Communications on Applied Mathematics and Computation ›› 2025, Vol. 7 ›› Issue (4): 1282-1307.doi: 10.1007/s42967-023-00305-6

• ORIGINAL PAPERS • Previous Articles     Next Articles

Reflected Stochastic Burgers Equation with Jumps

Hongchao Qian1, Jun Peng1, Ruizhi Li2, Yewei Gui2   

  1. 1. School of Mathematics and Statistics, Central South University, Changsha, 410075, Hunan, China;
    2. State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, Mianyang, 621000, Sichuan, China
  • Received:2023-03-14 Revised:2023-08-04 Accepted:2023-08-09 Online:2023-10-18 Published:2023-10-18

Abstract: This paper is concerned with the reflected stochastic Burgers equation driven both by the Brownian motion and by the Poisson random measure. The existence and uniqueness of solutions are established. The penalization method plays an important role.

Key words: Stochastic Burgers equation, Reflection, Penalization, Jumps

CLC Number: