Bernoulli jets and the zero mean curvature equation

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider an elliptic PDE problem related with fluid mechanics. We show that level sets of rescaled solutions satisfy the zero mean curvature equation in a suitable weak viscosity sense. In particular, such level sets cannot be touched from below (above) by a convex (concave) paraboloid in a suitably small neighborhood.

Original languageEnglish
Pages (from-to)710-736
Number of pages27
JournalJournal of Differential Equations
Volume225
Issue number2
DOIs
Publication statusPublished - 15 Jun 2006
Externally publishedYes

Fingerprint

Fluid mechanics
Mean Curvature
Bernoulli
Level Set
Viscosity
Elliptic PDE
Fluid Mechanics
Zero

Cite this

@article{1c2b3d5a04a845e1bf4e6cff5fe2d33b,
title = "Bernoulli jets and the zero mean curvature equation",
abstract = "We consider an elliptic PDE problem related with fluid mechanics. We show that level sets of rescaled solutions satisfy the zero mean curvature equation in a suitable weak viscosity sense. In particular, such level sets cannot be touched from below (above) by a convex (concave) paraboloid in a suitably small neighborhood.",
keywords = "Geometric and qualitative properties of solutions, p-Laplacian operator, Sliding methods, Variational and PDE models for fluid dynamics",
author = "Enrico Valdinoci",
year = "2006",
month = "6",
day = "15",
doi = "10.1016/j.jde.2005.08.017",
language = "English",
volume = "225",
pages = "710--736",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Academic Press",
number = "2",

}

Bernoulli jets and the zero mean curvature equation. / Valdinoci, Enrico.

In: Journal of Differential Equations, Vol. 225, No. 2, 15.06.2006, p. 710-736.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Bernoulli jets and the zero mean curvature equation

AU - Valdinoci, Enrico

PY - 2006/6/15

Y1 - 2006/6/15

N2 - We consider an elliptic PDE problem related with fluid mechanics. We show that level sets of rescaled solutions satisfy the zero mean curvature equation in a suitable weak viscosity sense. In particular, such level sets cannot be touched from below (above) by a convex (concave) paraboloid in a suitably small neighborhood.

AB - We consider an elliptic PDE problem related with fluid mechanics. We show that level sets of rescaled solutions satisfy the zero mean curvature equation in a suitable weak viscosity sense. In particular, such level sets cannot be touched from below (above) by a convex (concave) paraboloid in a suitably small neighborhood.

KW - Geometric and qualitative properties of solutions

KW - p-Laplacian operator

KW - Sliding methods

KW - Variational and PDE models for fluid dynamics

UR - http://www.scopus.com/inward/record.url?scp=33646341997&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2005.08.017

DO - 10.1016/j.jde.2005.08.017

M3 - Article

VL - 225

SP - 710

EP - 736

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 2

ER -