The presented theory of strong coupling superconductivity in uranium compounds is based on electron–electron interaction through magnetic fluctuations described by frequency-dependent magnetic susceptibility. The magnetic field dependence of the electron effective mass is expressed through the field dependence of the magnetic susceptibility components. It is shown that the intensity of triplet pairing, and hence the critical temperature of the transition to the superconducting state, are also determined by the field-dependent susceptibility. The results are discussed in relation to the properties of ferromagnetic uranium compounds URhGe and UCoGe.

Biography
V.Mineev graduated from Moscow Institute of Physics and Technology in 1969.
He defended his PhD Thesis (1974) and Doctor of Science Degree (1983) in Landau Institute for Theoretical Physics Moscow, USSR.
During 1992-1999 V.P. Mineev was Vice-director of the Landau Institute and at the same time Professor and Head of Chair « Problems of Theoretical Physics »in Moscow Institute of Physics and Technology.
Since 1999 till 2022 he was Senior Researcher in Commissariat a l’Energie Atomique, Grenoble, France.
At present he is Principal Researcher in Landau Institute for Theoretical Physics.
V.P.Mineev is awarded by L.D.Landau prize of Russian Academy of Sciences in 1992 and by Onsager prize of American Physical Society in 2014.

Books
1. « Topologically Stable Defects and Solitons in Ordered Media », Harwood Academic Publishers 1998.
2. « Introduction to Unconventional Superconductivity » (in co-authorship with K.V.Samokhin) Gordon and Breach Science Publishers 1999.
3. “Kinetics” (in co-authorship with V.N.Gorelkin) МЦНМО 2024.

We study thermal phase slips in an infinite 2D superconducting film within the Usadel model. Recently, the free-energy instanton was obtained in the Ginzburg–Landau region in the vicinity of the critical current. The proximity to the critical current allows one to reduce the Ginzburg–Landau equations to the exactly integrable Boussinesq equation [1]. Using the scaling of the instanton parameters obtained in [1], we perform a gradient expansion of the Usadel equations near the critical current. Keeping only the leading terms in the free energy functional, we transform it into the Boussinesq form and find the activation barrier at arbitrary temperatures using the known instanton profile. In the 1D geometry, our approach yields the asymptotics of the barrier near the critical current, consistent with numerical results from [2]. [1] M. A. Skvortsov and A. V. Polkin, arXiv:2506.18130. [2] A. V. Semenov, P. A. Krutitskii and I. A. Devyatov, Jetp Lett. 92, 762 (2010)