Results 41 to 50 of about 1,303,815 (271)
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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Well-posedness and stationary solutions [PDF]
, 2011 In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Grinfeld, Michael, Burns, Martin
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One dimensional parabolic free boundary problems [PDF]
, 1975 The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations.
Meyer, G H
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Finite element multistep multideriavative schemes for parabolic equations [PDF]
, 1976 The linear, homogeneous, parabolic equation is solved by applying finite element discretizations in space and A0 —stable, linear multistep, multiderivative (L.M.S.D.) methods in time. Such schemes are unconditionally stable. An error analysis establishes
Moore, P
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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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Bamboo-Slip-Inspired Conformal Reconfigurable Metasurfaces. [PDF]
Adv Sci (Weinh)Bamboo‐slip‐inspired conformal reconfigurable metasurface system. The structure is mainly composed of three parts, which are conformal metasurface, pattern reconfigurable antenna, and control components (such as Field Programmable Gate Array (FPGA)). Conformal metasurfaces draw inspiration from the design of ancient Chinese bamboo slips.
Li Q +9 more
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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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Trudinger's parabolic equation
Discrete and Continuous Dynamical SystemsWe study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} Basic estimates are derived with the Galerkin Method.
Lindqvist, Peter +2 more
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