Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems

Boiti, Chiara, and Manfrin, Renato. "Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems." Serdica Mathematical Journal 27.1 (2001): 67-90. <http://eudml.org/doc/11525>.

@article{Boiti2001,
abstract = {We present some results on the formation of singularities for C^1 - solutions of the quasi-linear N × N strictly hyperbolic system Ut + A(U )Ux = 0 in [0, +∞) × Rx . Under certain weak non-linearity conditions (weaker than genuine non-linearity), we prove that the first order derivative of the solution blows-up in finite time.},
author = {Boiti, Chiara, Manfrin, Renato},
journal = {Serdica Mathematical Journal},
keywords = {Blow-up; Hyperbolic Systems; blow-up},
language = {eng},
number = {1},
pages = {67-90},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems},
url = {http://eudml.org/doc/11525},
volume = {27},
year = {2001},
}

TY - JOUR
AU - Boiti, Chiara
AU - Manfrin, Renato
TI - Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems
JO - Serdica Mathematical Journal
PY - 2001
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 27
IS - 1
SP - 67
EP - 90
AB - We present some results on the formation of singularities for C^1 - solutions of the quasi-linear N × N strictly hyperbolic system Ut + A(U )Ux = 0 in [0, +∞) × Rx . Under certain weak non-linearity conditions (weaker than genuine non-linearity), we prove that the first order derivative of the solution blows-up in finite time.
LA - eng
KW - Blow-up; Hyperbolic Systems; blow-up
UR - http://eudml.org/doc/11525
ER -