Search Results - "Nakasato, Jean Carlos"
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The p-Laplacian equation in thin domains: The unfolding approach
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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2
Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries
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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3
Asymptotic modeling of the current flow system described by the p(x)$p(x)$‐Laplacian
Published in Zeitschrift für angewandte Mathematik und Mechanik (28-09-2024)“…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
A reiterated homogenization problem for the p-Laplacian equation in corrugated thin domains
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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5
An optimal control problem in a tubular thin domain with rough boundary
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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6
Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary
Published in Zeitschrift für angewandte Mathematik und Physik (01-12-2023)“…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
Homogenization in 3D thin domains with oscillating boundaries of different orders
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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8
On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary
Published in Journal of mathematical analysis and applications (01-08-2023)“…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
Reaction–diffusion problem in a thin domain with oscillating boundary and varying order of thickness
Published in Zeitschrift für angewandte Mathematik und Physik (01-02-2021)“…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
The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary
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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11
Nonlinear coupled system in thin domains with corrugated boundaries for metabolic processes
Published in Annali di matematica pura ed applicata (2024)“…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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12
Roughness-induced effects on the convection-diffusion-reaction problem in a thin domain
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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13
Homogenization in 3D thin domains with oscillating boundaries of different orders
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…”
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14
The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary
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…”
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15
The p-Laplacian operator in oscillating thin domains
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
Concentrated reaction terms on the boundary of rough domains for a quasilinear equation
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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17
The p-Laplacian equation in thin domains: The unfolding approach
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…”
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