A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity
DOI10.1016/j.jfa.2023.110011zbMath1516.35418arXiv2205.13378OpenAlexW4376129380MaRDI QIDQ6098114
Martina Hofmanová, Rong-Chan Zhu, Xiang Chan Zhu
Publication date: 12 June 2023
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.13378
Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Singular perturbations in context of PDEs (35B25) Fractional derivatives and integrals (26A33) White noise theory (60H40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Geophysical flows (76U60)
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