Uniform Attractor for an N-Dimensional Parabolic System with Impulsive Perturbation
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DOI: 10.1007/s10958-021-05299-1
Abstract: We consider a weakly nonlinear N-dimensional parabolic system whose solutions are subjected to impulsive perturbations upon attainment of a certain fixed subset in the phase space. For broad classes of impulsive perturbations, it is proved… read more here.
Keywords: parabolic system; system; dimensional parabolic; uniform attractor ... See more keywords
Wave localization in two dimensional parabolic periodic refractive index profiles: a 4th order Runge–Kutta study
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DOI: 10.1007/s11082-018-1382-7
Abstract: In this work, we have studied the wave localization in a two dimensional parabolic periodic refractive index profile. Our calculations have been performed by developing a 4th order Runge–Kutta method. Effects of different parameters in… read more here.
Keywords: index; refractive index; two dimensional; dimensional parabolic ... See more keywords
GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION
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DOI: 10.18910/67749
Abstract: We study the global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth. We introduce superlinear production of a chemoattractant. We then show the global existence of solutions in $L_p$ space… read more here.
Keywords: global existence; production; solutions dimensional; dimensional parabolic ... See more keywords