299,053 research outputs found
Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations
In this Note, we present a Calder\'on-type uniqueness theorem on the Cauchy
problem of stochastic partial differential equations. To this aim, we introduce
the concept of stochastic pseudo-differential operators, and establish their
boundedness and other fundamental properties. The proof of our uniqueness
theorem is based on a new Carleman-type estimate.Comment:
Stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities
This paper considers the stochastic stability and stabilization of discrete-time singular Markovian jump systems with partially unknown transition probabilities. Firstly, a set of necessary and sufficient conditions for the stochastic stability is proposed in terms of LMIs, then a set of sufficient conditions is proposed for the design of a state feedback controller to guarantee that the corresponding closed-loop systems are regular, causal, and stochastically stable by employing the LMI technique. Finally, some examples are provided to demonstrate the effectiveness of the proposed approaches
Thermalization through parton transport
A radiative transport model is used to study kinetic equilibration during the
early stage of a relativistic heavy ion collision. The parton system is found
to be able to overcome expansion and move toward thermalization via parton
collisions. Scaling behaviors show up in both the pressure anisotropy and the
energy density evolutions. In particular, the pressure anisotropy evolution
shows an approximate alpha_s scaling when radiative processes are included. It
approaches an asymptotic time evolution on a time scale of 1 to 2 fm/c. The
energy density evolution shows an asymptotic time evolution that decreases
slower than the ideal hydro evolution. These observations indicate that partial
thermalization can be achieved and viscosity is important for the evolution
during the early longitudinal expansion stage of a relativistic heavy ion
collision.Comment: Presented at the 10th International Conference on Nucleus-Nucleus
Collisions (NN2009), Beijing, China, 16-21 Aug 200
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