Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Walsh, Samuel"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 9-10, Pp 1073-1083 (2021)
In this announcement, we report results on the existence of families of large-amplitude internal hydrodynamic bores. These are traveling front solutions of the full two-phase incompressible Euler equation in two dimensions. The fluids are bounded abo
Externí odkaz:
https://doaj.org/article/0bc1174d70c447f1a210f1a30563d21e
In this paper, we study two-dimensional traveling waves in finite-depth water that are acted upon solely by gravity. We prove that, for any supercritical Froude number (non-dimensionalized wave speed), there exists a continuous one-parameter family $
Externí odkaz:
http://arxiv.org/abs/2404.08074
A hollow vortex is a region of constant pressure bounded by a vortex sheet and suspended inside a perfect fluid; it can therefore be interpreted as a spinning bubble of air in water. This paper gives a general method for desingularizing non-degenerat
Externí odkaz:
http://arxiv.org/abs/2303.03570
This paper studies the structural implications of constant vorticity for steady three-dimensional internal water waves. It is known that in many physical regimes, water waves beneath vacuum that have constant vorticity are necessarily two dimensional
Externí odkaz:
http://arxiv.org/abs/2208.06477
Autor:
Haziot, Susanna V., Hur, Vera Mikyoung, Strauss, Walter, Toland, J. F., Wahlén, Erik, Walsh, Samuel, Wheeler, Miles H.
This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characterizations of traveling water waves; analytical and numerical studies o
Externí odkaz:
http://arxiv.org/abs/2109.09208
Autor:
Chen, Robin Ming, Walsh, Samuel
This paper studies the nonlinear stability of capillary-gravity waves propagating along the interface dividing two immiscible fluid layers of finite depth. The motion in both regions is governed by the incompressible and irrotational Euler equations,
Externí odkaz:
http://arxiv.org/abs/2102.13590
We consider anti-plane shear deformations of an incompressible elastic solid whose reference configuration is an infinite cylinder with a cross section that is unbounded in one direction. For a class of generalized neo-Hookean strain energy densities
Externí odkaz:
http://arxiv.org/abs/2008.09453
In this announcement, we report results on the existence of families of large-amplitude internal hydrodynamic bores. These are traveling front solutions of the full two-phase incompressible Euler equation in two dimensions. The fluids are bounded abo
Externí odkaz:
http://arxiv.org/abs/2007.16055
In this paper, we present two results on global continuation of monotone front-type solutions to elliptic PDEs posed on infinite cylinders. This is done under quite general assumptions, and in particular applies even to fully nonlinear equations as w
Externí odkaz:
http://arxiv.org/abs/2005.00651
We study stationary capillary-gravity waves in a two-dimensional body of water that rests above a flat ocean bed and below vacuum. This system is described by the Euler equations with a free surface. Our main result states that there exist large fami
Externí odkaz:
http://arxiv.org/abs/1907.07335