The finite element neural network method to simulate two dimensional partial differential equations and perform parameter identification. [PDF]
Abda M +7 more
europepmc +1 more source
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley +1 more source
Implicit quiescent soliton perturbation in optical metamaterials with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov's forms of self-phase modulation structures by lie symmetry. [PDF]
Adem AR +5 more
europepmc +1 more source
This is a digest report of [12, 13]; we give an elementary characterization of local diffeomorphic types of singular ruled/developable surfaces in mathbb{R}^{3} and their bifurcations by using dual quaternions and mathcal{A}-classification theory of map-germs. Maps and manifolds are of class C^{infty} throughout.
openaire
Local multiplicativity of perverse filtrations
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley +1 more source
"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]
Plotnitsky A.
europepmc +1 more source
Context‐free graphs and their transition groups
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Hybrid Analytical and Simulation-Based Approach for Workspace Verification of a Pneumatic Upper Limb Exoskeleton. [PDF]
Mayorov N +3 more
europepmc +1 more source
Studies on singular Hermitian metrics and their applications in algebraic geometry
openaire +1 more source

