Results 131 to 140 of about 60,181 (231)

Existence, Non‐Existence, and Uniqueness of Solutions for a Generalized Fractional p‐Kirchhoff Equation

Mathematische Nachrichten, Volume 299, Issue 5, Page 1004-1027, May 2026.
ABSTRACT This paper investigates the existence and non‐existence and uniqueness of global solutions for certain parameter values c$c$ in a new class of generalized fractional p$p$‐Kirchhoff equations in the whole space. Using the Pohozaev and Nehari identities for an auxiliary problem, together with the fractional Gagliardo–Nirenberg inequality and the
J. Vanterler da C. Sousa, Romulo Diaz Carlos, El‐Houari Hamza   +2 more
wiley   +1 more source

How Does Heterogeneity Control Strain Localization Patterns in High‐Porosity Rocks?

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract We aim to explore how heterogeneous porosity and grain size contribute to strain localization patterns in highly porous rocks based on phase‐field simulations. The strain localization patterns, including shear bands, dilatation bands, and compaction bands, are commonly observed in geological field studies and laboratory experiments.
Yunteng Wang, Chi Zhang, Philipp Braun, Xuan Kang, Wei Wu   +4 more
wiley   +1 more source

Accelerating Catalyst Materials Discovery With Large Artificial Intelligence Models

Angewandte Chemie, Volume 138, Issue 16, 13 April 2026.
AI‐empowered catalysis research via integrated database platform, universal machine learning interatomic potentials (MLIPs), and large language models (LLMs). ABSTRACT The integration of artificial intelligence (AI) into catalysis is fundamentally reshaping the research paradigm of catalyst discovery.
Di Zhang, Yuanzheng Chen, Chuanyu Liu, Yan Liu, Hongliang Xin, Jiayu Peng, Pengfei Ou, Hao Li   +7 more
wiley   +2 more sources

Can Eulerian Eddy Diffusivity Be Inferred From Lagrangian Trajectories?

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 5, May 2026.
Abstract Lagrangian particle trajectories are widely used to characterize tracer dispersion and mixing driven by mesoscale currents (“eddies”), leading to estimates of eddy diffusivity that can in turn be used in non‐eddy‐resolving and eddy‐permitting ocean models.
Yueyang Lu, Igor Kamenkovich, Pavel Berloff   +2 more
wiley   +1 more source

On the initial-boundary value problem for a nonlocal parabolic equation with nonlocal boundary condition

Журнал Белорусского государственного университета: Математика, информатика, 2018
We consider a nonlinear nonlocal parabolic equation ut = Δu + a(x,t)ur∫Ωup(y,t)dy - b(x,t)uq for (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary condition u(x,t)|∂Ω × (0,+∞) = ∫Ωk(x,y,t)ul(y,t)dy and initial data u(x,0) = u0(x), x ∈ Ω, where r, p, q, l are positive constants; Ω is a bounded domain in Rn with smooth boundary ∂Ω.
Alexander L. Gladkov, Tatiana V. Kavitova   +1 more
openaire   +1 more source

How Volume Increases the Mobility of Geophysical Granular Flow: A Unified Rheological Perspective

Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.
Abstract Geophysical granular flows, involving rapidly flowing granular materials, can exhibit volume‐enhanced mobility. Lacking a mechanistic understanding of such size effects limits the applications of lab‐scale findings to natural events. Using discrete element method simulations, we find that increasing granular system size suppresses energy ...
Ming Peng, Jiacheng Xia, Lu Jing, Gordon G. D. Zhou, Limin Zhang, Jianfeng Chen   +5 more
wiley   +1 more source

Simulations of a High Ozone Episode and Heatwave Day Using a Coupled Multi‐Layer Urban Canopy and Chemistry Model

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 7, 16 April 2026.
Abstract Coastal cities face critical challenges in managing ozone pollution because of high population density and complex interactions between urbanization and coastal meteorology. Using New York City (NYC) as a case study, this work examines how urban surfaces influence heatwaves, sea‐breeze circulations, and boundary‐layer dynamics, and how these ...
H. Gamarro, W. M. Angevine, B. C. McDonald, R. Bornstein, P. Ramamurthy, F. Moshary, L. M. Judd, J. E. González‐Cruz   +7 more
wiley   +1 more source

Controllability of nonlinear differential evolution systems in a separable Banach space

Electronic Journal of Differential Equations, 2012
In this article, we study the controllability of semilinear evolution differential systems with nonlocal initial conditions in a separable Banach space. The results are obtained by using Hausdorff measure of noncompactness and a new calculation method.
Bheeman Radhakrishnan, Krishnan Balachandran   +1 more
doaj  

Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley   +1 more source

Efficient Energy‐Stable Discontinuous Galerkin Scheme for the Non‐Isothermal Cahn–Hilliard–Navier–Stokes Two‐Phase Fluid Flow System

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou, Meiting Wang, Kejia Pan, Yin Yang, Xiaofeng Yang   +4 more
wiley   +1 more source