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The Cauchy Problem for a Special System of Quasilinear Equations
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@Article{JPDE-4-33,
author = {Hu Jiaxin, Wang Jinghua},
title = {The Cauchy Problem for a Special System of Quasilinear Equations},
journal = {Journal of Partial Differential Equations},
year = {1991},
volume = {4},
number = {1},
pages = {33--44},
abstract = { We have obtained in this paper the existence of weak solutions to the Cauchy problem for a special system of quasillnear equations with physical interest of the form {\frac{∂}{∂t}(u + qz) + \frac{∂}{∂x}f(u) = 0 \frac{∂z}{∂t} + kφ(u)z = 0 for the assumed smooth function φ(u) by employing the viscosity method and the theory of compensated compactness.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5759.html}
}
TY - JOUR
T1 - The Cauchy Problem for a Special System of Quasilinear Equations
AU - Hu Jiaxin, Wang Jinghua
JO - Journal of Partial Differential Equations
VL - 1
SP - 33
EP - 44
PY - 1991
DA - 1991/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5759.html
KW - Entropy pair
KW - weak solution
AB - We have obtained in this paper the existence of weak solutions to the Cauchy problem for a special system of quasillnear equations with physical interest of the form {\frac{∂}{∂t}(u + qz) + \frac{∂}{∂x}f(u) = 0 \frac{∂z}{∂t} + kφ(u)z = 0 for the assumed smooth function φ(u) by employing the viscosity method and the theory of compensated compactness.
Hu Jiaxin, Wang Jinghua. (1970). The Cauchy Problem for a Special System of Quasilinear Equations.
Journal of Partial Differential Equations. 4 (1).
33-44.
doi:
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