In this paper, we study the concept of approximate controllability retarded network systems neutral type. On one hand, reformulate such as free-delay boundary control on product spaces. other use rich theory infinite-dimensional linear to derive necessary and sufficient conditions for controllability. Moreover, propose a rank condition which can easily verify Our ap...

Patch solutions for the surface quasigeostrophic (SQG) equation model sharp temperature fronts in atmospheric and oceanic flows. Boundedness of curvature plays an important role theoretical [F. Gancedo R. M. Strain, Absence splash singularities quasi-geostrophic Muskat problem, Proc. Natl. Acad. Sci. USA 111 (2014) 635–639] numerical [D. Córdoba, A. Fontelos, Mancho J. L. Rodrigo, Evidence a fa...

In this paper we show global well-posedness near vacuum for the binary-ternary Boltzmann equation. The equation provides a correction term to classical equation, taking into account both binary and ternary interactions of particles, may serve as more accurate description model denser gases in non-equilibrium. Well-posedness and, independently, purely follow special cases. To prove well-posednes...

In this work, we are interested in tree-shaped networks of freely vibrating beams which geometrically exact (GEB) – the sense that large motions (deflections, rotations) accounted for addition to shearing and linked by rigid joints. For intrinsic GEB formulation, namely terms velocities internal forces/moments, derive transmission conditions show network is locally ...