Results 21 to 30 of about 1,287,488 (289)
On the structure and origin of pressure fluctuations in wall turbulence: predictions based on the resolvent analysis [PDF]
, 2014 We generate predictions for the fluctuating pressure field in turbulent pipe flow by re-formulating the resolvent analysis of McKeon & Sharma (2010) in terms of the so-called primitive variables. Under this analysis, the nonlinear convective terms in
Luhar, M., Sharma, A.S., McKeon, B.J.
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Fractal and Fractional, 2023 In this paper, we studied the Hölder regularities of solutions to an abstract fractional differential equation, which is regarded as an abstract version of fractional Rayleigh–Stokes problems, rising up to describing a non-Newtonian fluid with a Riemann ...
Jiawei He, Guangmeng Wu
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Maximal Regularity of the Discrete Harmonic Oscillator Equation
Advances in Difference Equations, 2009 We give a representation of the solution for the best approximation of the harmonic oscillator equation formulated in a general Banach space setting, and a characterization of lp-maximal regularity—or well posedness—solely in terms of R ...
Airton Castro +2 more
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Dirichlet problem for second-order abstract differential equations
Electronic Journal of Differential Equations, 2020 We study the well-posedness in the space of continuous functions of the Dirichlet boundary value problem for a homogeneous linear second-order differential equation u''+Au = 0, where A is a linear closed densely defined operator in a Banach space. We
Giovanni Dore
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A Resolvent Approach to Metastability [PDF]
, 2023 We provide a necessary and sufficient condition for the metastability of a Markov chain, expressed in terms of a property of the solutions of the resolvent equation.
Landim, C. +5 more
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Differential resolvents of minimal order and weight
International Journal of Mathematics and Mathematical Sciences, 2004 We will determine the number of powers of α that appear with nonzero coefficient in an α-power linear differential resolvent of smallest possible order of a univariate polynomial P(t) whose coefficients lie in an ordinary differential field and whose ...
John Michael Nahay
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Unique solvability of boundary value problem for functional differential equations with involution [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign ...
K.Zh. Nazarova, K.I. Usmanov
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Integral resolvent for Volterra equations and Favard spaces
Issues of Analysis, 2022 The authors study the Volterra integral equation \[ x(t)=x_0 + \int_0^t a(t-s) Ax(s)\, ds,\quad t\geq 0, \] in a Banach space \(X\), where \(a\in L^1_{\text{loc}}(\mathbb R^+)\) and \(A\) is a densely define closed operator in \(X\). The integral resolvent associated with this equation is a strongly continuous family \(R(t)\) of bounded operators such ...
A. Fadili, F. Maragh
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Powersum formula for polynomials whose distinct roots are differentially independent over constants
International Journal of Mathematics and Mathematical Sciences, 2002 We prove that the author's powersum formula yields a nonzero expression for a particular linear ordinary differential equation, called a resolvent, associated with a univariate polynomial whose coefficients lie in a differential field of characteristic ...
John Michael Nahay
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Bounded and multiperiodic solutions of the system of partial integro-differential equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova +3 more
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