Results 71 to 80 of about 2,880 (159)

Cluster scattering diagrams via quiver moduli and tight gradings

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We study rank‐2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver‐theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin–Reading–Stella concerning the structural and enumerative properties ...
Amanda Burcroff, Kyungyong Lee, Lang Mou, Gregg Musiker, Markus Reineke   +4 more
wiley   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source

Utilization of Euler-Lagrange Equations in Circuits with Memory Elements [PDF]

Radioengineering, 2016
It is well known that the equation of motion of a system can be set up using the Lagrangian and the dissipation function, which describe the conservative and dissipative parts of the system.
Z. Biolek, D. Biolek, V. Biolkova
doaj  

Advancing Aquifer Characterization Through the Integration of Satellite Geodesy, Geomechanics, and Bayesian Inference

Geophysical Research Letters, Volume 53, Issue 14, 28 July 2026.
Abstract Unsustainable rates of groundwater (GW) depletion make GW management a priority. Effective GW management is hindered by the uncertainty in the predictions of aquifer models, but the increase of geodetic surface deformation data can improve aquifer characterization.
Amal Alghamdi, Marc A. Hesse, Jingyi Chen, Omar Ghattas   +3 more
wiley   +1 more source

Phase Space of Rolling Solutions of the Tippe Top

Symmetry, Integrability and Geometry: Methods and Applications, 2007
Equations of motion of an axially symmetric sphere rolling and sliding on a plane are usually taken as model of the tippe top. We study these equations in the nonsliding regime both in the vector notation and in the Euler angle variables when they admit ...
S. Torkel Glad, Daniel Petersson, Stefan Rauch-Wojciechowski   +2 more
doaj  

Optimal control of nonsmooth system governed by quasi-linear elliptic equations

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem.
Gong Liutang, Fei Pusheng
doaj   +1 more source

A Hybrid‐High Order Method for Fracture Modelling

International Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.
ABSTRACT In this work we introduce a new Hybrid High‐Order method for the numerical simulation of fracture propagation based on phase‐field models. The proposed method: supports general meshes made of polygonal/polyhedral elements, which provides great flexibility in mesh design and adaptation; can accommodate large variations of both the displacement ...
Alessandra Crippa, Julien Coatléven, Daniele A. Di Pietro, Nicolas Guy, Soleiman Yousef   +4 more
wiley   +1 more source

Fractional Euler–Lagrange Equations Under Periodic and Antiperiodic Boundary Conditions

Fractal and Fractional
In this work, we derive necessary optimality conditions for a class of fractional variational problems involving Caputo-type derivatives. We consider functionals defined on appropriate spaces of absolutely continuous functions and study both periodic and
Ricardo Almeida
doaj   +1 more source

Assessment of Five Generative Artificial Intelligence Tools in Theory of Machines and Mechanisms Through Bloom's Taxonomy

Computer Applications in Engineering Education, Volume 34, Issue 4, July 2026.
ABSTRACT Background: The rapid development and adoption of generative artificial intelligence (GAI) tools, particularly following ChatGPT's release, have created new opportunities and challenges for engineering education. While several studies have explored AI capabilities in mechanical engineering, systematic analysis across different cognitive skill ...
Antonio Pérez‐González, Javier Andrés‐Esperanza, José L. Iserte, Víctor Roda‐Casanova   +3 more
wiley   +1 more source

On the Generalized Ulam-Gavruta-Rassias Stability of Mixed-Type Linear and Euler-Lagrange-Rassias Functional Equations

International Journal of Mathematics and Mathematical Sciences, 2007
In this paper, the mixed-type linear and Euler-Lagrange-Rassias functional equations introduced by J. M. Rassias is generalized to the following n-dimensional functional equation: f(∑i=1nxi)+(n−2)∑i=1nf(xi)=∑1≤i2.
Paisan Nakmahachalasint
doaj   +1 more source