On well-posedness for a free boundary fluid-structure model

Mihaela Ignatova; Igor Kukavica; Irena Lasiecka; Amjad Tuffaha

doi:10.1063/1.4766724

On well-posedness for a free boundary fluid-structure model

Mihaela Ignatova
, Igor Kukavica
, Irena Lasiecka
, Amjad Tuffaha

Mathematics

Research output: Contribution to journal › Article › peer-review

49 Scopus citations

Abstract

We address a fluid-structure interaction model describing the motion of an elastic body immersed in an incompressible fluid. We establish a prioriestimates for the local existence of solutions for a class of initial data which also guarantees uniqueness.

Original language	English (US)
Article number	115624
Journal	Journal of Mathematical Physics
Volume	53
Issue number	11
DOIs	https://doi.org/10.1063/1.4766724
State	Published - Nov 27 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.4766724

Cite this

@article{b2fe585f068c4e9aaa66e6df1d6ac967,

title = "On well-posedness for a free boundary fluid-structure model",

abstract = "We address a fluid-structure interaction model describing the motion of an elastic body immersed in an incompressible fluid. We establish a prioriestimates for the local existence of solutions for a class of initial data which also guarantees uniqueness.",

author = "Mihaela Ignatova and Igor Kukavica and Irena Lasiecka and Amjad Tuffaha",

note = "Funding Information: M.I. was supported in part by the NSF FRC, grant DMS-11589. I.K. was supported in part by the National Science Foundation (NSF) Grant No. DMS-1009769, I.L. was supported in part by the NSF Grant No. DMS-0606682 and the (U.S.) Air Force Office of Scientific Research (USAFOSR) under Grant No. FA 9550-09-1-0459, and A.T. was supported in part by the Petroleum Institute Research Grant Ref. No. 11014. I.K. thanks the Department of Mathematics at the California Institute of Technology for its hospitality during his stay in Spring 2012.",

year = "2012",

month = nov,

day = "27",

doi = "10.1063/1.4766724",

language = "English (US)",

volume = "53",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "11",

}

TY - JOUR

T1 - On well-posedness for a free boundary fluid-structure model

AU - Ignatova, Mihaela

AU - Kukavica, Igor

AU - Lasiecka, Irena

AU - Tuffaha, Amjad

N1 - Funding Information: M.I. was supported in part by the NSF FRC, grant DMS-11589. I.K. was supported in part by the National Science Foundation (NSF) Grant No. DMS-1009769, I.L. was supported in part by the NSF Grant No. DMS-0606682 and the (U.S.) Air Force Office of Scientific Research (USAFOSR) under Grant No. FA 9550-09-1-0459, and A.T. was supported in part by the Petroleum Institute Research Grant Ref. No. 11014. I.K. thanks the Department of Mathematics at the California Institute of Technology for its hospitality during his stay in Spring 2012.

PY - 2012/11/27

Y1 - 2012/11/27

N2 - We address a fluid-structure interaction model describing the motion of an elastic body immersed in an incompressible fluid. We establish a prioriestimates for the local existence of solutions for a class of initial data which also guarantees uniqueness.

AB - We address a fluid-structure interaction model describing the motion of an elastic body immersed in an incompressible fluid. We establish a prioriestimates for the local existence of solutions for a class of initial data which also guarantees uniqueness.

UR - https://www.scopus.com/pages/publications/84870494651

UR - https://www.scopus.com/pages/publications/84870494651#tab=citedBy

U2 - 10.1063/1.4766724

DO - 10.1063/1.4766724

M3 - Article

AN - SCOPUS:84870494651

SN - 0022-2488

VL - 53

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 11

M1 - 115624

ER -

On well-posedness for a free boundary fluid-structure model

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this