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Volume 3, Issue 4
Relativistic Fluid Flows in a Bounded Domain

Hermano Frid & Benito Pires

DOI: 10.4208/cmaa.2024-0022

Commun. Math. Anal. Appl., 3 (2024), pp. 519-531.

Published online: 2024-12

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  • Abstract

We analyze a boundary value problem for the flow of a relativistic fluid confined in a bounded domain. An important point is that we base our problem on the Lagrange coordinates of the fluid which we define here, for the first time in the (1+1)-dimensional case. The Lagrange coordinates for the 1+3 relativistic flow was established in [Dias and Frid, Comm. Math. Anal. Appl. 2(3) (2023)].

  • Keywords

Relativistic flows, boundary value problem, Glimm method.

  • AMS Subject Headings

35L65, 35Q76

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMAA-3-519, author = {Frid , Hermano and Pires , Benito}, title = {Relativistic Fluid Flows in a Bounded Domain}, journal = {Communications in Mathematical Analysis and Applications}, year = {2024}, volume = {3}, number = {4}, pages = {519--531}, abstract = {

We analyze a boundary value problem for the flow of a relativistic fluid confined in a bounded domain. An important point is that we base our problem on the Lagrange coordinates of the fluid which we define here, for the first time in the (1+1)-dimensional case. The Lagrange coordinates for the 1+3 relativistic flow was established in [Dias and Frid, Comm. Math. Anal. Appl. 2(3) (2023)].

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0022}, url = {http://global-sci.org/intro/article_detail/cmaa/23617.html} }
TY - JOUR T1 - Relativistic Fluid Flows in a Bounded Domain AU - Frid , Hermano AU - Pires , Benito JO - Communications in Mathematical Analysis and Applications VL - 4 SP - 519 EP - 531 PY - 2024 DA - 2024/12 SN - 3 DO - http://doi.org/10.4208/cmaa.2024-0022 UR - https://global-sci.org/intro/article_detail/cmaa/23617.html KW - Relativistic flows, boundary value problem, Glimm method. AB -

We analyze a boundary value problem for the flow of a relativistic fluid confined in a bounded domain. An important point is that we base our problem on the Lagrange coordinates of the fluid which we define here, for the first time in the (1+1)-dimensional case. The Lagrange coordinates for the 1+3 relativistic flow was established in [Dias and Frid, Comm. Math. Anal. Appl. 2(3) (2023)].

Frid , Hermano and Pires , Benito. (2024). Relativistic Fluid Flows in a Bounded Domain. Communications in Mathematical Analysis and Applications. 3 (4). 519-531. doi:10.4208/cmaa.2024-0022
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