On the small time asymptotics of scalar stochastic conservation laws

Abstract

In this paper, we established a small time large deviation principles for scalar stochastic conservation laws driven by multiplicative noise. The doubling variables method plays a key role.

Keywords:

• Small time asymptotic
• large deviations
• scalar stochastic conservation laws

AMS Subject Classifications:

• 60F10
• 60H15
• 60G40

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work is partly supported by BJNSF (No.1212008), NNSF (Nos. 11931004, 11801032, 11971227, 12171032), Key Laboratory of Random Complex Structures and Data Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences (No. 2008DP173182), Beijing Institute of Technology Research Fund Program for Young Scholars and Key Laboratory of Mathematical Theory and Computation in Information Security.