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Volume 7, Issue 4
Globally Smooth Solutions to an Inhomogeneous Quasilinear Hyperbolic System Arising in Chemical Engineering

Hu Jiaxin, Zhao Huijiang & Zhu Changjiang

J. Part. Diff. Eq.,7(1994),pp.351-358

Published online: 1994-07

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  • Abstract
In this paper we have obtained the existence of globally smooth solutions to an inhomogeneous nonstrictly hyperbolic system u_t - (v(1 - u))_x = 0, v_t + (\frac{1}{2}v² - c_0u)_x = f(u,v) by employing the characteristic method and the fixedpoint theorem in Banach spaces.
  • Keywords

Nonstrictly hyperbolic system characteristic curve fixed point theorem

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@Article{JPDE-7-351, author = {Hu Jiaxin, Zhao Huijiang and Zhu Changjiang}, title = {Globally Smooth Solutions to an Inhomogeneous Quasilinear Hyperbolic System Arising in Chemical Engineering}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {4}, pages = {351--358}, abstract = { In this paper we have obtained the existence of globally smooth solutions to an inhomogeneous nonstrictly hyperbolic system u_t - (v(1 - u))_x = 0, v_t + (\frac{1}{2}v² - c_0u)_x = f(u,v) by employing the characteristic method and the fixedpoint theorem in Banach spaces.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5693.html} }
TY - JOUR T1 - Globally Smooth Solutions to an Inhomogeneous Quasilinear Hyperbolic System Arising in Chemical Engineering AU - Hu Jiaxin, Zhao Huijiang & Zhu Changjiang JO - Journal of Partial Differential Equations VL - 4 SP - 351 EP - 358 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5693.html KW - Nonstrictly hyperbolic system KW - characteristic curve KW - fixed point theorem AB - In this paper we have obtained the existence of globally smooth solutions to an inhomogeneous nonstrictly hyperbolic system u_t - (v(1 - u))_x = 0, v_t + (\frac{1}{2}v² - c_0u)_x = f(u,v) by employing the characteristic method and the fixedpoint theorem in Banach spaces.
Hu Jiaxin, Zhao Huijiang and Zhu Changjiang. (1994). Globally Smooth Solutions to an Inhomogeneous Quasilinear Hyperbolic System Arising in Chemical Engineering. Journal of Partial Differential Equations. 7 (4). 351-358. doi:
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