Long time interface dynamics for gravity Stokes flow
F Gancedo, R Granero-Belinchón… - arXiv preprint arXiv …, 2022 - arxiv.org
We study the dynamics of the interface given by two incompressible viscous fluids in the
Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravity …
Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravity …
Well-posedness and long-time behaviour of the Stokes-transport equation
A Leblond - 2023 - theses.hal.science
The Stokes-transport equation models an incompressible, viscous and inhomogeneous
fluid, subject to gravity. It is a reduced model for oceanography and sedimentation. The …
fluid, subject to gravity. It is a reduced model for oceanography and sedimentation. The …
On the global well-posedness of interface dynamics for gravity Stokes flow
F Gancedo, R Granero-Belinchón… - arXiv preprint arXiv …, 2024 - arxiv.org
In this paper we establish the global-in-time well-posedness for an arbitrary $
C^{1+\gamma} $, $0<\gamma< 1$, initial internal wave for the free boundary gravity Stokes …
C^{1+\gamma} $, $0<\gamma< 1$, initial internal wave for the free boundary gravity Stokes …
Two-phase Stokes flow by capillarity in the plane: The case of different viscosities
We study the two-phase Stokes flow driven by surface tension for two fluids of different
viscosities, separated by an asymptotically flat interface representable as graph of a …
viscosities, separated by an asymptotically flat interface representable as graph of a …
Stability of the Stokes immersed boundary problem with bending and stretching energy
H Li - Journal of Functional Analysis, 2021 - Elsevier
We study the motion of a 1-D closed elastic string with bending and stretching energy
immersed in a 2-D Stokes flow. In this paper we introduce the curve's tangent angle function …
immersed in a 2-D Stokes flow. In this paper we introduce the curve's tangent angle function …
Capillarity-driven Stokes flow: the one-phase problem as small viscosity limit
We consider the quasistationary Stokes flow that describes the motion of a two-dimensional
fluid body under the influence of surface tension effects in an unbounded, infinite-bottom …
fluid body under the influence of surface tension effects in an unbounded, infinite-bottom …
A new reformulation of the Muskat problem with surface tension
Two formulas that connect the derivatives of the double layer potential and of a related
singular integral operator evaluated at some density ϑ to the L 2-adjoints of these operators …
singular integral operator evaluated at some density ϑ to the L 2-adjoints of these operators …
The multiphase Muskat problem with equal viscosities in two dimensions
J Bierler, BV Matioc - Interfaces and Free Boundaries, 2021 - ems.press
The multiphase Muskat problem with equal viscosities in two dimensions Page 1 Interfaces
Free Bound. 24 (2022), 163–196 DOI 10.4171/IFB/469 © 2021 European Mathematical …
Free Bound. 24 (2022), 163–196 DOI 10.4171/IFB/469 © 2021 European Mathematical …
The Mullins–Sekerka problem via the method of potentials
It is shown that the two‐dimensional Mullins–Sekerka problem is well‐posed in all
subcritical Sobolev spaces H r (R) H^r(R) with r∈(3/2, 2) r∈(3/2,2). This is the first result …
subcritical Sobolev spaces H r (R) H^r(R) with r∈(3/2, 2) r∈(3/2,2). This is the first result …
Well-posedness and stability for the two-phase periodic quasistationary Stokes flow
D Böhme, BV Matioc - arXiv preprint arXiv:2406.07181, 2024 - arxiv.org
The two-phase horizontally periodic quasistationary Stokes flow in $\mathbb {R}^ 2$,
describing the motion of two immiscible fluids with equal viscosities that are separated by a …
describing the motion of two immiscible fluids with equal viscosities that are separated by a …