Search Results - "Arrieta, José M"

Boundary homogenization for a triharmonic intermediate problem by Arrieta, José M., Ferraresso, Francesco, Lamberti, Pier Domenico

“…We consider the triharmonic operator subject to homogeneous boundary conditions of intermediate type on a bounded domain of the N‐dimensional Euclidean space…”
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Homogenization in a thin domain with an oscillatory boundary by Arrieta, José M., Pereira, Marcone C.

“…In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type R ϵ = { ( x 1 , x 2 ) ∈ R 2 | x 1 ∈…”
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Semilinear parabolic problems in thin domains with a highly oscillatory boundary by Arrieta, José M., Carvalho, Alexandre N., Pereira, Marcone C., Silva, Ricardo P.

“…In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain)…”
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Spectral Analysis of the Biharmonic Operator Subject to Neumann Boundary Conditions on Dumbbell Domains by Arrieta, José M., Ferraresso, Francesco, Lamberti, Pier Domenico

“…We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint…”
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Thin domains with doubly oscillatory boundary by Arrieta, José M., Villanueva-Pesqueira, Manuel

“…We consider a two‐dimensional thin domain with order of thickness ϵ that presents oscillations of amplitude also ϵ on both boundaries, top and bottom, but the…”
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Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems by Arrieta, José M., Lamberti, Pier Domenico

“…We study the spectral behavior of higher order elliptic operators upon domain perturbation. We prove general spectral stability results for Dirichlet, Neumann…”
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Thin domains with non-smooth periodic oscillatory boundaries by Arrieta, José M., Villanueva-Pesqueira, Manuel

“…In this work we study in detail how to adapt the unfolding operator method to thin domains with periodic oscillatory boundaries. We present the unfolding…”
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Homogenization in 3D thin domains with oscillating boundaries of different orders by Arrieta, José M., Nakasato, Jean Carlos, Villanueva-Pesqueira, Manuel

“…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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Distance of attractors of reaction-diffusion equations in thin domains by Arrieta, José M., Santamaría, Esperanza

“…In this work we consider a dissipative reaction–diffusion equation in a d-dimensional thin domain shrinking to a one dimensional segment and obtain good rates…”
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On boundedness of solutions of reaction-diffusion equations with nonlinear boundary conditions by Arrieta, José M.

“…We give conditions on the nonlinearities of a reaction-diffusion equation with nonlinear boundary conditions that guarantee that any solution starting at…”
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The p-Laplacian equation in thin domains: The unfolding approach by Arrieta, José M., Nakasato, Jean Carlos, Pereira, Marcone Corrêa

“…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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Boundedness of Solutions of Nonautonomous Degenerate Logistic Equations by Arrieta, José M., Molina-Rodríguez, Marcos, Santos, Lucas A.

“…In this work we analyze the boundedness properties of the solutions of a nonautonomous parabolic degenerate logistic equation in a bounded domain. The equation…”
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Cascades of Hopf bifurcations from boundary delay by Arrieta, José M., Cónsul, Neus, Oliva, Sergio M.

“…We consider a 1-dimensional reaction–diffusion equation with nonlinear boundary conditions of logistic type with delay. We deal with non-negative solutions and…”
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The Neumann problem in thin domains with very highly oscillatory boundaries by Arrieta, José M., Pereira, Marcone C.

“…In this paper, we analyze the behavior of solutions of the Neumann problem posed in a thin domain of the type Rϵ={(x1,x2)∈R2∣x1∈(0,1),−ϵb(x1)<x2<ϵG(x1,x1/ϵα)}…”
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Asymptotic behavior of degenerate logistic equations by Arrieta, José M., Pardo, Rosa, Rodríguez-Bernal, Aníbal

“…We analyze the asymptotic behavior of positive solutions of parabolic equations with a class of degenerate logistic nonlinearities of the type λu−n(x)uρ. An…”
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Dynamics in dumbbell domains III. Continuity of attractors by Arrieta, José M., Carvalho, Alexandre N., Lozada-Cruz, German

“…In this paper we conclude the analysis started in [J.M. Arrieta, A.N. Carvalho, G. Lozada-Cruz, Dynamics in dumbbell domains I. Continuity of the set of…”
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Dynamics in dumbbell domains II. The limiting problem by Arrieta, José M., Carvalho, Alexandre N., Lozada-Cruz, German

“…In this work we continue the analysis of the asymptotic dynamics of reaction–diffusion problems in a dumbbell domain started in [J.M. Arrieta, A.N. Carvalho,…”
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Dynamics in dumbbell domains I. Continuity of the set of equilibria by Arrieta, José M., Carvalho, Alexandre N., Lozada-Cruz, German

“…We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate…”
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Equilibria and global dynamics of a problem with bifurcation from infinity by Arrieta, José M., Pardo, Rosa, Rodríguez-Bernal, Anibal

“…We consider a parabolic equation u t − Δ u + u = 0 with nonlinear boundary conditions ∂ u ∂ n = λ u + g ( λ , x , u ) , where g ( λ , x , s ) s → 0 as | s | →…”
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Continuity of Dynamical Structures for Nonautonomous Evolution Equations Under Singular Perturbations by Arrieta, José M., Carvalho, Alexandre N., Langa, José A., Rodriguez-Bernal, Aníbal

“…In this paper we study the continuity of invariant sets for nonautonomous infinite-dimensional dynamical systems under singular perturbations. We extend the…”
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