Asymptotic behaviour of solution and non-existence of global solution to a class of conformable time-fractional stochastic equation

Sludge management is a more and more complex problem due to increased difficulties in locating disposal works and meeting more stringent environmental quality requirements. The most recent notable developments in conventional processing systems have regarded dewatering and stabilization, which remain essential prerequisites to any disposal method. With the increasing pressure on disposal options, such as agricultural use and landfilling, there has been a resurgence of interest in incineration. New processes and alternative uses have been proposed and experienced, but most of them still require further investigations to evaluate effectiveness and reliability. In any case, it is not realistic to search for a global solution to the problem, but the best solutions must derive from local and site-specific considerations.

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Asymptotic behaviour of sample weighted circuits representing recurrent Markov chains

Journal of Applied Probability ◽

10.1017/s0021900200039103 ◽

1990 ◽

Vol 27 (03) ◽

pp. 545-556 ◽

Cited By ~ 2

Author(s):

S. Kalpazidou

Keyword(s):

Markov Chain ◽

Markov Chains ◽

Asymptotic Behaviour ◽

Probabilistic Interpretation ◽

Stationary Markov Chain

The asymptotic behaviour of the sequence (𝒞 n (ω), wc,n (ω)/n), is studied where 𝒞 n (ω) is the class of all cycles c occurring along the trajectory ωof a recurrent strictly stationary Markov chain (ξ n ) until time n and wc,n (ω) is the number of occurrences of the cycle c until time n. The previous sequence of sample weighted classes converges almost surely to a class of directed weighted cycles (𝒞∞, ω c ) which represents uniquely the chain (ξ n ) as a circuit chain, and ω c is given a probabilistic interpretation.

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Well-posedness and asymptotic behaviour of a wave equation with non-monotone memory kernel

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01525-7 ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Rongsheng Mu ◽

Genqi Xu

Keyword(s):

Wave Equation ◽

Asymptotic Behaviour ◽

Well Posedness ◽

Memory Kernel

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Asymptotic behaviour of ground state solutions for the fractional Hénon equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125456 ◽

2021 ◽

pp. 125456

Author(s):

Haixia Chen ◽

Xiaolin Xu ◽

Xiaolong Yang

Keyword(s):

Asymptotic Behaviour ◽

Ground State ◽

Ground State Solutions ◽

Hénon Equation

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e-Navigating in highly-constrained waters: a case study of the Vistula Lagoon

Journal of Navigation ◽

10.1017/s0373463320000661 ◽

2021 ◽

pp. 1-10

Author(s):

Adam Weintrit ◽

Jacek Pietraszkiewicz ◽

Wiesław Piotrzkowski ◽

Wojciech Tycholiz

Keyword(s):

High Resolution ◽

Global Solution ◽

Transition Process ◽

Practical Implementation ◽

Vistula Lagoon ◽

Digital Era ◽

High Resolution Bathymetry ◽

Marine Navigation ◽

The Vistula Lagoon

Abstract In recent years the transition of marine navigation to the digital era has been gaining momentum. Implementation of e-Navigation solutions varies from country to country in terms of their priorities, goals, levels and effects. Maritime authorities in Poland have been setting the pace in this transition process, not only in Poland but also in general as a global solution. The most recent example is the planned deployment of a variety of e-Navigation tools in the Vistula Lagoon: from GNSS-RTK Ground-Based Augmentation System, to virtual and synthetic aids to navigation, high-resolution bathymetry and advanced navigational software for piloting. The major objectives of this paper are, first, to summarise recent dynamics in the e-Navigation field, and second, to present a practical implementation of the e-Navigation concept in the Vistula Lagoon area.

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