Search Results - "FIGUEIRA, MÁRIO"
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A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity
Published in Nonlinear differential equations and applications (01-05-2023)“…In this short note, we consider the elliptic problem λ ϕ + Δ ϕ = η | ϕ | σ ϕ , ϕ | ∂ Ω = 0 , λ , η ∈ C , on a smooth domain Ω ⊂ R N , N ⩾ 1 . The presence of…”
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Torquetenovirus viral load is associated with anti‐spike antibody response in SARS‐CoV‐2 mRNA BNT162b2 vaccinated kidney transplant patients
Published in Clinical transplantation (01-12-2022)“…Introduction Kidney transplant patients (KT) are at high risk for severe COVID‐19 and presented attenuated antibody responses to vaccination when compared to…”
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3
Spatial plane waves for the nonlinear Schrödinger equation: Local existence and stability results
Published in Communications in partial differential equations (03-04-2017)“…We consider the Cauchy problem for the nonlinear Schrödinger equation on ℝ 2 , , λ∈ℝ, σ>0. We introduce new functional spaces over which the initial value…”
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4
Effect of organoclay on blends of individually plasticized thermoplastic starch and polypropylene
Published in Industrial crops and products (01-01-2014)“…•A maleated polypropylene sample was ineffective to compatibilize cornstarch and polypropylene.•Glycerol and acetyl tributyl citrate were mixed with each…”
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Convergence of a numerical scheme for a coupled Schrödinger–KdV system
Published in Revista matemática complutense (01-07-2013)“…We prove the convergence in a strong norm of a finite difference semidiscrete scheme approximating a coupled Schrödinger–KdV system on a bounded domain. This…”
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Existence and Stability of Spatial Plane Waves for the Incompressible Navier–Stokes in $$\mathbb {R}^3$$ R 3
Published in Journal of mathematical fluid mechanics (01-03-2018)Get full text
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Existence and Stability of Spatial Plane Waves for the Incompressible Navier–Stokes in R 3
Published in Journal of mathematical fluid mechanics (01-01-2018)“…We consider the three-dimensional incompressible Navier–Stokes equation on the whole space. We observe that this system admits a L∞ family of global spatial…”
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Existence and Stability of Spatial Plane Waves for the Incompressible Navier–Stokes in R3
Published in Journal of mathematical fluid mechanics (2018)“…We consider the three-dimensional incompressible Navier–Stokes equation on the whole space. We observe that this system admits a L ∞ family of global spatial…”
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9
Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system
Published in Nonlinear analysis (15-10-2010)“…We derive some new results concerning the Cauchy problem and the existence of bound states for a class of coupled nonlinear Schrödinger-gKdV systems. In…”
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10
Coupled Nonlinear Schrödinger Equations with a Gauge Potential: Existence and Blowup
Published in Studies in applied mathematics (Cambridge) (01-04-2016)“…We study solutions of the Cauchy problem for nonlinear Schrödinger system in R3 with nonlinear coupling and linear coupling modeling synthetic magnetic field…”
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11
Finite-time blowup for a complex Ginzburg–Landau equation with linear driving
Published in Journal of evolution equations (2014)“…In this paper, we consider the complex Ginzburg–Landau equation u t = e i θ [ Δ u + | u | α u ] + γ u on R N , where α > 0 , γ ∈ R and - π / 2 < θ < π / 2 . By…”
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12
Vanishing Viscosity with Short Wave–Long Wave Interactions for Systems of Conservation Laws
Published in Archive for rational mechanics and analysis (01-06-2010)“…Motivated by Benney’s general theory, we propose new models for short wave–long wave interactions when the long waves are described by nonlinear systems of…”
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13
The cauchy problem for coupled nonlinear Schrödinger equations with linear damping: Local and global existence and blowup of solutions
Published in Chinese annals of mathematics. Serie B (01-09-2016)“…The authors study, by applying and extending the methods developed by Cazenave (2003), Dias and Figueira (2014), Dias et al. (2014), Glassey (1994–1997), Kato…”
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14
Supercritical Blowup in Coupled Parity-Time-Symmetric Nonlinear Schrödinger Equations
Published in Studies in applied mathematics (Cambridge) (01-11-2014)“…We prove finite time supercritical blowup in a parity‐time‐symmetric system of the two coupled nonlinear Schrödinger (NLS) equations. One of the equations…”
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15
Complex Ginzburg–Landau Equation with Absorption: Existence, Uniqueness and Localization Properties
Published in Journal of mathematical fluid mechanics (01-06-2014)“…In this paper we study the time-dependent complex Ginzburg–Landau equation with a nonlinear absorbing term in Ω × ( 0 , T ) , Ω open bounded set in R n . We…”
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16
Vanishing viscosity with short wave–long wave interactions for multi-D scalar conservation laws
Published in Journal of Differential Equations (01-08-2011)“…We consider a system coupling a multidimensional semilinear Schrödinger equation and a multidimensional nonlinear scalar conservation law with viscosity, which…”
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The Cauchy Problem for Coupled Nonlinear Schrdinger Equations with Linear Damping: Local and Global Existence and Blowup of Solutions
Published in 数学年刊B辑(英文版) (2016)“…The authors study, by applying and extending the methods developed by Cazenave(2003), Dias and Figueira(2014), Dias et al.(2014), Glassey(1994–1997),…”
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18
The Linear Stability of Shock Waves for the Nonlinear Schrödinger–Inviscid Burgers System
Published in Journal of dynamics and differential equations (01-03-2013)“…We investigate the coupling between the nonlinear Schrödinger equation and the inviscid Burgers equation, a system which models interactions between short and…”
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19
On the Cauchy Problem Describing an Electron-Phonon Interaction
Published in Chinese annals of mathematics. Serie B (01-07-2011)“…In this paper, a model is derived to describe a quartic anharmonic interatomic interaction with an external potential involving a pair electron-phonon. The…”
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A note on bifurcations from eigenvalues of the Dirichlet-Laplacian with arbitrary multiplicity
Published 27-04-2022“…In this short note, we consider the elliptic problem $$ \lambda \phi + \Delta \phi = \eta|\phi|^\sigma \phi,\quad \phi\big|_{\partial \Omega}=0,\quad \lambda,…”
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