Results 71 to 80 of about 3,020 (154)
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet +3 more
wiley +1 more source
ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha +1 more
wiley +1 more source
Solution of the KdV equation with fractional time derivative via variational method
This article presents a formulation of the time-fractional generalized Korteweg-de Vries (KdV) equation using the Euler-Lagrange variational technique in the Riemann-Liouville derivative sense. It finds an approximate solitary wave solution, and shows
Youwei Zhang
doaj
Kazdan–Warner obstructions for a fourth‐order boundary problem
Abstract We derive Kazdan–Warner type identities for the boundary problem of prescribing nonconstant interior Q$Q$ curvature and boundary T$T$ curvature on the upper hemisphere S+4${\mathbb {S}}^{4}_{+}$ by a conformal change of the standard metric.
Sergio Cruz‐Blázquez +1 more
wiley +1 more source
Cluster scattering diagrams via quiver moduli and tight gradings
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 +4 more
wiley +1 more source
Optimizing Variational Problems through Weighted Fractional Derivatives
In this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with
Ricardo Almeida
doaj +1 more source
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
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 +2 more
wiley +1 more source
Global solutions to a one-dimensional nonlinear wave equation derivable from a variational principle
This article focuses on a one-dimensional nonlinear wave equation which is the Euler-Lagrange equation of a variational principle whose Lagrangian density involves linear terms and zero term as well as quadratic terms in derivatives of the field.
Yanbo Hu, Guodong Wang
doaj
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 +3 more
wiley +1 more source
A Hybrid‐High Order Method for Fracture Modelling
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 +4 more
wiley +1 more source

