Results 41 to 50 of about 29,973 (286)

Approximation of point interactions by geometric perturbations in two-dimensional domains

Bulletin of Mathematical Sciences, 2023
In this paper, we present a new type of approximation of a second-order elliptic operator in a planar domain with a point interaction. It is of a geometric nature that the approximating family consists of operators with the same symbol and regular ...
D. I. Borisov, P. Exner
doaj   +1 more source

Resonance fluorescence in the resolvent-operator formalism [PDF]

Physical Review A, 2017
The Mollow spectrum for the light scattered by a driven two-level atom is derived in the resolvent operator formalism. The derivation is based on the construction of a master equation from the resolvent operator of the atom-field system. We show that the natural linewidth of the excited atomic level remains essentially unmodified, to a very good level ...
Debierre, V., Harman, Z.
openaire   +3 more sources

On the correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations [PDF]

, 2016
The relationship between Koopman mode decomposition, resolvent mode decomposition and exact invariant solutions of the Navier-Stokes equations is clarified.
McKeon, Beverley J., Mezić, Igor, Sharma, Ati S.   +2 more
core   +3 more sources

The significant contribution of stochastic forcing to nonlinear energy transfer in resolvent analysis

Theoretical and Applied Mechanics Letters
Nonlinear energy transfer is represented through eddy viscosity and stochastic forcing within the framework of resolvent analysis. Previous investigations estimate the contribution of eddy-viscosity-enhanced resolvent operator to nonlinear energy ...
Youhua Wang, Ting Wu, Guowei He
doaj   +1 more source

Operators with hermitian resolvent

Advances in Mathematics, 1987
For the pseudofifferential operator \(T_{\sigma}: {\mathcal S}\to L^ p({\mathbb{R}}^ n)\) (\({\mathcal S}\) being the Schwartz space) and the complex- valued, measurable function q the space \({\mathcal D}\) is defined to be the set of all functions \(\phi\in {\mathcal S}\) such that \(q\phi\) is in L p(\({\mathbb{R}}^ n\)) and the operator \(T ...
openaire   +2 more sources

On the extended resolvent of the Nonstationary Schrodingher operator for a Darboux transformed potential

, 2005
In the framework of the resolvent approach it is introduced a so called twisting operator that is able, at the same time, to superimpose \`a la Darboux $N$ solitons to a generic smooth decaying potential of the Nonstationary Schr\"odinger operator and to
A K Pogrebkov, Boiti M, Boiti M, Boiti M, Boiti M, Boiti M Pempinelli F Pogrebkov A K Prinari B, Dryuma V S, Dubrovin B A, F Pempinelli, Fokas A S, Fokas A S, Kadomtsev B B, M Boiti, Manakov S V, Matveev V B, Novikov S P, Pogrebkov A K, Zakharov V E   +17 more
core   +1 more source

On non-normality and classification of amplification mechanisms in stability and resolvent analysis [PDF]

, 2017
We seek to quantify non-normality of the most amplified resolvent modes and predict their features based on the characteristics of the base or mean velocity profile.
Dawson, Scott T. M., McKeon, Beverley J., Rosenberg, Kevin, Symon, Sean   +3 more
core   +3 more sources

Analysis Of Korteweg-Type Compressible Fluid Model With Slip Boundary Conditions In 3-Dimensional Half-Space

Cauchy: Jurnal Matematika Murni dan Aplikasi
The Korteweg fluid model is typically used to describe the flow of two-phase fluids, where phase transitions occur at the interface, recognized by capillary effects.
Suma Inna, Muhammad Manaqib, Ilman Gifari   +2 more
doaj   +1 more source

Imaging of High‐Risk Neuroblastoma: Recommendations From SIOPEN Radiology and Nuclear Medicine Specialty Committees

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij, Catia Olianti, Herve Brisse, Pier Luigi Di Paolo, Maria Garganese, Tejas Kapadia, Jurgen Schaefer, Hugh Wallace, Simon Wan, Bart de Keizer, Irmina Sefic Pasic, Julian Rogasch   +11 more
wiley   +1 more source

The Resolvent of Impulsive Singular Hahn–Sturm–Liouville Operators

Annales Mathematicae Silesianae
In this study, the resolvent of the impulsive singular Hahn–Sturm– Liouville operator is considered. An integral representation for the resolvent of this operator is obtained.
Allahverdiev Bilender P., Tuna Hüseyin, Isayev Hamlet A.   +2 more
doaj   +1 more source