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Asymptotic Analysis - Volume 129, issue 3-4

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Price: EUR 420.00
ISSN 0921-7134 (P)
ISSN 1875-8576 (E)

Impact Factor 2024: 1.1

The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. 

Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.

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Coupled local/nonlocal models in thin domains

Authors: dos Santos, Bruna C. | Oliva, Sergio M. | Rossi, Julio D.

Article Type: Research Article

Abstract: In this paper, we analyze a model composed by coupled local and nonlocal diffusion equations acting in different subdomains. We consider the limit case when one of the subdomains is thin in one direction (it is concentrated to a domain of smaller dimension) and as a limit problem we obtain coupling between local and nonlocal equations acting in domains of different dimension. We find existence and uniqueness of solutions and we prove several qualitative properties (like conservation of mass and convergence to the mean value of the initial condition as time goes to infinity).

Keywords: Nonlocal diffusion, heat equation, asymptotic behavior

DOI: 10.3233/ASY-211740

Citation: Asymptotic Analysis, vol. 129, no. 3-4, pp. 545-575, 2022

Price: EUR 27.50

Global existence, nonexistence, and decay of solutions for a wave equation of p-Laplacian type with weak and p-Laplacian damping, nonlinear boundary delay and source terms

Authors: Boumaza, Nouri | Gheraibia, Billel

Article Type: Research Article

Abstract: In this paper, we consider the initial boundary value problem for the p -Laplacian equation with weak and p -Laplacian damping terms, nonlinear boundary, delay and source terms acting on the boundary. By introducing suitable energy and perturbed Lyapunov functionals, we prove global existence, finite time blow up and asymptotic behavior of solutions in cases p > 2 and p = 2 . To our best knowledge, there is no results of the p -Laplacian equation with a nonlinear boundary delay term.

Keywords: p-Laplacian equation, strong damping, delay term, nonlinear boundary conditions, global existence, general decay, finite time blow up

DOI: 10.3233/ASY-211742

Citation: Asymptotic Analysis, vol. 129, no. 3-4, pp. 577-592, 2022

Price: EUR 27.50
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