Pregled bibliografske jedinice broj: 1198641
The p-Laplacian in thin channels with locally periodic roughness and different scales
The p-Laplacian in thin channels with locally periodic roughness and different scales // Nonlinearity, 35 (2022), 5; 2474-2512 doi:10.1088/1361-6544/ac62e0/meta (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1198641 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The p-Laplacian in thin channels with locally
periodic roughness and different scales
Autori
Nakasato, Jean Carlos ; Pereira, Marcone Correa
Izvornik
Nonlinearity (0951-7715) 35
(2022), 5;
2474-2512
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
p-Laplacian ; Neumann conditions ; thin domains ; rough boundary ; homogenization
Sažetak
In this work we analyse the asymptotic behaviour of the solutions of the p-Laplacian equation with homogeneous Neumann boundary conditions posed in bounded thin domains as Rε = {;(x, y) ∈ R2 : x ∈ (0, 1) and 0 < y < εG(x, x/ε^α)}; for some α > 0. We take a smooth function G : (0, 1) × R→R, L- periodic in the second variable, which allows us to consider locally periodic oscillations at the upper boundary. The thin domain situation is established passing to the limit in the solutions as the positive parameter ε goes to zero and we determine the limit regime for three case: α < 1, α = 1 and α > 1.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2019-04-1140 - Višeskalni problemi u mehanici fluida (MultiFM) (Pažanin, Igor, HRZZ - 2019-04) ( CroRIS)
HRZZ-IP-2018-01-2735 - Asimptotička analiza rubnih problema u mehanici kontinuuma (ASAN) (Marušić-Paloka, Eduard, HRZZ - 2018-01) ( CroRIS)
Ustanove:
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