Sharp well-posedness for the Benjamin–Ono equation [PDF]
Inventiones Mathematicae, 2023 The Benjamin--Ono equation is shown to be well-posed, both on the line and on the circle, in the Sobolev spaces $H^s$ for $s>-\tfrac12$. The proof rests on a new gauge transformation and benefits from our introduction of a modified Lax pair ...
R. Killip, Thierry Laurens, M. Vişan
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An explicit formula for the Benjamin–Ono equation [PDF]
Tunisian Journal of Mathematics, 2022 We establish an explicit formula for the general solution of the Benjamin-Ono equation on the torus and on the line. Contents 1. Introduction 1 1.1. The Benjamin-Ono equation 1 1.2. The Lax pair 2 1.3. The explicit formula on the torus 3 1.4.
P. Gérard
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A high-order asymptotic analysis of the Benjamin–Feir instability spectrum in arbitrary depth [PDF]
Journal of Fluid Mechanics, 2022 We investigate the Benjamin–Feir (or modulational) instability of Stokes waves, i.e. small-amplitude, one-dimensional periodic gravity waves of permanent form and constant velocity, in water of finite and infinite depth.
R. Creedon, B. Deconinck
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Walter Benjamin’s antifascist education: from riddles to radio
Contemporary Political Theory, 2021 Walter Benjamin’s long-standing concern with learning, education, and teaching is manifest in many of his texts. As a student of the educational reformer Gustav Wyneken and an active member of the German youth movement, Benjamin’s early writings from ...
C. Adler
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New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations
Frontiers of Physics, 2020 We solve distinct forms of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+1)-Dimensional WBBM] equations by employing the method of Sardar-subequation.
H. Rezazadeh, M. Inc., D. Baleanu
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On the propagation of regularity for solutions of the dispersion generalized Benjamin–Ono equation [PDF]
Analysis & PDE, 2019 In this paper we study some properties of propagation of regularity of solutions of the dispersive generalized Benjamin-Ono (BO) equation. This model defines a family of dispersive equations, that can be seen as a dispersive interpolation between ...
A. J. Mendez
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Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation [PDF]
, 2017 This article represents a first step toward understanding the long time dynamics of solutions for the Benjamin-Ono equation. While this problem is known to be both completely integrable and globally well-posed in $L^2$, much less seems to be known ...
M. Ifrim, D. Tataru
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Revista NUPEM, 2021 O presente artigo pretende colocar em diálogo a ideia de tempo e alegoria em Walter Benjamin como instrumentos de análise de fotografias de paisagens do Centro de Florianópolis, Santa Catarina, Brasil.
Daniel Lula Costa +3 more
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Transient spatiotemporal chaos in the complex Ginzburg-Landau equation on long domains [PDF]
, 2010 Numerical simulations of the complex Ginzburg-Landau equation in one spatial dimension on periodic domains with sufficiently large spatial period reveal persistent chaotic dynamics in large parts of parameter space that extend into the Benjamin-Feir ...
Aranson +24 more
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Singularity, violence and universality in Derrida’s ethics: Deconstruction’s struggle with decisionism [PDF]
Filozofija i DruštvoThe starting point of the paper is Derrida’s early discussion of Lévinas, focusing on the suggestion that violence is paradoxically magnified in Lévinas’s attempt to articulate ethics as first philosophy within a metaphysics ostensibly free of ...
Stocker Barry
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