Suxin Wang, Zhehui Zhang, "Stochastic Burgers Type Heat Equation with Oblique Reflection," WSEAS Transactions on Mathematics, vol. 24, pp. 454-461, 2025, DOI:10.37394/23206.2025.24.44
Suxin Wang, Zhehui Zhang. Stochastic Burgers Type Heat Equation with Oblique Reflection.
WSEAS Transactions on Mathematics. 2025;24:454-461. 10.37394/23206.2025.24.44
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 24, 2025
Stochastic Burgers Type Heat Equation with Oblique Reflection
Authors: ,
Abstract: The main goal of this paper is to prove that there are solutions to stochastic Burgers type equations that
have an oblique reflection direction. For penalized systems of stochastic partial differential equations (SPDEs),
we use approximations. The method makes use of approximations of SPDE penalized systems. We establish the
existence of solutions for stochastic Burgers type heat equations with oblique reflection by using a priori estimates
for the solutions of the penalized systems of SPDEs.
Keywords:
Stochastic Burgers type equations, Oblique reflection, Stochastic partial differential equations with
reflection
Pages: 454-461 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 24, 2025, Art. #44 DOI: 10.37394/23206.2025.24.44
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