Global well-posedness of the Navier-Stokes equations for small initial data in frequency localized Koch-Tataru's space
arXiv:2503.11642Alexey Cheskidov, Taichi Eguchi
Global dissipative solutions of the 3D Naiver-Stokes and MHD equations
arXiv:2503.05692Alexey Cheskidov, Zirong Zeng, Deng Zhang
Existence and non-uniqueness of weak solutions with continuous energy to the 3D deterministic and stochastic Navier-Stokes equations
arXiv:2407.17463Alexey Cheskidov, Zirong Zeng, Deng Zhang
An optimal upper bound on the the determining wavenumber for 3D Navier-Stokes Equations
arXiv:2407.06474Alexey Cheskidov, Qirui Peng
Dissipation anomaly and anomalous dissipation in incompressible fluid flows
arxiv:2311.04182Alexey Cheskidov