Loading [MathJax]/jax/output/HTML-CSS/config.js
full
search.png

Search

close.png

Cancel

arrow
Volume 38, Issue 1
Incompressible Limit of Nonisentropic Ideal Magnetohydrodynamic Flows with General Initial Data

Fanrui Meng & Jiawei Wang

DOI: 10.4208/jpde.v38.n1.6

J. Part. Diff. Eq., 38 (2025), pp. 100-113.

Published online: 2025-04

Preview Full PDF 59 848

Cited by

google scholar semantic scholar
Export citation
  • Abstract

The incompressible limit of nonisentropic ideal magnetohydrodynamic equations with general initial data in the whole space $\mathbb{R}^3$ is proved in this paper. The uniform estimates of solutions with respect to the Mach number are obtained by using energy estimate. Strong convergence results of the smooth solutions are established by using Strichartz’s estimates in the whole space.

  • Keywords

Incompressible limit, general initial data, nonisentropic MHD equations.

  • AMS Subject Headings

76W05, 35B40, 76M45

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JPDE-38-100, author = {Meng , Fanrui and Wang , Jiawei}, title = {Incompressible Limit of Nonisentropic Ideal Magnetohydrodynamic Flows with General Initial Data}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {1}, pages = {100--113}, abstract = {

The incompressible limit of nonisentropic ideal magnetohydrodynamic equations with general initial data in the whole space $\mathbb{R}^3$ is proved in this paper. The uniform estimates of solutions with respect to the Mach number are obtained by using energy estimate. Strong convergence results of the smooth solutions are established by using Strichartz’s estimates in the whole space.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n1.6}, url = {http://global-sci.org/intro/article_detail/jpde/23954.html} }
TY - JOUR T1 - Incompressible Limit of Nonisentropic Ideal Magnetohydrodynamic Flows with General Initial Data AU - Meng , Fanrui AU - Wang , Jiawei JO - Journal of Partial Differential Equations VL - 1 SP - 100 EP - 113 PY - 2025 DA - 2025/04 SN - 38 DO - http://doi.org/10.4208/jpde.v38.n1.6 UR - https://global-sci.org/intro/article_detail/jpde/23954.html KW - Incompressible limit, general initial data, nonisentropic MHD equations. AB -

The incompressible limit of nonisentropic ideal magnetohydrodynamic equations with general initial data in the whole space $\mathbb{R}^3$ is proved in this paper. The uniform estimates of solutions with respect to the Mach number are obtained by using energy estimate. Strong convergence results of the smooth solutions are established by using Strichartz’s estimates in the whole space.

Meng , Fanrui and Wang , Jiawei. (2025). Incompressible Limit of Nonisentropic Ideal Magnetohydrodynamic Flows with General Initial Data. Journal of Partial Differential Equations. 38 (1). 100-113. doi:10.4208/jpde.v38.n1.6
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard