We show that the Benjamin–Ono equation is globally well-posed in H s (R) for s≥1. This is despite the presence of the derivative in the nonlinearity, which causes the solution map to not be uniformly continuous in H s for any s [18]. The main new ingredient is to perform a global gauge transformation which…
Journal of Hyperbolic Differential Equations Template
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About the Journal of Hyperbolic Differential Equations format
Journal of Hyperbolic Differential Equations is a peer-reviewed journal published by World Scientific, covering Advanced Mathematical Physics Problems, Navier-Stokes equation solutions, Stability and Controllability of Differential Equations.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Journal of Hyperbolic Differential Equations 12, 45–58 (2023).
Formats any DOI in the closest standard style — Journal of Hyperbolic Differential Equations has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Advanced Mathematical Physics Problems Navier-Stokes equation solutions Stability and Controllability of Differential Equations Computational Fluid Dynamics and Aerodynamics Fluid Dynamics and Turbulent Flows |
| ISSN | 0219-8916 |
| Citation impact (2-yr) | 0.98 |
| h-index | 45 |
| i10-index | 223 |
| Total citations | 8,502 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Journal of Hyperbolic Differential Equations per year
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Most-cited papers in Journal of Hyperbolic Differential Equations
We look for the optimal range of Lebesque exponents for which inhomogeneous Strichartz estimates are valid. It is known that this range is larger than the one given by admissible exponents for homogeneous estimates. We prove inhomogeneous estimates in this larger range adopting the abstract setting and interpolation techniques already used by Keel and Tao…
We deal with a single conservation law in one space dimension whose flux function is discontinuous in the space variable and we introduce a proper framework of entropy solutions. We consider a large class of fluxes, namely, fluxes of the convex-convex type and of the concave-convex (mixed) type. The alternative entropy framework that is proposed…
We consider a conservation law in the domain Ω ⊂ ℝ n+1 with C 1 boundary ∂Ω. For a wide class of functions including generalized entropy sub- and super-solutions, we prove the existence of strong traces for normal components of the entropy fluxes on ∂Ω. Non-degeneracy conditions on the flux are not required.
The Euler–Maxwell system regarded as a hydrodynamic model for plasma physics describes the dynamics of 'compressible electrons' in a constant, charged, non-moving ion background. A global smooth flow with small amplitude is constructed here in three space dimensions when the electron velocity relaxation is taken into account. The speed of the electron flow tending to…