Results 21 to 30 of about 10,334 (309)

Lagrangian flows for vector fields with gradient given by a singular integral [PDF]

, 2013
We prove quantitative estimates on ows of ordinary di erential equations with vector field with gradient given by a singular integral of an L1 function.
Crippa, Gianluca, Bouchut, Francois
core   +1 more source

Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients

, 2013
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE, Natroshvili, D, Chkadua, O   +2 more
core   +1 more source

Flows of singular vector fields and applications to fluid and kinetic equations [PDF]

, 2015
Several physical phenomena arising in fluid dynamics and kinetic equations can be modeled by nonlinear transport PDE. Such quantities are the vorticity of a fluid, or the density of a collection of particles advected by a velocity field which is highly ...
Bohun, Anna
core   +1 more source

Problems with Missing Tricomi Condition and Analog of Frankl Condition for One Class of Mixed Type Equations

Mathematics
In this paper, for a mixed elliptic-hyperbolic type equation with various degeneration orders and singular coefficients, theorems of uniqueness and existence of the solution to the problem with a missing Tricomi condition on boundary characteristic and ...
Assel Makulbay, Mirakhmat Mirsaburov, Abdumauvlen Berdyshev, Gulbakhor Mirsaburova   +3 more
doaj   +1 more source

To the solution of one pseudo-Volterra integral equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev, M.I. Ramazanov, M.T. Kosmakova, A.O. Tanin   +3 more
doaj   +1 more source

An Algorithm for the Solution of Integro-Fractional Differential Equations with a Generalized Symmetric Singular Kernel

Fractal and Fractional
This work studies an integro-fractional differential equation (I-FrDE) with a generalized symmetric singular kernel. The scientific approach in this study was to transform the integro-differential equation (I-DE) into a mixed integral equation (MIE) with
Sameeha A. Raad, Mohammed A. Abdou
doaj   +1 more source

An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

Fractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim, Mohamed A. Abdou, Mohamed E. Nasr, Mohamed A. Abdel-Aty   +3 more
doaj   +1 more source

An unexpected alternative viologen electron mediator site in tungsten‐containing formate dehydrogenase

FEBS Letters, EarlyView.
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley   +1 more source

Reduction of Boundary Value Problem to Possio Integral Equation in Theoretical Aeroelasticity

Journal of Applied Mathematics, 2008
The present paper is the first in a series of works devoted to the solvability of the Possio singular integral equation. This equation relates the pressure distribution over a typical section of a slender wing in subsonic compressible air flow to the ...
A. V. Balakrishnan, M. A. Shubov
doaj   +1 more source

Microbiome−host proteostasis crosstalk—An emerging perspective on mechanisms and interventions toward healthy longevity

FEBS Letters, EarlyView.
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley   +1 more source