A unified concatenation model for plasma physics: Integrability and soliton solutions. [PDF]
Zayed EME +3 more
europepmc +1 more source
Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes [PDF]
Gabriel R. Barrenechea +2 more
openalex +1 more source
Duality for Evolutionary Equations With Applications to Null Controllability
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
Dynamical study of optical soliton solutions of time-fractional perturbed model in ultrafast optical fibers. [PDF]
Ouahid L +7 more
europepmc +1 more source
Algorithms. 21. PCHOLES. Solution of a $(2m+1)$ diagonal system of linear algebraic equations with right-hand sides by the Cholesky method [PDF]
Josef Čermák
openalex +1 more source
A Biophysical Approach to the Design of Networks of Communication Systems
ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida +2 more
wiley +1 more source
Exploring the exact solutions of the Kuramoto-Sivashinsky equation with advection noise in fluid dynamics. [PDF]
Obeidat ST, Rizk D, Mohammed WW.
europepmc +1 more source
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
Permutation-Based Distances for Groups and Group-Valued Time Series. [PDF]
Amigó JM, Dale R.
europepmc +1 more source

