Parabolic microphones offer a fascinating blend of geometry and acoustics, enabling long-distance sound capture with surprising clarity. From dish-shaped reflectors to pinpoint audio focus, this quick ...
ABSTRACT: This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n . We primarily provide ...
Eduardo Ariedo is a video game journalist known among friends for leading Bohemians, an Irish football club, to a Champions League title in Football Manager—just mention the game, and his eyes light ...
Journal of Computational Mathematics, Vol. 37, No. 1 (January 2019), pp. 1-17 (17 pages) This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic ...
An illustration of a magnifying glass. An illustration of a magnifying glass.
Department of Mathematical Statistics and Differential Equations, Ivan Franko National University of Lviv, Lviv, Ukraine Problems without initial conditions for evolution equations and variational ...
Abstract: This paper presents an innovative event-triggered control approach for a class of nonlinear parabolic distributed parameter systems with time-varying delays. The novel event triggering ...
Using a generalization of Newton's method, a non-linear parabolic equation of the form ut - uxx = g(u), and a non-linear elliptic equation uxx + uyy = eu, are solved numerically. Comparison of these ...
Proceedings of the American Mathematical Society, Vol. 146, No. 6 (June 2018), pp. 2529-2540 (12 pages) This paper deals with the fully parabolic 1d chemotaxis system with diffusion 1/(1 + 𝑢). We ...
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