Results 31 to 40 of about 190 (133)

Existence of solutions for perturbed fourth order elliptic equations with variable exponents [PDF]

, 2018
Using variational methods, we study the existence and multiplicity of solutions for a class of fourth order elliptic equations of the form 2 p(x) u − M R 1 p(x) |∇u| p(x) dx ∆p(x)u = f(x, u) in Ω, u = ∆u = 0 on ∂Ω, where Ω ⊂ RN, N ≥ 3, is a smooth ...
Thanh Chung Nguyen, Chung, Nguyen Thanh, Nguyen Thanh Chung   +2 more
core   +1 more source

The Energy Exascale Earth System Model Version 3: 2. Overview of the Coupled System

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 4, April 2026.
Abstract The Energy Exascale Earth System Model version 3 (E3SMv3) represents the latest advancement in Earth system modeling developed by the U.S. Department of Energy (DOE). Building upon previous versions, E3SMv3 introduces significant updates across its coupled components to enhance capability and improve fidelity.
Jean‐Christophe Golaz, Wuyin Lin, Xue Zheng, Shaocheng Xie, Andrew F. Roberts, Luke P. Van Roekel, Peter E. Thornton, Alice M. Barthel, Andrew M. Bradley, Jonathan D. Wolfe, Chengzhu Zhang, Kai Zhang, Shixuan Zhang, Xylar S. Asay‐Davis, Carolyn B. Begeman, Gautam Bisht, Susannah M. Burrows, Chih‐Chieh‐Jack Chen, Yan Feng, Elizabeth C. Hunke, Robert L. Jacob, Ziming Ke, Salil Mahajan, Naser G. Mahfouz, Mathew E. Maltrud, Xiaoying Shi, Qi Tang, Christopher R. Terai, Erin E. Thomas, Hailong Wang, Jinbo Xie, Tian Zhou, Tony Bartoletti, James J. Benedict, Michael A. Brunke, Darin S. Comeau, Jiwen Fan, Ryan M. Forsyth, James G. Foucar, Oksana Guba, Walter M. Hannah, Dalei Hao, Xianglei Huang, Nicole Jeffery, Hyun‐Gyu Kang, Noel D. Keen, Hsiang‐He Lee, Jiwoo Lee, Xiaohong Liu, Azamat Mametjanov, Johannes Muelmenstaedt, Mark R. Petersen, Michael J. Prather, Stephen F. Price, Yun Qian, Andrew G. Salinger, Sean P. Santos, Yunpeng Shan, Balwinder Singh, Katherine M. Smith, Xiaoliang Song, Sarat Sreepathi, Adrian K. Turner, Tom Vo, Hui Wan, Mingxuan Wu, Wandi Yu, Charles S. Zender, Xubin Zeng, Guang J. Zhang, Meng Zhang, Tao Zhang, Yuying Zhang, Renata B. McCoy, Mark A. Taylor, L. Ruby Leung, Peter M. Caldwell, David C. Bader   +77 more
wiley   +1 more source

Development of a Mesoscale‐ and Tide‐Resolving Ocean–Biogeochemistry Model for the Pacific: Tidal Enhancement of the Biological Carbon Pump

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 4, April 2026.
Abstract This study presents a new physical‐biogeochemical simulation of the Pacific Ocean that resolves mesoscale dynamics and explicitly includes tidal forcing. The primary objective is to develop and document a modeling framework that serves both as a detailed record of model configuration and forcing preparation, and as a reference for future ...
Pierre Damien, Jeroen Molemaker, Daniel McCoy, Devin Dollery, Jerome Guiet, Daniele Bianchi, James C. McWilliams   +6 more
wiley   +1 more source

On a class of singular biharmonic problems involving critical exponents

, 2003
This paper deals with the following class of singular biharmonic problems (P)Δ2u+V(x)|u|q−1u=|u|2∗−2u,inΩ⊂RN,u∈D2,2o(Ω),N⩾5, where 1 ...
Miyagaki, O.H., O.H. Miyagaki, C.O. Alves, Alves, C.O., do Ó, João Marcos, João Marcos do Ó   +5 more
core   +1 more source

Lorenz Energy Cycle of the Global Eddying Ocean Simulated on Meshes With Different Designs and Resolutions

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 4, April 2026.
Abstract We analyze the Lorenz Energy Cycle of the ocean simulated by FESOM on several unstructured meshes, with nominal horizontal resolution ranging from 1/4 to 1/12°. Some meshes are more strongly refined in regions where the eddy kinetic energy (EKE) is large, whereas others follow a standard design, with resolution gently increasing toward high ...
A. Koldunov, D. Sidorenko, N. Koldunov, S. Danilov, P. Scholz   +4 more
wiley   +1 more source

Eigenvalues of the $p(x)-$biharmonic operator with indefinite weight] {Eigenvalues of the $p(x)-$biharmonic operator with indefinite weight under Neumann boundary conditions

, 2018
In this paper we will study the existence of solutions for the nonhomogeneous elliptic equation with variable exponent $\Delta^2_{p(x)} u=\lambda V(x) |u|^{q(x)-2} u$, in a smooth bounded domain,under Neumann boundary conditions, where $\lambda$ is a ...
Said Taarabti, Khalil Ben Haddouch, Zakaria El Allali   +2 more
core   +1 more source

The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin, Simon Byrne, Charles Kawczynski, Sriharsha Kandala, Gabriele Bozzola, Akshay Sridhar, Zhaoyi Shen, Anna Jaruga, Julia Sloan, Jia He, Daniel Zhengyu Huang, Valeria Barra, Ray Chew, Anudhyan Boral, Yi‐fan Chen, Oswald Knoth, Paul Ullrich, Cheikh Mbengue, Tapio Schneider   +18 more
wiley   +1 more source

Parameterizing Isopycnal Mixing via Kinetic Energy Backscatter in an Eddy‐Permitting Ocean Model

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 3, March 2026.
Abstract Representing mesoscale turbulence in eddy‐permitting ocean models raises challenges for climate simulations; in such models, eddies and their associated energy and transport effects are resolved either marginally or only over parts of the domain.
Matthew P. Pudig, Wenda Zhang, K. Shafer Smith, Laure Zanna   +3 more
wiley   +1 more source

Existence of multiple solutions for a p(x)-biharmonic equation

, 2013
In this article, we show the existence of at least three solutions to a Navier boundary problem involving the p(x)-biharmonic operator.
Lin Li, Ling Ding, Wen-Wu Pan
core  

Existence of solutions to hemivariational inequalities involving the p(x)-biharmonic operator

, 2015
This article concerns the existence of solutions to boundary-value problems involving the p(x)-biharmonic operator. Our technical approach is the variational-hemivariational inequality on bounded domains by using the mountain pass theorem and the ...
Mohsen Alimohammady, Fariba Fattahi
core