Results 41 to 50 of about 5,295 (178)
The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV ...
Abdullahi Rashid Adem +3 more
doaj +1 more source
Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
In this paper, we address an inverse problem for the Korteweg-de Vries equation posed on a bounded domain with boundary conditions proposed by Colin and Ghidaglia.
Mo Chen
doaj +1 more source
Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
wiley +1 more source
Teoria quase-linear de Kato e a KdV transicional [PDF]
Dissertação (mestrado) - Universidade Federal de Santa Catarina. Centro de Ciências Físicas e Matemáticas.Neste trabalho desenvolvemos a teoria linear e quase-linear de T.
Chavez Fuentes, Jorge Richard
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Internal Wave Characteristics in the Andaman Sea: New Insights From SWOT Observations
Abstract High‐resolution, repeat‐pass Sea Surface Height Anomaly (SSHA) observations from the Surface Water and Ocean Topography (SWOT) satellite are used to investigate Internal Solitary Waves (ISW) in the Andaman Sea over a one‐year period starting in July 2023. SWOT captured surface signatures of high‐amplitude ISW, with SSHA exceeding 20 cm.
Anup Kumar Mandal +7 more
wiley +1 more source
Lagrangian structures and multidimensional consistency [PDF]
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
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The Sylvester equation and the elliptic Korteweg-de Vries system [PDF]
The elliptic potential Korteweg-de Vries lattice system is a multi-component extension of the lattice potential Korteweg-de Vries equation, whose soliton solutions are associated with an elliptic Cauchy kernel (i.e., a Cauchy kernel on the torus).
Da-jun Zhang +5 more
core +1 more source
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
wiley +1 more source
Sobre el soporte de soluciones de la ecuación de korteweg de vries [PDF]
En este trabajo se considera la ecuación de Korteweg-de Vries (KdV): ∂∂_T u+u∂_x u=0 u = u(x; t), x ∈ R, t ∈ R y se demuestra que si u(; 0) y u(; 1) tienen soporte en un intervalo espacial [-∞;B], para cierto B 0, entonces u es idénticamente nula ...
López Cardona, Diego Alberto
core

