Effect of random noises on pathwise solutions to the high-dimensional modified Euler-Poincaré system
DOI10.1016/j.jde.2024.05.010zbMath1542.35303MaRDI QIDQ6559412
Publication date: 21 June 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
local and global solutionsblow-up criteriastochastic perturbationhigh-dimensional modified Euler-Poincaré system
Smoothness and regularity of solutions to PDEs (35B65) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Applications of Lie (super)algebras to physics, etc. (17B81) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
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