Self‐Similar Blowup for the Cubic Schrödinger Equation
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]
Arici F, Ge Y.
europepmc +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Anomalous Coulomb-Enhanced Charge Transport in Triangular Triple-Quantum-Dot Systems. [PDF]
Dong S, Li J, Wei J.
europepmc +1 more source
Transient Conjugate MHD Flow With Variable Thermal Conductivity: A CFD to ANN Study
A star‐shaped obstacle inside a hexagonal cavity alters fluid flow and heat transfer under magnetic fields. Simulations and ANN predictions reveal that magnetic strength and material properties control cooling efficiency, supporting smarter designs for real‐time thermal management.
M. A. Forhad +5 more
wiley +1 more source
T-Fuzzy Structure on JU-Algebra. [PDF]
Hunie Gelaw S, Alaba BA, Taye MA.
europepmc +1 more source
Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis +1 more
wiley +1 more source
Noncyclic BCH and Srivastava codes over the subgroup of the groups of units of Galois rings [Formula: see text] for advanced error control. [PDF]
Sajjad M +4 more
europepmc +1 more source
Efficient Tensor Completion Algorithms for Highly Oscillatory Operators
ABSTRACT We address the problem of recovering highly oscillatory operators, represented as n×n$$ n\times n $$ matrices with a fixed set of observed entries. Given that these matrices can be well compressed by butterfly matrix decomposition of L=𝒪(logn) levels requiring only O(nlogn)$$ O\left(n\log n\right) $$ degrees of freedom, we propose a novel ...
Navjot Singh +3 more
wiley +1 more source
The Category of Anyon Sectors for Non-Abelian Quantum Double Models. [PDF]
Bols A +3 more
europepmc +1 more source

