Results 61 to 70 of about 15,169 (314)
Cauchy problem for the hyperbolic system with mixed derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
E. A. Kozlova
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
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Remark on the analyticity of the fractional Fokker-Planck equation
Advances in Nonlinear AnalysisIn this note, we study the Cauchy problem of the fractional Fokker-Planck equation. We prove that the solution to the Cauchy problem enjoys the analytic smoothing effect with an L2{L}^{2} initial datum for positive time, and the evolution of the analytic
Xu Yan, Yang Keshun, Zhang Jianzhong
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The Cauchy problem for singularly perturbed higher-order integro-differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova +3 more
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Some Properties of Blow up Solutions in the Cauchy Problem for 3D Navier–Stokes Equations [PDF]
, 2020 В. И. Семенов
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Batteries &Supercaps, EarlyView.Electrochemical–mechanical coupling in a 3D‐resolved microstructure of a solid‐state battery electrode. In all‐solid‐state batteries (ASSBs), the mechanical stress generated during electrode (de)lithiation plays a critical role in determining the cell longevity because of the induced degradation mechanisms.
Siwar Ben Hadj Ali +4 more
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Singular integral equations with Cauchy kernels [PDF]
Transactions of the American Mathematical Society, 1946 Not ...
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Optimization of 3D‐Printed Structured Packings—Current State and Future Developments
Chemie Ingenieur Technik, EarlyView.This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke +3 more
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The Cauchy Functional Equations in Distributions [PDF]
Proceedings of the American Mathematical Society, 1989 The Pompeiu functional equation is defined by Neagu for Schwartz distributions. His method is extended to the four Cauchy functional equations by means of two new operators Q ∗ {Q^*} and R ∗ {R^*} on D
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The Canadian Journal of Chemical Engineering, EarlyView.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
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