Results 161 to 170 of about 488 (225)

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, Robert Seiringer   +3 more
wiley   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

Communications 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

Exploring the Structural, Electronic, and Optical Characteristics of ZrSnO3 Through First‐Principles Calculations for Optoelectronics and Photocatalytic Applications

Electrochemical Science Advances, Volume 6, Issue 4, August 2026.
ABSTRACT We performed first‐principles density functional theory calculations to methodically analyse the structural, mechanical, electronic, thermal, and optical properties of trigonal ZrSnO3 under external pressure up to 60 GPa with GGA‐PBE and HSE06 functionals.
Jahid Hasan, Md. Zuel Rana, Ehesanul Hoq, Abdul Barik, M. S. Alam, Md. Hazrat Ali, Afroza Khatun   +6 more
wiley   +1 more source

Academic Resilience in Contexts of Inequality: Motivational and Self‐Efficacy Profiles of Disadvantaged High Achievers

Journal of Adolescence, Volume 98, Issue 6, Page 1939-1956, August 2026.
ABSTRACT Introduction Socioeconomic disparities in academic achievement are well‐documented in France and emerge early in schooling. Yet, a subset of students from socioeconomically disadvantaged backgrounds attains high academic performance, challenging deterministic accounts of educational inequality.
Margot Rémeau, Gaël Raffy, Grégoire Borst   +2 more
wiley   +1 more source

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13946-13970, August 2026.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Exactly Solvable Anharmonic Oscillator, Degenerate Orthogonal Polynomials and Painlevé II. [PDF]

Commun Math Phys
Bertola M, Chavez-Heredia E, Grava T.
europepmc   +1 more source

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

Mathematical 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, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Testing for Conformity With Parametric Distributions Using Level Sets: From Univariate to Bivariate Applications

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.
ABSTRACT Conformity of observed data with a postulated probability distribution is a fundamental problem of statistical modeling. Current tools for checking distributional conformity are often limited to univariate settings, with extensions to multivariate distributions facing challenges in interpretability and power.
Rasha Alsaadawi, Nitai D. Mukhopadhyay
wiley   +1 more source

Continuum Growth Mechanics: Reconciling Two Common Frameworks. [PDF]

J Biomech Eng
Ateshian GA, LaBelle SA, Weiss JA.
europepmc   +1 more source

Basal Force Probability Distributions in Thin‐Layer Granular Flows

Journal of Geophysical Research: Earth Surface, Volume 131, Issue 8, August 2026.
Abstract Extreme geophysical flows, such as granular and debris flows, can significantly shape the landscape in steep lands and generate seismic signals that can be recorded over long distances. However, direct field measurements needed to constrain the granular physics remain difficult due to the damage potential of those flows.
Jun Fang, Hui Tang, Yifei Cui, Jens M. Turowski, Lu Jing, Clarence Edward Choi   +5 more
wiley   +1 more source