Results 81 to 90 of about 261,560 (199)

Homogeneous Rank One Perturbations and Inverse Square Potentials [PDF]

, 2019
Following [D,BDG,DR], I describe several exactly solvable families of closed operators. Some of these families are defined by the theory of singular rank one perturbations. The remaining families are Schrodinger operators with inverse square potentials and various boundary conditions. I describe a close relationship between these families.
openaire   +2 more sources

Multi-interval Sturm–Liouville boundary-value problems with distributional potentials

Доповiдi Нацiональної академiї наук України
We study the multi-interval boundary-value Sturm–Liouville problems with distributional potentials. For the corresponding symmetric operators boundary triplets are found and the constructive descriptions of all self-adjoint, maximal dissipative and ...
A. S. Goriunov
doaj   +1 more source

Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition

, 2015
We consider the $3D$ spatially homogeneous Boltzmann equation for (true) hard and moderately soft potentials. We assume that the initial condition is a probability measure with finite energy and is not a Dirac mass. For hard potentials, we prove that any
Fournier, Nicolas
core   +4 more sources

On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
The article considers a homogeneous boundary - value problem for the heat equation in the non - cylindrical domain, namely, in an inverted pyramid with a vertex at the origin of coordinates, two faces of which lie in coordinate planes.A solution to the ...
M.T. Kosmakova, V.G. Romanovski, D.M. Akhmanova, Zh.M. Tuleutaeva, A.Yu. Bartashevich   +4 more
doaj  

A list of all integrable 2D homogeneous polynomial potentials with a polynomial integral of order at most 4 in the momenta

, 2001
We searched integrable 2D homogeneous polynomial potential with a polynomial first integral by using the so-called direct method of searching for first integrals.
Arnold V I, Baider A, Churchill R C, Dorizzi B, Grammaticos B, Haruo Yoshida, Hietarinta J, Katsuya Nakagawa, Kruskal M D, Kruskal M D, Morales-Ruiz J J, Morales-Ruiz J J, Morales-Ruiz J J, Morales-Ruiz J J, van der Waerden B L, Wolfram S, Ziglin S L, Ziglin S L   +17 more
core   +1 more source

Dynamics of Cosmological Scalar Fields Revisited

Universe
This paper reviews the dynamics of a single isotropic and homogeneous scalar field φ(t) in the context of cosmological models. A non-standard approach to the solution of the Einstein–Klein–Gordon equations is described which uses the scalar field as the ...
Jan-Willem van Holten
doaj   +1 more source

The puzzling problem of water properties at low temperature. An experimentalist view.

Substantia, 2019
Water is at once the most familiar substance, the one for which we have the most data, and a liquid with anomalous properties that make it unique. Many theoretical models provide explanations for the abnormal behaviour of water.
José Teixeira
doaj   +1 more source

Some properties of WKB series

, 1999
We investigate some properties of the WKB series for arbitrary analytic potentials and then specifically for potentials $x^N$ ($N$ even), where more explicit formulae for the WKB terms are derived.
Andrews G E, Balian R, Bender C M, Fedoryuk M V, Fröman N, Fröman N, Graham R L, Marko Robnik, Robnik M, Robnik M, Robnik M, Romanovski V, Romanovski V, Romanovski V G, Romanovski V G, Romanovski V G, Romanovski V G, Salasnich L, Sidorov Yu V, Valery G Romanovski, Voros A   +20 more
core   +2 more sources

Structural elucidation of two homogeneous polysaccharides from Xuanfei Baidu granules and their anti-inflammatory and anti-oxidative potentials

Carbohydrate Polymer Technologies and Applications
Polysaccharide is a major but previously undescribed bioactive ingredient in Xuanfei Baidu granules (XBG), despite its importance as one of the recommended therapeutic drugs targeting COVID-19 infection in Chinese medicinal system.
Xiao-Xue Sun, Yu-Heng Zhao, Jing-Yun Shi, Ru-Shang He, Li-Hua Zhang, Yan-Fei Niu, Min Zhang, Hui-Juan Yu, Yue-Fei Wang, Shan Huang, Hong-Hua Wu   +10 more
doaj   +1 more source

Mesoscopic theory for inhomogeneous mixtures

, 2010
Mesoscopic density functional theory for inhomogeneous mixtures of sperical particles is developed in terms of mesoscopic volume fractions by a systematic coarse-graining procedure starting form microscopic theory.
A. Ciach, Amit DJ, Brazovskii SA, Hansen J, Podneks VE, Yukhnovskii I, Yukhnovskii IR   +6 more
core   +1 more source