Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Steve Shkoller"'
Autor:
Gavin Pandya, Steve Shkoller
Publikováno v:
Journal of Fluid Mechanics. 959
We derive interface models for three-dimensional Rayleigh–Taylor instability (RTI), making use of a novel asymptotic expansion in the non-locality of the fluid flow. These interface models are derived for the purpose of studying universal features
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::117ea419e95d27c7657ba27624f80d2e
https://doi.org/10.1017/jfm.2023.98
https://doi.org/10.1017/jfm.2023.98
Publikováno v:
Communications in Mathematical Physics. 375:1003-1040
The affine motion of two-dimensional (2d) incompressible fluids surrounded by vacuum can be reduced to a completely integrable and globally solvable Hamiltonian system of ordinary differential equations for the deformation gradient in $$\mathrm{SL}(2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed09c61370cb648629d5ba4e13846e3a
https://doi.org/10.1007/s00220-020-03723-2
https://doi.org/10.1007/s00220-020-03723-2
Publikováno v:
Transactions of the American Mathematical Society. 372:2255-2286
We first prove local-in-time well-posedness for the Muskat problem, modeling fluid flow in a two-dimensional inhomogeneous porous media. The permeability of the porous medium is described by a step function, with a jump discontinuity across the fixed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53fb57615d0fdd8e80e088a09fe320c2
https://doi.org/10.1090/tran/7335
https://doi.org/10.1090/tran/7335
Autor:
Steve Shkoller, Daniel Coutand
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 36:475-503
In fluid dynamics, an interface splash singularity occurs when a locally smooth interface self-intersects in finite time. We prove that for d-dimensional flows, d = 2 or 3, the free-surface of a viscous water wave, modeled by the incompressible Navie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7d6c06c5c47a947e0962540038dd847
https://doi.org/10.1016/j.anihpc.2018.06.004
https://doi.org/10.1016/j.anihpc.2018.06.004
A fundamental question in fluid dynamics concerns the formation of discontinuous shock waves from smooth initial data. We prove that from smooth initial data, smooth solutions to the 2d Euler equations in azimuthal symmetry form a first singularity,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::780270962de7e8123cf0189a23a85ec3
http://arxiv.org/abs/2106.02143
http://arxiv.org/abs/2106.02143
Autor:
Steve Shkoller, Jesse M. Canfield, Robert Gore, M. Francois, Jon M. Reisner, Rick M. Rauenzahn, Nicholas Denissen
Publikováno v:
Journal of Fluids Engineering. 142
Sophisticated numerical models that contain fluid interfaces rely upon interface evolution models to approximate the transition to turbulence near interfaces, in the presence of Rayleigh–Taylor (RTI) or Richtmyer–Meshkov (RMI) instability. Semi-a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c66854b11663a0059fa02711f1354da4
https://doi.org/10.1115/1.4048341
https://doi.org/10.1115/1.4048341
We analyze the shock formation process for the 3d non-isentropic Euler equations with the ideal gas law, in which sounds waves interact with entropy waves to produce vorticity. Building on our theory for isentropic flows in [3,4], we give a construct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca429e827bd06962ebd88ea13a1bad4e
http://arxiv.org/abs/2006.14789
http://arxiv.org/abs/2006.14789
Publikováno v:
SIAM Journal on Mathematical Analysis. 49:4942-5006
The two-phase Stefan problem describes the temperature distribution in a homogeneous medium undergoing a phase transition such as ice melting to water. This is accomplished by solving the heat equation on a time-dependent domain, composed of two regi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e6837223c43a64efd191ba0d4840576
https://doi.org/10.1137/16m1083207
https://doi.org/10.1137/16m1083207
We consider the 3D isentropic compressible Euler equations with the ideal gas law. We provide a constructive proof of shock formation from smooth initial datum of finite energy, with no vacuum regions, with nontrivial vorticity present at the shock,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df0727ae2505bda7404cb89a38584e31
http://arxiv.org/abs/1912.04429
http://arxiv.org/abs/1912.04429
Publikováno v:
arXiv
We study the relativistic Euler equations on the Minkowski spacetime background. We make assumptions on the equation of state and the initial data that are relativistic analogs of the well-known physical vacuum boundary condition, which has played an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de2b12733ec5db8b94d4e6e88a0d1512
https://hdl.handle.net/1721.1/126672
https://hdl.handle.net/1721.1/126672