Zobrazeno 1 - 10
of 152
pro vyhledávání: '"Tice, Ian"'
Based on the global a priori estimates in [Guo-Tice, J. Eur. Math. Soc. (2024)], we establish the well-posedness of a viscous fluid model satisfying the dynamic law for the contact line \begin{equation*} \mathscr{W}(\p_t\zeta(\pm\ell,t))=[\![\gamma]\
Externí odkaz:
http://arxiv.org/abs/2407.17895
Autor:
Mukherjee, Subhasish, Tice, Ian
We introduce a scale of anisotropic Sobolev spaces defined through a three-parameter family of Fourier multipliers and study their functional analytic properties. These spaces arise naturally in PDE when studying traveling wave solutions, and we give
Externí odkaz:
http://arxiv.org/abs/2312.06044
Autor:
Koganemaru, Junichi, Tice, Ian
In this paper we study traveling wave solutions to the free boundary incompressible Navier-Stokes system with generalized Navier-slip conditions. The fluid is assumed to occupy a horizontally infinite strip-like domain that is bounded below by a flat
Externí odkaz:
http://arxiv.org/abs/2311.01590
Autor:
Stevenson, Noah, Tice, Ian
In this paper we study solitary traveling wave solutions to a damped shallow water system, which is in general quasilinear and of mixed type. We develop a small data well-posedness theory and prove that traveling wave solutions are a generic phenomen
Externí odkaz:
http://arxiv.org/abs/2311.00160
Autor:
Stevenson, Noah, Tice, Ian
We establish that solitary stationary waves in three dimensional viscous incompressible fluids are a generic phenomenon and that every such solution is a vanishing wave-speed limit along a one parameter family of traveling waves. The setting of our r
Externí odkaz:
http://arxiv.org/abs/2306.15571
Autor:
Stevenson, Noah, Tice, Ian
We prove that traveling waves in viscous compressible liquids are a generic phenomenon. The setting for our result is a horizontally infinite, finite depth layer of compressible, barotropic, viscous fluid, modeled by the free boundary compressible Na
Externí odkaz:
http://arxiv.org/abs/2301.00773
Autor:
Nguyen, Huy Q., Tice, Ian
We study the Muskat problem for one fluid in arbitrary dimension, bounded below by a flat bed and above by a free boundary given as a graph. In addition to a fixed uniform gravitational field, the fluid is acted upon by a generic force field in the b
Externí odkaz:
http://arxiv.org/abs/2211.06286
Autor:
Koganemaru, Junichi, Tice, Ian
This paper concerns the construction of traveling wave solutions to the free boundary incompressible Navier-Stokes system. We study a single layer of viscous fluid in a strip-like domain that is bounded below by a flat rigid surface and above by a mo
Externí odkaz:
http://arxiv.org/abs/2207.07702
Autor:
Stevenson, Noah, Tice, Ian
Publikováno v:
In Journal of Functional Analysis 1 December 2024 287(11)
In this paper we study the dynamics of an incompressible viscous fluid evolving in an open-top container in two dimensions. The fluid mechanics are dictated by the Navier-Stokes equations. The upper boundary of the fluid is free and evolves within th
Externí odkaz:
http://arxiv.org/abs/2010.15713