Results 21 to 30 of about 6,399 (264)
On the Generalized Kinetic Equation for Surface Gravity Waves, Blow-Up and Its Restraint
Fluids, 2018 This article is concerned with the non-linear interaction of homogeneous random ocean surface waves. Under this umbrella, numerous kinetic equations have been derived to study the evolution of the spectral action density, each employing slightly ...
David Andrade +2 more
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Degenerate Multi-Term Equations with Gerasimov–Caputo Derivatives in the Sectorial Case
Mathematics, 2022 The unique solvability for the Cauchy problem in a class of degenerate multi-term linear equations with Gerasimov–Caputo derivatives in a Banach space is investigated.
Vladimir E. Fedorov, Kseniya V. Boyko
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On degenerate linear stochastic evolution equations driven by jump processes [PDF]
Stochastic Processes and their Applications, 2015 We prove the existence and uniqueness of solutions of degenerate linear stochastic evolution equations driven by jump processes in a Hilbert scale using the variational framework of stochastic evolution equations and the method of vanishing viscosity.
Leahy, James-Michael +1 more
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Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions
Open Mathematics, 2017 We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph
Golovaty Yuriy, Flyud Volodymyr
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Linear Inverse Problems for Multi-term Equations with Riemann — Liouville Derivatives
Известия Иркутского государственного университета: Серия "Математика", 2021 The issues of well-posedness of linear inverse coefficient problems for multi-term equations in Banach spaces with fractional Riemann – Liouville derivatives and with bounded operators at them are considered. Well-posedness criteria are obtained both for
M. M. Turov, V.E. Fedorov, B.T. Kien
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Quantum Control of Coherent π-Electron Dynamics in Aromatic Ring Molecules
Frontiers in Physics, 2021 Herein we review a theoretical study of unidirectional π-electron rotation in aromatic ring molecules, which originates from two quasi-degenerate electronic excited states created coherently by a linearly polarized ultraviolet/visible laser with a ...
Hirobumi Mineo +3 more
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Coherently Driven N Number of Degenerate Three-Level Atoms with Parametric Amplifier
Advances in Mathematical Physics, 2020 We have analyzed the squeezing and statistical properties of the cavity light beam produced by a coherently driven degenerate three-level laser with a degenerate parametric amplifier (DPA) in an open cavity and coupled to a vacuum reservoir via a single ...
Tamirat Abebe +2 more
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Numerical treatment for some abstract degenerate second-order evolutionary problem
Results in Applied MathematicsThis paper addresses the numerical analysis of a class of a degenerate second-order evolution equations. We employ a finite element method for spatial discretization and a family of implicit finite difference schemes for time discretization.
Ramiro Acevedo +2 more
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Hypoelliptic Degenerate Evolution Equations of the Second Order
Publications of the Research Institute for Mathematical Sciences, 1975 For degenerate parabolic differential operators, the study of hypoellipticity has been made by many authors (see [1]~[9]). But for degenerate ]?-parabolie differential operators, its study has not been made so detailed (see F. Treves [10]). So we shall give a sufficient condition for the operator given by (0.1) to be hypoelliptic by constructing very ...
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Two-Scale Homogenization of Non-Linear Degenerate Evolution Equations
Journal of Mathematical Analysis and Applications, 1999 Using the notion of two-scale convergence developed by Allaire, the homogenization of a degenerate nonlinear evolution equation with periodically oscillating coefficients is presented. A two-scale homogenized system is obtained as the limit of the periodic problem.
Clark, G.W., Packer, L.A.
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