Search Results - "Munoz, Claudio"

Breathers and the Dynamics of Solutions in KdV Type Equations by Muñoz, Claudio, Ponce, Gustavo

“…In this paper our first aim is to identify a large class of non-linear functions   f (·)  for which the IVP for the generalized Korteweg–de Vries equation does…”
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Nonlinear Stability of MKdV Breathers by Alejo, Miguel A., Muñoz, Claudio

“…Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a natural H 2 topology. Our proof introduces a new Lyapunov…”
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Phonological development of Spanish–Valencian bilingual children by Fuenzalida-Muñoz, Claudio

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On local energy decay for solutions of the Benjamin–Ono equation by Freire, Ricardo, Linares, Felipe, Muñoz, Claudio, Ponce, Gustavo

“…We consider the long time dynamics of large solutions to the Benjamin–Ono equation. Using virial techniques, we describe regions of space where every solution…”
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On the variational structure of breather solutions I: Sine-Gordon equation by Alejo, Miguel A., Muñoz, Claudio, Palacios, José M.

“…In this paper we describe stability properties of the Sine-Gordon breather solution. These properties are first described by suitable variational elliptic…”
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Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes by Kowalczyk, Michał, Martel, Yvan, Muñoz, Claudio

“…In this paper, we consider the dynamics of even solutions of the one-dimensional nonlinear Klein–Gordon equation \partial_t^2 \phi - \partial_x^2 \phi + \phi -…”
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Spectral investigation of Mercury's pits' surroundings: Constraints on the planet's explosive activity by Barraud, Océane, Besse, Sébastien, Doressoundiram, Alain, Cornet, Thomas, Muñoz, Claudio

“…The understanding of volcanic explosive episodes on the surface of Mercury has important implications for the origin, history and inventory of Mercury’s…”
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On Asymptotic Stability of the Sine-Gordon Kink in the Energy Space by Alejo, Miguel A., Muñoz, Claudio, Palacios, José M.

“…We consider the sine-Gordon (SG) equation in 1 + 1 dimensions. The kink is a static, non symmetric exact solution to SG, stable in the energy space H 1 × L 2 …”
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Transcriptional regulation of the anthocyanin biosynthesis pathway in developing grapevine berries in cultivar ‘Malbec’ by putative R2R3 MYB negative regulators by Muñoz, Claudio, Fanzone, Martin, Lijavetzky, Diego

“…•The expression profiles of R2R3-MYB C2 repressors show spatiotemporal differences in Malbec and Alicante Bouschet berries.•VviMyb4a and VviMyb4b may repress…”
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On the Dynamics of Zero-Speed Solutions for Camassa–Holm-Type Equations by Alejo, Miguel A, Cortez, Manuel Fernando, Kwak, Chulkwang, Muñoz, Claudio

“…Abstract In this paper, we consider globally defined solutions of Camassa–Holm (CH)-type equations outside the well-known nonzero-speed, peakon region. These…”
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Inelastic Character of Solitons of Slowly Varying gKdV Equations by Muñoz, Claudio

“…In this paper we study soliton-like solutions of the variable coefficients, the subcritical gKdV equation with a strictly increasing, positive and…”
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Scattering in the Energy Space for Boussinesq Equations by Muñoz, Claudio, Poblete, Felipe, Pozo, Juan C.

“…In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity,…”
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Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation by Kazeykina, Anna, Muñoz, Claudio

“…We consider the Cauchy problem for the two-dimensional Novikov–Veselov equation integrable via the inverse scattering problem for the Schrödinger operator with…”
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On local energy decay for large solutions of the Zakharov-Kuznetsov equation by Mendez, Argenis J., Muñoz, Claudio, Poblete, Felipe, Pozo, Juan C.

“…We consider the Zakharov-Kutznesov (ZK) equation posed in with d = 2 and 3. Both equations are globally well-posed in In this article, we prove local energy…”
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Whole genome resequencing and custom genotyping unveil clonal lineages in ‘Malbec’ grapevines (Vitis vinifera L.) by Calderón, Luciano, Mauri, Nuria, Muñoz, Claudio, Carbonell-Bejerano, Pablo, Bree, Laura, Bergamin, Daniel, Sola, Cristobal, Gomez-Talquenca, Sebastian, Royo, Carolina, Ibáñez, Javier, Martínez-Zapater, José Miguel, Lijavetzky, Diego

“…Grapevine cultivars are clonally propagated to preserve their varietal attributes. However, genetic variations accumulate due to the occurrence of somatic…”
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Review on the Stability of the Peregrine and Related Breathers by Alejo, Miguel A., Fanelli, Luca, Muñoz, Claudio

“…In this note, we review stability properties in energy spaces of three important nonlinear Schrödinger breathers: Peregrine, Kuznetsov-Ma, and Akhmediev. More…”
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Multi-solitons for nonlinear Klein–Gordon equations by CÔTE, RAPHAËL, MUÑOZ, CLAUDIO

“…In this paper, we consider the existence of multi-soliton structures for the nonlinear Klein–Gordon (NLKG) equation in $\def \xmlpi #1{}\def \mathsfbi…”
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The Calderón’s Problem via DeepONets by Castro, Javier, Muñoz, Claudio, Valenzuela, Nicolás

“…We consider the Dirichlet-to-Neumann operator and the direct and inverse Calderón’s mappings appearing in the Inverse Problem of recovering a smooth bounded…”
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On the variational structure of breather solutions II: periodic mKdV equation by Miguel A. Alejo, Claudio Munoz, Jose M. Palacios

“…We study the periodic modified KdV equation, where a periodic in space and time breather solution is known from the work of Kevrekidis et al.\ [19]. We show…”
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Transcranial Doppler is complementary to echocardiography for detection and risk stratification of patent foramen ovale by Tobe, Joshua, M.D, Bogiatzi, Chrysi, M.D, Munoz, Claudio, M.D., Ph.D, Tamayo, Arturo, M.D, Spence, J David, M.D

“…Abstract Background In patients with patent foramen ovale (PFO), strategies are needed to identify patients at higher risk, who might benefit from PFO closure…”
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