Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. In this paper, we consider the global existence of strong solutions of a thermodynamically consistent diffuse interface model describing two-phase flows of incompressible fluids in a non-…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We discuss singularity analysis and bilinear integrability of four Bogoyavlensky differential-difference equations. Three of them are completely integrable, and the fourth is, to our know…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. In this paper, we introduce a series of new invariants for singularities. A new conjecture about the non-existence of negative weight derivations of the new k-th singular locus moduli alg…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We consider an insulated conductivity model with two neighboring inclusions of m-convex shapes in [math] when m ≥ 2 and d ≥ 3. We establish pointwise gradient estimates for the insulated …
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We extend the quandle cocycle invariant to the context of stuck links. More precisely, we define an invariant of stuck links by assigning Boltzmann weights at both classical and stuck cro…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. In this paper, we show that the mild solutions to the Navier–Stokes–Vlasov–Fokker–Planck system exist globally in time near a global Maxwellian, provided that we take small-amplitude init…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We consider gravitational lensing of a background source by a finite system of point-masses. The problem of determining the maximum possible number of lensed images has been completely re…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. “Quaternionic” vector bundles are the objects that describe topological phases of quantum systems subjected to an odd time-reversal symmetry (class AII). In this work, we prove that the F…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. In this paper, we investigate a class of fractional Kirchhoff problems with a magnetic field and supercritical growth. By employing a truncation argument and Moser iterative method, we ob…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We construct local bihamiltonian structures from classical W-algebras associated with non-regular nilpotent elements of regular semisimple type in Lie algebras of types A2 and A3. They fo…