Results 51 to 60 of about 22,203 (182)

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications on Pure and Applied Mathematics, EarlyView.
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

Non-Global Lie Higher Derivations on Triangular Algebras Without Assuming Unity

Axioms
This work establishes a unified structural theory for non-global Lie higher derivations on triangular algebras T, without assuming the existence of a unit element.
Xinfeng Liang, Yujiao Sun
doaj   +1 more source

Invariants of Triangular Lie Algebras

, 2007
Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field.
Ancochea J M, Barannyk L F Fushchych W I, Boyko V, Boyko V, Campoamor-Stursberg R, Campoamor-Stursberg R, Jiri Patera, Kaneta H, Kaneta H, Ndogmo J C, Ndogmo J C, Ndogmo J C, Olver P J, Roman Popovych, Rubin J L, Snobl L, Tremblay S, Tremblay S, Vyacheslav Boyko   +18 more
core   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
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

c-Numerical radius isometries on matrix algebras and triangular matrix algebras

Linear Algebra and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Derived equivalences between triangular matrix algebras [PDF]

Communications in Algebra, 2017
In this paper we study derived equivalences between triangular matrix algebras using certain classical recollements. We show that special properties of these recollements actually characterize triangular matrix algebras, and describe methods to construct tilting modules and tilting complexes inducing derived equivalences between them.
openaire   +2 more sources

Cocycle twisting of E(n)-module algebras and applications to the Brauer group

, 2004
We classify the orbits of coquasi-triangular structures for the Hopf algebra E(n) under the action of lazy cocycles and the Hopf automorphism group. This is applied to detect subgroups of the Brauer group $BQ(k,E(n))$ of E(n) that are isomorphic.
G. Carnovale, J. Cuadra, Y Análisis Matemático   +2 more
core   +3 more sources

Glymphatic dysfunction couples with cortical excitation–inhibition imbalance in epilepsy: Evidence from Rasmussen encephalitis

Epilepsia, EarlyView.
Cong Fu et al. demonstrate that glymphatic system dysfunction is linked to enhanced inhibitory cortical activity using diffusion MRI and EEG. These findings highlight a mechanistic link between perivascular fluid dynamics and neuronal activity, suggesting a role for glymphatic function in maintaining cortical stability in epilepsy.
Cong Fu, Yujiao Yang, Pan Gong, Kun Lv, Yilin Liu, Chongyang Tang, Xiongfei Wang, Lixin Cai, Qingzhu Liu, Yuwu Jiang, Taoyun Ji, Guoming Luan   +11 more
wiley   +1 more source

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source

Robust Tests of Forecast Accuracy for Factor‐Augmented Regressions With an Application to the Novel EA‐MD‐QD Dataset

Journal of Applied Econometrics, EarlyView.
ABSTRACT We present four novel tests of equal predictive accuracy and encompassing á Pitarakis (2023, 2025) for factor‐augmented regressions. Factors are estimated using cross‐section averages (CAs) of grouped series and our theoretical findings are empirically relevant: asymptotic normality, robustness to an overspecification of the number of factors,
Alessandro Morico, Ovidijus Stauskas
wiley   +1 more source