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Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity
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@Article{JPDE-16-240,
author = {Libin Wang },
title = {Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity},
journal = {Journal of Partial Differential Equations},
year = {2003},
volume = {16},
number = {3},
pages = {240--254},
abstract = { In this paper we consider the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Without restriction on characteristics with constant multiplicity(> 1), under the assumptions that there is a genuinely nonlinear simple characteristic and the initial data possess certain decaying properties, the blow-up result is obtained for the C¹ solution to the Cauchy problem.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5422.html}
}
TY - JOUR
T1 - Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity
AU - Libin Wang
JO - Journal of Partial Differential Equations
VL - 3
SP - 240
EP - 254
PY - 2003
DA - 2003/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5422.html
KW - quasilinear hyperbolic system
KW - Cauchy problem
KW - formation of singularity
KW - life-span
AB - In this paper we consider the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Without restriction on characteristics with constant multiplicity(> 1), under the assumptions that there is a genuinely nonlinear simple characteristic and the initial data possess certain decaying properties, the blow-up result is obtained for the C¹ solution to the Cauchy problem.
Libin Wang . (2003). Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity.
Journal of Partial Differential Equations. 16 (3).
240-254.
doi:
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