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A system of two first-order quasilinear equations consisting of one nonhomogenous hyperbolic conservation law and an ordinary differential equation is investigated in two spatial dimensions. The initial boundary-value problem is solved for the system and existence, uniqueness, and stability...
We show that the concept of a section along a map is a fundamental concept within the framework of the geometrical description of classical mechanics. We review the higher-order Lagrangian mechanics formulation, and simpler redefinitions of basic objects appear in a natural way. As an...
In this paper a notion of irreversibility for mass actio kinetic systems is defined. Then we prove that every reaction simplex of an irreversible mass action kinetic system of coindex 1 contains exactly one equilibrium point and that for any choice of initial concentrations in the reaction...
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