Search Results - "Nakasato, Jean Carlos"

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  1. 1

    The p-Laplacian equation in thin domains: The unfolding approach by Arrieta, José M., Nakasato, Jean Carlos, Pereira, Marcone Corrêa

    Published in Journal of Differential Equations (15-02-2021)
    “…In this work we apply the so called Unfolding Operator Method to analyze the asymptotic behavior of the solutions of the p-Laplacian equation with Neumann…”
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    Journal Article
  2. 2

    Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries by Nakasato, Jean Carlos, Pereira, Marcone Corrêa

    Published in Advanced nonlinear studies (11-09-2023)
    “…In this work, we analyze the asymptotic behavior of a class of quasilinear elliptic equations defined in oscillating -dimensional thin domains (i.e., a family…”
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    Journal Article
  3. 3

    Asymptotic modeling of the current flow system described by the p(x)$p(x)$‐Laplacian by Nakasato, Jean Carlos, Pažanin, Igor

    “…Abstract Starting from the ‐Laplace thermistor model, in this paper we rigorously derive the effective model describing the current flow in a thin domain. We…”
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  4. 4

    A reiterated homogenization problem for the p-Laplacian equation in corrugated thin domains by Nakasato, Jean Carlos, Pereira, Marcone Corrêa

    Published in Journal of Differential Equations (25-05-2024)
    “…In this paper, we study the asymptotic behavior of the solutions of the p-Laplacian equation with mixed homogeneous Neumann-Dirichlet boundary conditions. It…”
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    Journal Article
  5. 5

    An optimal control problem in a tubular thin domain with rough boundary by Nakasato, Jean Carlos, Corrêa Pereira, Marcone

    Published in Journal of Differential Equations (15-03-2022)
    “…In this paper we analyze the asymptotic behavior of a control problem set by a convection-reaction-diffusion equation with mixed boundary conditions and…”
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    Journal Article
  6. 6

    Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary by Nakasato, Jean Carlos, Pažanin, Igor

    “…In this paper, we study the flow of a non-Newtonian fluid through a thin three-dimensional domain with an oscillating boundary. Starting from a nonlinear…”
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  7. 7

    Homogenization in 3D thin domains with oscillating boundaries of different orders by Arrieta, José M., Nakasato, Jean Carlos, Villanueva-Pesqueira, Manuel

    Published in Nonlinear analysis (01-02-2025)
    “…This paper presents an extension of the unfolding operator technique, initially applied to two-dimensional domains, to the realm of three-dimensional thin…”
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    Journal Article
  8. 8

    On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary by Nakasato, Jean Carlos, Pažanin, Igor, Pereira, Marcone Corrêa

    “…In this paper, we investigate the roughness-induced effects on the nonlinear system describing the non-isothermal Hele-Shaw flow of a non-Newtonian fluid…”
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  9. 9

    Reaction–diffusion problem in a thin domain with oscillating boundary and varying order of thickness by Nakasato, Jean Carlos, Pažanin, Igor, Pereira, Marcone C.

    “…In this paper, we study a reaction–diffusion problem in a thin domain with varying order of thickness. Motivated by the applications, we assume the oscillating…”
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  10. 10

    The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary by Nogueira, Ariadne, Nakasato, Jean Carlos

    Published in Annali di matematica pura ed applicata (01-10-2020)
    “…In this work, we use reiterated homogenization and unfolding operator approach to study the asymptotic behavior of the solutions of the p -Laplacian equation…”
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    Journal Article
  11. 11

    Nonlinear coupled system in thin domains with corrugated boundaries for metabolic processes by Cardone, Giuseppe, Faella, Luisa, Nakasato, Jean Carlos, Perugia, Carmen

    “…In this paper, we study the asymptotic behaviour of solutions of a coupled system of partial differential equations in a thin domain with oscillating boundary…”
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    Journal Article
  12. 12

    Roughness-induced effects on the convection-diffusion-reaction problem in a thin domain by Nakasato, Jean Carlos, Pažanin, Igor, Pereira, Marcone Corrêa

    Published in Applicable analysis (04-04-2021)
    “…In this paper, we investigate a convection-diffusion-reaction problem in a thin domain endowed with the Robin-type boundary condition describing the reaction…”
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    Journal Article
  13. 13

    Homogenization in 3D thin domains with oscillating boundaries of different orders by Arrieta, José M, Nakasato, Jean Carlos, Villanueva-Pesqueira, Manuel

    Published 09-05-2024
    “…This paper presents an extension of the unfolding operator technique, initially applied to two-dimensional domains, to the realm of three-dimensional thin…”
    Get full text
    Journal Article
  14. 14

    The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary by Nogueira, Ariadne, Nakasato, Jean Carlos

    Published 22-11-2019
    “…In this work we use reiterated homogenization and unfolding operator approach to study the asymptotic behavior of the solutions of the $p$-Laplacian equation…”
    Get full text
    Journal Article
  15. 15

    The p-Laplacian operator in oscillating thin domains by Nakasato, Jean Carlos, Pereira, Marcone Corrêa

    Published 29-03-2018
    “…In this paper we study the asymptotic behavior of the solutions of a class of nonlinear elliptic problems posed in a 2-dimensional domain that degenerates into…”
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  16. 16

    Concentrated reaction terms on the boundary of rough domains for a quasilinear equation by Nogueira, Ariadne, Nakasato, Jean Carlos, Pereira, Marcone C

    Published 04-11-2019
    “…In this work we analyze the solutions of a $p$-Laplacian equation with homogeneous Neumann boundary conditions set in a family of rough domains with a…”
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    Journal Article
  17. 17

    The p-Laplacian equation in thin domains: The unfolding approach by Arrieta, José Maria, Nakasato, Jean Carlos, Pereira, Marcone Corrêa

    Published 23-01-2019
    “…In this work we apply the unfolding operator method to analyze the asymptotic behavior of the solutions of the $p$-Laplacian equation with Neumann boundary…”
    Get full text
    Journal Article