltzmann equation, their regularity with respect to the momentum variables has been an outstanding question, even local in time, due to the initially unexpected growth in the post-collisional momentum variables which was discovered in 1991 by Glassey & Strauss \cite{MR1105532}. We establish momentum regularity within energy spaces via a new splitting technique and interplay between the Glassey-Strauss frame and the center of mass frame of the relativistic collision operator. In a periodic box, these new momentum regularity estimates lead to a proof of global existence of classical solutions to the two-species relativistic Vlasov-Boltzmann-Maxwell system for charged particles near Maxwellian with hard ball interaction.Comment: 23 pages; made revisions which were suggested by the referee; to appear in Comm. Math. Phy

Revisiting Goal-Oriented Requirements Engineering with a Regulation View

Goal-Oriented Requirements Engineering (GORE) is considered to be one of the main achievements that the Requirements Engineering field has produced since its inception. Several GORE methods were designed in the last twenty years in both research and industry. In analyzing individual and organizational behavior, goals appear as a natural element. There are other organizational models that may better explain human behavior, albeit at the expense of more complex models. We present one such alternative model that explains individual and organizational survival through continuous regulation. We give our point of view of the changes needed in GORE methods in order to support this alternative view through the use of maintenance goals and beliefs. We illustrate our discussion with the real example of a family practitioner association that needed a new information system

Former Channel Habitats of the Sacramento River: Physical and Ecological Processes and Restoration Potential

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