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Some Entropy Inequalities for a Quasilinear Degenerate Hyperbolic Equation
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@Article{JPDE-18-289,
author = {},
title = {Some Entropy Inequalities for a Quasilinear Degenerate Hyperbolic Equation},
journal = {Journal of Partial Differential Equations},
year = {2005},
volume = {18},
number = {4},
pages = {289--303},
abstract = {
The aim of this paper is to discuss some degenerate hyperbolic equation u_t + φ(u)_x = 0, where φ ∈ C¹(R \ {0}) ∩ C²(R \ {0}) is a nondecreasing function in R, where R = (-∞, +∞). Some entropy inequalities are obtained and can be applied to study the existence of local BV solutions of the above equation with local finite measures as initial conditions.
}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5364.html} }
TY - JOUR
T1 - Some Entropy Inequalities for a Quasilinear Degenerate Hyperbolic Equation
JO - Journal of Partial Differential Equations
VL - 4
SP - 289
EP - 303
PY - 2005
DA - 2005/11
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5364.html
KW - Quasilinear hyperbolic equations
KW - entropy inequality
AB -
The aim of this paper is to discuss some degenerate hyperbolic equation u_t + φ(u)_x = 0, where φ ∈ C¹(R \ {0}) ∩ C²(R \ {0}) is a nondecreasing function in R, where R = (-∞, +∞). Some entropy inequalities are obtained and can be applied to study the existence of local BV solutions of the above equation with local finite measures as initial conditions.
Hongjun Yuan & Xiaojing Xu . (2019). Some Entropy Inequalities for a Quasilinear Degenerate Hyperbolic Equation.
Journal of Partial Differential Equations. 18 (4).
289-303.
doi:
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