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
Fractional orthopair fuzzy decision framework for sustainable water resource management in urban areas. [PDF]
Zhang X +5 more
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
You Understand, So I Understand: How a "Community of Knowledge" Shapes Trust and Credibility in Expert Testimony Evidence. [PDF]
Jones ACT, Haga MR.
europepmc +1 more source
Abstract Hate speech is a global issue. Intentional expressions of group‐related derogation have become more widespread in recent years and they potentially bear negative consequences for individuals, communities and societies. After the internet, the school is a context where children and adolescents perpetrate and/or witness hate speech or become ...
Julia Kansok‐Dusche +3 more
wiley +1 more source
It's not a bug, it's a feature: How AI experts and data scientists account for the opacity of algorithms. [PDF]
Avnoon N, Eyal G.
europepmc +1 more source
AI in chemical engineering: From promise to practice
Abstract Artificial intelligence (AI) in chemical engineering has moved from promise to practice: physics‐aware (gray‐box) models are gaining traction, reinforcement learning complements model predictive control (MPC), and generative AI powers documentation, digitization, and safety workflows.
Jia Wei Chew +4 more
wiley +1 more source
The Physics, Information, and Computation of Perennial Learning: Kolmogorov Complexity, Information Distance, and Port-Hamiltonian Thermodynamics. [PDF]
Bajaj C.
europepmc +1 more source
Abstract This study investigates a fault‐tolerant control (FTC) approach for continuous stirred‐tank reactors (CSTR), emphasizing the importance of timely interventions to ensure operational safety under fault conditions. A systematic methodology combining residual‐based fault estimation and Dynamic Safety Margin (DSM) monitoring is developed to guide ...
Pu Du +3 more
wiley +1 more source
Social support and future self-continuity across clinical transition phases in master of nursing specialist students: a longitudinal cross-lagged panel study based on Schlossberg's Transition Theory. [PDF]
Lv J +5 more
europepmc +1 more source

