Dissipative solutions for the modified two–component Camassa–Holm system

a study on construction of iranian life tables: the case study of modified brass logit system

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Dissipative Solutions for the Camassa–holm Equation

has been extensively studied since the first systematic analysis in [5, 6]. Part of the attraction is the surprising complexity of the equation and its deep and nontrivial properties. To list a few of its peculiarities: The Camassa–Holm equation has a bi-Hamiltonian structure [16], it is completely integrable [5], and it has infinitely many conserved quantities [5]. Here we study the equation w...

Dissipative cosmological solutions

The exact general solution to the Einstein equations in a homogeneous Universe with a full causal viscous fluid source for the bulk viscosity index m = 1/2 is found. We have investigated the asymptotic stability of Friedmann and de Sitter solutions, the former is stable for m ≥ 1/2 and the latter for m ≤ 1/2. The comparison with results of the truncated theory is made. For m = 1/2, it was found...

On the Blow-Up of Solutions of a Weakly Dissipative Modified Two-Component Periodic Camassa-Holm System

Viscosity Solutions and Computation for Dissipative Systems

Recent activity in nonlinear H∞ control has sparked renewed interest in the theory of dissipative nonlinear systems. This theory was initiated byWillems (1972) and developed further by Hill & Moylan (1976). Central to this theory are the so-called storage functions. These functions are generalized energy functions defined in terms of dissipation inequalities. The natural infinitesimal versions ...