Results 101 to 110 of about 273 (174)

Self‐Similar Blowup for the Cubic Schrödinger Equation

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.
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

CT-augmented digital tomosynthesis image reconstruction in image-guided bronchoscopy interventions. [PDF]

open access: yesMed Phys
Saad F   +8 more
europepmc   +1 more source

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

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
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

Vector‐based comparison as a novel framework for assessing multi‐endpoint clinical trials: Applications to actual data

open access: yesClinical and Translational Discovery, Volume 6, Issue 4, August 2026.
Multi‐endpoint clinical trials face long‐standing statistical challenges. Vector‐based comparison (VBC) decomposes endpoints into orthogonal components. Applied to five clinical trials, it reduced confidence‐interval widths by about 50%, indicating higher statistical power, without altering the clinical meaning of endpoints.
Maria Kokkali, Vangelis D. Karalis
wiley   +1 more source

An Efficient Quasi‐Static Condensation‐Based Framework for Seismic Analysis of Multi‐Supported Secondary Structures

open access: yesEarthquake Engineering &Structural Dynamics, Volume 55, Issue 10, Page 2466-2485, August 2026.
ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang   +5 more
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

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