scholarly journals The total variation decreasing property of a conservative front tracking technique

1994 ◽  
Vol 20 (10-11) ◽  
pp. 89-99 ◽  
Author(s):  
C. Klingenberg ◽  
D.-K. Mao
Keyword(s):  
Total Variation ◽  
Front Tracking ◽  
Tracking Technique

scholarly journals Dendrite Growth Model Using Front Tracking Technique with New Growth Algorithm

2006 ◽  
Vol 46 (6) ◽  
pp. 909-913 ◽  
Author(s):  
Masaki Nakagawa ◽  
Yukinobu Natsume ◽  
Kenichi Ohsasa
Keyword(s):  
Growth Model ◽  
Front Tracking ◽  
Dendrite Growth ◽  
Tracking Technique ◽  
Dendrite Growth Model

An improved Front-Tracking technique for the simulation of mass transfer in dense bubbly flows

2016 ◽  
Vol 152 ◽  
pp. 351-369 ◽  
Author(s):  
I. Roghair ◽  
M. Van Sint Annaland ◽  
J.A.M. Kuipers
Keyword(s):  
Mass Transfer ◽  
Front Tracking ◽  
Bubbly Flows ◽  
Tracking Technique

scholarly journals No BV bounds for approximate solutions to p-system with general pressure law

2015 ◽  
Vol 12 (04) ◽  
pp. 799-816 ◽  
Author(s):  
Alberto Bressan ◽  
Geng Chen ◽  
Qingtian Zhang ◽  
Shengguo Zhu
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Total Variation ◽  
Weak Solutions ◽  
General Class ◽  
Approximate Solutions ◽  
Front Tracking ◽  
P System ◽  
Positive Density ◽  
Uniformly Bounded

For the [Formula: see text]-system with large BV initial data, an assumption introduced in [N. S. Bakhvalov, Ž. Vyčisl. Mat. i Mat. Fiz. (Russian) 10 (1970) 969–980] by Bakhvalov guarantees the global existence of entropy weak solutions with uniformly bounded total variation. The present paper provides a partial converse to this result. Whenever Bakhvalov’s condition does not hold, we show that there exist front tracking approximate solutions, with uniformly positive density, whose total variation becomes arbitrarily large. The construction extends the arguments in [A. Bressan, G. Chen and Q. Zhang, J. Diff. Eqs. 256(8) (2014) 3067–3085] to a general class of pressure laws.

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