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Lack of BV bounds for approximate solutions to the p -system with large data

  • Published:2014-04 Issue:8 Volume:256 Page:3067-3085
  • ISSN:0022-0396
  • Container-title:Journal of Differential Equations
  • language:en
  • Short-container-title:Journal of Differential Equations

Author:

Bressan Alberto,Chen Geng,Zhang QingtianORCID

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference19 articles.

1. Blowup in L∞ for a class of genuinely nonlinear hyperbolic systems of conservation laws;Baiti;Discrete Contin. Dyn. Syst.,2001

2. Hyperbolic Systems of Conservation Laws. The One Dimensional Cauchy Problem;Bressan,2000

3. Unique solutions of 2×2 conservation laws with large data;Bressan;Indiana Univ. Math. J.,1995

4. Decay of positive waves in nonlinear systems of conservation laws;Bressan;Ann. Sc. Norm. Super. Pisa Ci. Sci. (4),1998

5. L1 stability estimates for n×n conservation laws;Bressan;Arch. Ration. Mech. Anal.,1999

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Variation Instability Near Vacuum in One-Dimensional Isentropic Flow;International Mathematics Research Notices;2022-09-13

2. Lack of BV bounds for approximate solutions to a two‐phase transition model arising from vehicular traffic;Mathematical Methods in the Applied Sciences;2020-02-21

3. A polygonal scheme and the lower bound on density for the isentropic gas dynamics;Discrete & Continuous Dynamical Systems - A;2019

4. On finite time BV blow-up for the p-system;Communications in Partial Differential Equations;2018-08-03

5. Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations;Indiana University Mathematics Journal;2017
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