Nonlinear Acoustics: Blackstock–Crighton Equations with a Periodic Forcing Term-Reference-Cited by-同舟云学术

Nonlinear Acoustics: Blackstock–Crighton Equations with a Periodic Forcing Term

Published:2019-07-26 Issue:3 Volume:21 Page:
ISSN:1422-6928
Container-title:Journal of Mathematical Fluid Mechanics
language:en
Short-container-title:J. Math. Fluid Mech.

Author:

Celik Aday,Kyed Mads^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Link

http://link.springer.com/content/pdf/10.1007/s00021-019-0451-4.pdf

Reference16 articles.

1. Beyer, R.T.: Parameter of nonlinearity in fluids. J. Acoust. Soc. Am. 32, 719–721 (1960)

2. Blackstock, D.T.: Approximate equations governing finite-amplitude sound in thermoviscous fluids. GD/E report GD-1463-52, General Dynamics Corporation (1963)

3. Brunnhuber, R.: Well-posedness and exponential decay of solutions for the Blackstock–Crighton–Kuznetsov equation. J. Math. Anal. Appl. 433(2), 1037–1054 (2016). https://doi.org/10.1016/j.jmaa.2015.07.046

4. Brunnhuber, R., Kaltenbacher, B.: Well-posedness and asymptotic behavior of solutions for the Blackstock–Crighton–Westervelt equation. Discrete Contin. Dyn. Syst. 34(11), 4515–4535 (2014). https://doi.org/10.3934/dcds.2014.34.4515

5. Brunnhuber, R., Meyer, S.: Optimal regularity and exponential stability for the Blackstock–Crighton equation in $$L_p$$-spaces with Dirichlet and Neumann boundary conditions. J. Evol. Equ. 16(4), 945–981 (2016). https://doi.org/10.1007/s00028-016-0326-6

Cited by 4 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. Periodic solutions for the Blackstock–Crighton–Westervelt equation;Nonlinear Analysis;2023-07

2. Large-Time Asymptotic Behaviors for Linear Blackstock’s Model of Thermoviscous Flow;Applied Mathematics & Optimization;2023-04-25

3. Periodic solutions and multiharmonic expansions for the Westervelt equation;Evolution Equations & Control Theory;2021

4. Well-posedness for the abstract Blackstock–Crighton–Westervelt equation;Journal of Evolution Equations;2020-05-11