Interface dynamics in hele-shaw flows with centrifugal forces : preventing cusp singularities with rotation

A class of exact solutions of Hele-Shaw flows without surface tension in a rotating cell is reported. We show that the interplay between injection and rotation modifies the scenario of formation of finite-time cusp singularities. For a subclass of solutions, we show that, for any given initial condi...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. - 1993. - 62(2000), 5 Pt A vom: 01. Nov., Seite R5887-90
1. Verfasser: Magdaleno (VerfasserIn)
Weitere Verfasser: Rocco, Casademunt
Format: Aufsatz
Sprache:English
Veröffentlicht: 2000
Zugriff auf das übergeordnete Werk:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Schlagworte:Journal Article
LEADER 01000caa a22002652 4500
001 NLM110172566
003 DE-627
005 20250202091614.0
007 tu
008 231222s2000 xx ||||| 00| ||eng c
028 5 2 |a pubmed25n0368.xml 
035 |a (DE-627)NLM110172566 
035 |a (NLM)11102007 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a Magdaleno  |e verfasserin  |4 aut 
245 1 0 |a Interface dynamics in hele-shaw flows with centrifugal forces  |b preventing cusp singularities with rotation 
264 1 |c 2000 
336 |a Text  |b txt  |2 rdacontent 
337 |a ohne Hilfsmittel zu benutzen  |b n  |2 rdamedia 
338 |a Band  |b nc  |2 rdacarrier 
500 |a Date Revised 20.11.2019 
500 |a published: Print 
500 |a Citation Status PubMed-not-MEDLINE 
520 |a A class of exact solutions of Hele-Shaw flows without surface tension in a rotating cell is reported. We show that the interplay between injection and rotation modifies the scenario of formation of finite-time cusp singularities. For a subclass of solutions, we show that, for any given initial condition, there exists a critical rotation rate above which cusp formation is suppressed. We also find an exact sufficient condition to avoid cusps simultaneously for all initial conditions within the above subclass 
650 4 |a Journal Article 
700 1 |a Rocco  |e verfasserin  |4 aut 
700 1 |a Casademunt  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  |d 1993  |g 62(2000), 5 Pt A vom: 01. Nov., Seite R5887-90  |w (DE-627)NLM098226002  |x 1063-651X  |7 nnns 
773 1 8 |g volume:62  |g year:2000  |g number:5 Pt A  |g day:01  |g month:11  |g pages:R5887-90 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 62  |j 2000  |e 5 Pt A  |b 01  |c 11  |h R5887-90