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Theoretical observers for infinite dimensional skew-symmetric systems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 The observer construction has a main importance in the control theory and its applications for the systems of infinite dimension. Even if the system’ state has an infinite dimension, its estimation is given using some physical measures of finite ...
Judicael Deguenon, Barbulescu Alina
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Advances in Nonlinear Analysis, 2021 We consider quasilinear elliptic systems in divergence form. In general, we cannot expect that weak solutions are locally bounded because of De Giorgi’s counterexample. Here we assume that off-diagonal coefficients have a “butterfly support”: this allows
Leonardi Salvatore +3 more
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Fractal and Fractional, 2022 Navier–Stokes (NS) equation, in fluid mechanics, is a partial differential equation that describes the flow of incompressible fluids. We study the fractional derivative by using fractional differential equation by using a mild solution.
Kinda Abuasbeh +3 more
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Well-Posedness and Regularity Results for Fractional Wave Equations with Time-Dependent Coefficients
Fractal and Fractional, 2022 Fractional wave equations with time-dependent coefficients are natural generations of classical wave equations which can be used to characterize propagation of wave in inhomogeneous media with frequency-dependent power-law behavior.
Li Peng, Yong Zhou
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Scientific Reports, 2017 Highly regular laser-induced periodic surface structures (HR-LIPSS) have been fabricated on surfaces of Mo, steel alloy and Ti at a record processing speed on large areas and with a record regularity in the obtained sub-wavelength structures.
I. Gnilitskyi +5 more
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Nonautonomous Dynamical Systems, 2015 In this paper we investigate additional regularity properties for global and trajectory attractors of all globally defined weak solutions of semi-linear parabolic differential reaction-diffusion equations with discontinuous nonlinearities, when initial ...
Gluzman Mark O. +2 more
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Reading Accuracy in EFL Students with a Transparent L1 Background – a Case Study from Poland
Journal of Language and Education, 2015 Research indicates that L2 reading competence is influenced by L1 reading ability, L2 proficiency, and L2 decoding competence. The present study investigates the significance of two variables, regularity and frequency, in relation to English as a Foreign
Monika Łodej
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Validation of the Sleep Regularity Index in Older Adults and Associations with Cardiometabolic Risk
Scientific Reports, 2018 Sleep disturbances, including insufficient sleep duration and circadian misalignment, confer risk for cardiometabolic disease. Less is known about the association between the regularity of sleep/wake schedules and cardiometabolic risk.
Jessica R. Lunsford-Avery +3 more
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Journal of Mathematical Physics, 2000 Motivated by the problem of the dynamics of point-particles in high post-Newtonian (e.g., 3PN) approximations of general relativity, we consider a certain class of functions which are smooth except at some isolated points around which they admit a power-like singular expansion.
Blanchet, Luc, Faye, Guillaume
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Renormalising SPDEs in regularity structures [PDF]
, 2017 The formalism recently introduced in arXiv:1610.08468 allows one to assign a regularity structure, as well as a corresponding "renormalisation group", to any subcritical system of semilinear stochastic PDEs. Under very mild additional assumptions, it was
Y. Bruned +3 more
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