Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws
نویسندگان
چکیده
منابع مشابه
Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws
In this work we consider a convolution model for nonlinear conservation laws. Due to the delicate balance between the nonlinear convection and the nonlocal forcing, this model allows for narrower shock layers than those in the viscous Burgers’ equation and yet exhibits the conditional finite time breakdown as in the damped Burgers’ equation. We show the critical threshold phenomenon by presenti...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2001
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s0036141001386908