Results 61 to 70 of about 145,045 (118)

Intertwining Laplace Transformations of Linear Partial Differential Equations [PDF]

arXiv, 2013
We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in R^n. Practically all previously proposed differential transformations of LPDOs are particular cases of this transformation (intertwining Laplace transformation, ILT).
arxiv  

A Novel Two‐Part Mixture Model for the Incidence and Time Course of Cytokine Release Syndrome After Elranatamab Dosing in Multiple Myeloma Patients

Clinical Pharmacology &Therapeutics, EarlyView.
Cytokine release syndrome (CRS) is a common, acute adverse event associated with T‐cell redirecting therapies such as bispecific antibodies (BsAbs). The nature of CRS events data makes it challenging to capture an unbiased exposure–response relationship with commonly used models.
Donald Irby, Jennifer Hibma, Mohamed Elmeliegy, Diane Wang, Erik Vandendries, Kamrine Poels, Blerta Shtylla, Jason H. Williams   +7 more
wiley   +1 more source

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

Contributions to Plasma Physics, EarlyView.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

Dielectrophoresis Tutorial: Inspired by Hatfield's 1924 Patent and Boltzmann's Theory and Experiments of 1874

ELECTROPHORESIS, EarlyView.
ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
wiley   +1 more source

Middle Laplace transform and middle convolution for linear Pfaffian systems with irregular singularities [PDF]

arXiv
We introduce a transformation of linear Pfaffian systems, which we call the middle Laplace transform, as a formulation of the Laplace transform from the perspective of Katz theory. While the definition of the middle Laplace transform is purely algebraic, its categorical interpretation is also provided.
arxiv  

Coupling Stability and Multi‐Frequency Transient Characteristics of a Variable Speed Pumped Storage Power Station Under Generating Mode

Energy Science &Engineering, EarlyView.
ABSTRACT Coupling stability and multi‐frequency transient characteristics of variable speed pumped storage power station (VSPSPS) under generating mode are main topics of this paper. Firstly, the overall model of VSPSPS is established and the coupling stability analysis of VSPSPS is carried out. Then, multi‐frequency transient characteristics of VSPSPS
Rui Cao, Wencheng Guo
wiley   +1 more source

A High‐Order Hybrid‐Spectral Incompressible Navier–Stokes Model for Non‐Linear Water Waves

International Journal for Numerical Methods in Fluids, EarlyView.
We present a high‐order accurate CFD model for simulating nonlinear water waves using the incompressible Navier–Stokes equations. The model employs a combined Chebyshev–Fourier basis for efficient spatial discretization, and a low‐storage fourth‐order Runge–Kutta method for temporal integration. A Poisson pressure problem is solved using a geometric p$$
Anders Melander, Max Ebstrup Bitsch, Dong Chen, Allan Peter Engsig‐Karup   +3 more
wiley   +1 more source

Regularity and separation for Grušin‐type p‐Laplace operators

Mathematische Nachrichten, EarlyView.
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley   +1 more source

Characterization of Besov spaces with dominating mixed smoothness by differences

Mathematische Nachrichten, EarlyView.
Abstract Besov spaces with dominating mixed smoothness, on the product of the real line and the torus as well as bounded domains, are studied. A characterization of these function spaces in terms of differences is provided. Applications to random fields, like Gaussian fields and the stochastic heat equation, are discussed, based on a Kolmogorov ...
Paul Nikolaev, David J. Prömel, Mathias Trabs   +2 more
wiley   +1 more source

Some Laplace transforms and integral representations for parabolic cylinder functions and error functions [PDF]

arXiv, 2019
This paper uses the convolution theorem of the Laplace transform to derive new inverse Laplace transforms for the product of two parabolic cylinder functions in which the arguments may have opposite sign. These transforms are subsequently specialized for products of the error function and its complement thereby yielding new integral representations for
arxiv