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