Article Contents
Article Contents

# On the blow-up for a discrete Boltzmann equation in the plane

• We study the possibility of finite-time blow-up for a two dimensional Broadwell model. In a set of rescaled variables, we prove that no self-similar blow-up solution exists, and derive some a priori bounds on the blow-up rate. In the final section, a possible blow-up scenario is discussed.
Mathematics Subject Classification: Primary: 35Q20, 76P05, 82A40, 35B40.

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