Inviscid water-waves and interface modeling
We present a rigorous mathematical analysis of the modeling of inviscid water waves. The
free-surface is described as a parameterized curve. We present a numerically stable …
free-surface is described as a parameterized curve. We present a numerically stable …
Degenerate lake equations: classical solutions and vanishing viscosity limit
The objective of this paper is twofold. First, we show the existence of global classical
solutions to the degenerate inviscid lake equations. This result is achieved after revising the …
solutions to the degenerate inviscid lake equations. This result is achieved after revising the …
Free surface in two-dimensional potential flow: singularities, invariants and virtual fluid
AI Dyachenko, SA Dyachenko… - Journal of Fluid …, 2022 - cambridge.org
We study a two-dimensional (2-D) potential flow of an ideal fluid with a free surface with
decaying conditions at infinity. By using the conformal variables approach, we study a …
decaying conditions at infinity. By using the conformal variables approach, we study a …
Grid-free weighted particle method applied to the Vlasov–Poisson equation
Y Le Henaff - Numerische Mathematik, 2023 - Springer
We study a grid-free particle method based on following the evolution of the characteristics
of the Vlasov–Poisson system, and we show that it converges for smooth enough initial data …
of the Vlasov–Poisson system, and we show that it converges for smooth enough initial data …
A homogenized limit for the 2-dimensional Euler equations in a perforated domain
M Hillairet, C Lacave, D Wu - Analysis & PDE, 2022 - msp.org
A homogenized limit for the 2-dimensional Euler equations in a perforated domain Page 1
ANALYSIS & PDE msp Volume 15 No. 5 2022 MATTHIEU HILLAIRET, CHRISTOPHE LACAVE …
ANALYSIS & PDE msp Volume 15 No. 5 2022 MATTHIEU HILLAIRET, CHRISTOPHE LACAVE …
Collisions de points-vortex et confinement dans les domaines bornés
M Donati - 2022 - theses.hal.science
Dans cette thèse nous étudions les équations d'Euler 2D incompressibles dans le cas
particulier d'un tourbillon très concentré autour de N points. Nous nous intéressons au …
particulier d'un tourbillon très concentré autour de N points. Nous nous intéressons au …
Analysis of Water Waves in the Presence of Geometry and Damping
G Moon - 2022 - search.proquest.com
The evolution of waves on the surface of a body of water (or another approximately inviscid
liquid) is governed by the free-surface Euler equations; that is, the incompressible Euler …
liquid) is governed by the free-surface Euler equations; that is, the incompressible Euler …