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Parabolic time dependent source identification problem with involution and Neumann condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 A time dependent source identification problem for parabolic equation with involution and Neumann condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan
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Multisector Parabolic Equation Method for Scattering From Impenetrable Objects in Fluid Waveguides
IEEE Access, 2021 Parabolic equation methods are a robust and efficient tool for modeling long-range acoustic propagation in range-dependent waveguides. A lesser known, but equally effective, application of parabolic equations is to the scattering problem.
Adith Ramamurti, David C. Calvo
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
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Propagating parabolic rotational beams, new family of accelerated beams [PDF]
EPJ Web of ConferencesA novel class of structured propagating waves with parabolic rotational symmetry is introduced for the first time. These are described by exact solutions of the non-paraxial Helmholtz equation.
Espíndola-Ramos Ernesto +3 more
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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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Fast and Accurate Seismic Computations in Laterally Varying Environments
IEEE Access, 2021 The parabolic equation method provides an unrivaled combination of computational efficiency and accuracy for wave propagation problems in the geosciences in which the environment has strong vertical variations and gradual horizontal variations.
Michael D. Collins +2 more
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Results in Physics, 2019 In this paper, the governing model with the inclusion of parabolic law nonlinearity, weakly non-local nonlinearity in addition to perturbation terms is examined for the sake of uncovering quite important optical soliton solutions.
Anjan Biswas +5 more
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Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space
Abstract and Applied Analysis, 2014 This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial data u0∈L2(ℝ3). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution ...
Xiaomei Hu
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Stability of Stochastic Partial Differential Equations
Axioms, 2023 In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
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Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider the question of existence in Holder class of a solution of an initial-boundary problem for linear parabolic second-degree equation with discontinuous coefficients with a boundary condition and a conjugation condition which are defined by ...
B. I. Kopytko +2 more
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