Solving the coupled Gerdjikov-Ivanov equation via Riemann-Hilbert approach on the half line. [PDF]
Hu J, Dong H, Zhang N.
europepmc +1 more source
The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley +1 more source
Riemann boundary value problem for hyperanalytic functions
Ricardo Abreu Blaya +2 more
doaj +1 more source
Stability of Inverse Problems for Steady Supersonic Flows Past Lipschitz Perturbed Cones. [PDF]
Chen GG, Pu Y, Zhang Y.
europepmc +1 more source
Symmetrization and the rate of convergence of semigroups of holomorphic functions
Abstract Let (ϕt)$(\phi _t)$, t⩾0$t\geqslant 0$, be a semigroup of holomorphic self‐maps of the unit disk D$\mathbb {D}$. Let Ω$\Omega$ be its Koenigs domain and τ∈∂D$\tau \in \partial \mathbb {D}$ be its Denjoy–Wolff point. Suppose that 0∈Ω$0\in \Omega$ and let Ω♯$\Omega ^\sharp$ be the Steiner symmetrization of Ω$\Omega$ with respect to the real axis.
Dimitrios Betsakos +1 more
wiley +1 more source
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
europepmc +1 more source
A fractional residue theorem and its applications in calculating real integrals
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D. [PDF]
Julin V, Morini M, Oronzio F, Spadaro E.
europepmc +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Three layers thermal protection system modeling by Riemann-Liouville fractional derivative. [PDF]
Brociek R, Hetmaniok E, Słota D.
europepmc +1 more source

