Moisture Decomposition With Normal Modes in Global Data: Balanced and Unbalanced Components
Abstract Decompositions with normal modes have been useful for numerous purposes, such as theoretical understanding of balanced and unbalanced circulations, and applications to data assimilation. However, normal mode decompositions have typically been formulated for dry dynamics without moisture.
Bradley Kumm +3 more
wiley +1 more source
Stable factorization of the Calderón problem via the Born approximation
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé +3 more
wiley +1 more source
Bu tez çalışmasında; kesirli diferansiyel denklemlerin genişletilmiş hali olan uyumlu kesirli Sturm-Liouville denklemi ele alınmıştır. Regüler ve Singüler uyumlu kesirli Sturm-Liouville sınır değer problemlerinin sınıflandırılması yapılmıştır.
Paşaoğlu, Bilender, 1955- thesis advisor 10115 +3 more
core
Inverse nodal problem for a class of nonlocal sturm‐liouville operator
Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
doaj +1 more source
Internal Wave Characteristics in the Andaman Sea: New Insights From SWOT Observations
Abstract High‐resolution, repeat‐pass Sea Surface Height Anomaly (SSHA) observations from the Surface Water and Ocean Topography (SWOT) satellite are used to investigate Internal Solitary Waves (ISW) in the Andaman Sea over a one‐year period starting in July 2023. SWOT captured surface signatures of high‐amplitude ISW, with SSHA exceeding 20 cm.
Anup Kumar Mandal +7 more
wiley +1 more source
Hille-Nehari type oscillation and nonoscillation criteria for linear and half-linear differential equations [PDF]
Differential equations attract considerable attention in many applications. In particular, it was found out that half-linear differential equations behave in many aspects very similar to that in linear case. The aim of this contribution is to investigate
Rˇ eznícˇková Jana
doaj +1 more source
Effect of Field Line Torsion on the Polarization of ULF Waves
Abstract In this paper we suggest a simple modification of the dipole magnetic field which introduces field‐aligned currents and torsion to the field lines. The resulting field lines are not contained in the meridional planes and have resemblance to the geomagnetic field lines in the dawn and dusk flanks of the magnetosphere. We analyze polarization of
K. Kabin, A. W. Degeling, R. Rankin
wiley +1 more source
A Sturm-Liouville Equation: The Time-Independent One-Dimensional Schrödinger Equation
This chapter examines the mathematical properties of the time-independent one-dimensional Schrödinger equation as they relate to Sturm-Liouville problems. The regular Sturm-Liouville theory was generalized in 1908 by the German mathematician Hermann Weyl
John A. Adam
core +1 more source
Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
wiley +1 more source
Periodic Solutions of the Euler-Bernoulli Equation for Vibrations of a Beam with Fixed Ends
The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam with fixed ends is investigated. The nonlinear term and the right-hand side of the equation are time-periodic functions.
Igor Rudakov, Mikhail Zinovyev
doaj +1 more source

