Results 11 to 20 of about 11,370,086 (322)

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

Perturbation theory of evolution inclusions on real Hilbert spaces with quasi-variational structures for inner products [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2022
We consider an abstract Cauchy problem of an evolution inclusion with a singlevalued perturbation on a real Hilbert space. The evolution inclusion contains subdifferentials of time-dependent, proper, lower semicontinuous, convex functions which depends
Akio Ito
doaj  

Ultra-analytic effect of Cauchy problem for a class of kinetic equations [PDF]

open access: yes, 2009
The smoothing effect of the Cauchy problem for a class of kinetic equations is studied. We firstly consider the spatially homogeneous non linear Landau equation with Maxwellian molecules and inhomogeneous linear Fokker-Planck equation to show the ultra ...
Morimoto, Yoshinori, Xu, Chao-Jiang
core   +3 more sources

Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations [PDF]

open access: yes, 2015
Motivated by applications to vortex rings, we study the Cauchy problem for the three-dimensional axisymmetric Navier-Stokes equations without swirl, using scale invariant function spaces.
T. Gallay, V. Sverák
semanticscholar   +1 more source

Cauchy problem for the system of the general hyperbolic differential equations of the forth order with nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum [PDF]

open access: yes, 2015
Two-dimensional barotropic compressible magnetohydrodynamic equations with shear and bulk viscosities being a positive constant and a power function of the density, respectively, are considered.
Boqiang Lv, Bingkang Huang
semanticscholar   +1 more source

Singularly perturbed linear oscillator with piecewise-constant argument

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2018
The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet   +3 more
doaj   +1 more source

Analytic Solutions of Equation for Random Evolution on a Complex Plane

open access: yesAustrian Journal of Statistics, 2023
We discuss a generalization of Goldstein-Kac model on a complex plane and apply probabilistic approach to construct solutions of the corresponding Cauchy problem for complex-analytic initial conditions.
Igor Samoilenko   +2 more
doaj   +1 more source

The Cauchy problem for a system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Explicit solution of Cauchy problem for the linearized system of phase field equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
The explicit solution of Cauchy problem for the linearized system of phase field equations is received by reduction it to the abstract Cauchy problem in Banach space.
Kh. G. Umarov
doaj   +3 more sources

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