Results 71 to 80 of about 11,416,461 (242)

Near‐Resonant Generation of Internal Tide Superharmonics: Comparing Theoretical Predictions With a Global Ocean Model

Geophysical Research Letters, Volume 52, Issue 10, 28 May 2025.
Abstract Internal tides are generated in the stratified ocean interior by the interaction of barotropic tidal currents with rough bathymetry. Low‐vertical‐mode internal tides can transport energy far from their generation site, but it remains unclear how and where this energy is eventually dissipated at small scales.
L. E. Baker, A. Doak, D. Bi
wiley   +1 more source

ROSSMIX 2.0: A Simplified Meso‐Scale Eddy Closure Applied to a Realistic Ocean Model

Journal of Advances in Modeling Earth Systems, Volume 17, Issue 5, May 2025.
Abstract A new closure, ROSSMIX 2.0, for the effect of meso‐scale eddies in non‐eddy‐resolving ocean models is presented and evaluated. It combines aspects of several previous closures in a simplified approach: local linear stability analysis is used to predict the vertical and lateral shape of eddy correlations, while a wave energy equation co ...
Carsten Eden, Jan Dettmer
wiley   +1 more source

Convolution algebras arising from Sturm-Liouville transforms and applications

International Journal of Mathematics and Mathematical Sciences, 2001
A regular Sturm-Liouville eigenvalue problem gives rise to a related linear integral transform. Churchill has shown how such an integral transform yields, under certain circumstances, a generalized convolution operation.
Jason P. Huffman, Henry E. Heatherly
doaj   +1 more source

The conservative Camassa–Holm flow with step‐like irregular initial data

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We extend the inverse spectral transform for the conservative Camassa–Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boundedness‐type conditions at the other endpoint. The latter condition appears to be close to optimal in a certain sense for the well‐posedness of the conservative ...
Jonathan Eckhardt, Aleksey Kostenko
wiley   +1 more source

On a fractional hybrid version of the Sturm–Liouville equation

Advances in Difference Equations, 2020
It is well known that the Sturm–Liouville equation has many applications in different areas of science. Thus, it is important to review different versions of the well-known equation.
Zohreh Zeinalabedini Charandabi, Shahram Rezapour, Mina Ettefagh   +2 more
doaj   +1 more source

Trace regularization problem for a fourth‐order differential operator on separable Banach space

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4578-4591, 15 March 2025.
In this study, we employ new results on the semi‐inner product, the adjoint operator, and the Schatten class of operators on a separable Banach space, which allow us to investigate a differential operator with unbounded operator‐valued coefficients. Specifically, we derive an asymptotic formula for the second regularized trace based on the asymptotic ...
Ozlem Baksi, Yonca Sezer, Seda K. Caliskan   +2 more
wiley   +1 more source

Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions

Nonlinear Analysis, 2006
The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
doaj   +1 more source

A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem

Abstract and Applied Analysis, 2012
We propose a numerical Taylor's Decomposition method to compute approximate eigenvalues and eigenfunctions for regular Sturm-Liouville eigenvalue problem and nonlinear Euler buckling problem very accurately for relatively large step sizes.
Meltem Evrenosoglu Adiyaman, Sennur Somali   +1 more
doaj   +1 more source

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi-point boundary condition via Caputo derivative

Advances in Difference Equations, 2019
We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

Fractional Sturm-Liouville operators on compact star graphs

Demonstratio Mathematica
In this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
doaj   +1 more source