Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Melinand, Benjamin"'
We develop a complete stability theory for two-dimensional periodic traveling waves of reaction-diffusion systems. More precisely, we identify a diffusive spectral stability assumption, prove that it implies nonlinear stability and provide a sharp as
Externí odkaz:
http://arxiv.org/abs/2408.14869
Autor:
Melinand, Benjamin
We perform the so-called rigid lid limit on different shallow water models such as the abcd Bousssinesq systems or the Green-Naghdi equations. To do so we consider an appropriate nondimensionalization of these models where two small parameters are in
Externí odkaz:
http://arxiv.org/abs/2312.09605
Autor:
Melinand, Benjamin
We study linear dispersive equations in dimension one and two for a class of radial nonhomogeneous phases. L 1 $\rightarrow$ L $\infty$ type estimates, Strichartz estimates, local Kato smoothing and Morawetz type estimates are provided. We then apply
Externí odkaz:
http://arxiv.org/abs/2304.05677
Autor:
Duchêne, Vincent, Melinand, Benjamin
Publikováno v:
Pure Appl. Analysis 6 (2024) 73-128
In this work we discuss an approximate model for the propagation of deep irrotational water waves, specifically the model obtained by keeping only quadratic nonlinearities in the water waves system under the Zakharov/Craig-Sulem formulation. We argue
Externí odkaz:
http://arxiv.org/abs/2203.03277
Autor:
Melinand, Benjamin, Zumbrun, Kevin
We study the inflow-outflow boundary value problem on an interval, the analog of the 1D shock tube problem for gas dynamics, for general systems of hyperbolic-parabolic conservation laws. In a first set of investigations, we study existence, uniquene
Externí odkaz:
http://arxiv.org/abs/2112.03995
Autor:
Melinand, Benjamin
Publikováno v:
In Journal of Functional Analysis 1 January 2024 286(1)
We treat the 1D shock tube problem, establishing existence of steady solutions of full (nonisentropic) polytropic gas dynamics with arbitrary noncharacteristic data. We present also numerical experiments indicating uniqueness and time-asymptotic stab
Externí odkaz:
http://arxiv.org/abs/1911.06691
Autor:
Melinand, Benjamin
Dans ce travail nous nous intéressons aux comportement de vagues soumises à l’action d’une pression atmosphérique non constante, un fond mobile et la force de Coriolis. Une première partie est dédiée à l’étude de la résonance de Proudm
Externí odkaz:
http://www.theses.fr/2016BORD0082/document
Autor:
Melinand, Benjamin, Zumbrun, Kevin
We study existence and stability of steady solutions of the isentropic compressible Navier-Stokes equations on a finite interval with non characteristic boundary conditions, for general not necessarily small-amplitude data. We show that there exists
Externí odkaz:
http://arxiv.org/abs/1710.10674
Autor:
Melinand, Benjamin
In this paper, we study the asymptotic behavior of weakly transverse water-waves under a weak Coriolis forcing in the long wave regime. We derive the Boussinesq-Coriolis equations in this setting and we provide a rigorous justification of this model.
Externí odkaz:
http://arxiv.org/abs/1710.09717