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Revisiting time-dependent growth and nucleation rates in the Johnson-Mehl-Avrami-Kolmogorov equation. [PDF]

R Soc Open Sci
Shirzad K, Viney C.
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Homogenization of the Higher-Order Parabolic Equations with Periodic Coefficients

Journal of Mathematical Sciences, 2023
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Miloslova, A. A., Suslina, T. A.
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Linear and semilinear higher order parabolic equations in

Nonlinear Analysis: Theory, Methods & Applications, 2012
Abstract In this paper we consider some fourth order linear and semilinear equations in R N and make a detailed study of the solvability of the Cauchy problem. For the linear equation we consider some weakly integrable potential terms, and for any 1 p ∞ prove that for a suitable family of Bessel potential spaces, H p
Jan W. Cholewa, Anibal Rodriguez-Bernal
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Benchmark calculations for higher-order parabolic equations

The Journal of the Acoustical Society of America, 1990
Benchmark solutions generated with parabolic equation (PE) models are presented for range-dependent underwater acoustic propagation problems involving both penetrable and perfectly reflecting ocean bottoms. The solution of the wide-angle PE of Claerbout [J. F. Claerbout, Fundamentals of Geophysical Data Processing (McGraw-Hill, New York, 1976), pp. 206–
M. D. Collins
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Multipoint problem for higher-order parabolic equations in a parallelepiped

Nonlinear Oscillations, 2009
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Ptashnyk, B. I., Tymkiv, I. R.
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Higher-order robust attractors for stochastic retarded degenerate parabolic equations

Stochastic Analysis and Applications, 2022
We study the existence, measurability and time-dependent property of pullback random attractors in the higher-order space for stochastic degenerate parabolic equations with variable delay defined on Rn.
Qiangheng Zhang
semanticscholar   +1 more source

An inverse problem for a higher-order parabolic equation

Mathematical Notes, 1998
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V. Kamynin, FRANCINI, ELISA
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A higher-order parabolic wave equation

The Journal of the Acoustical Society of America, 1987
A higher-order paraboliclike approximation to the wave equation is presented. An implicit finite-difference discretization of the equation is implemented and its stability is discussed. The accuracy of the treatment of wide-angle propagation is examined by comparing computed solutions with exact solutions.
George H. Knightly, Ding Lee, Donald F. St. Mary   +2 more
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Note on a higher order pseudo‐parabolic equation with variable exponents

Mathematical Methods in the Applied Sciences, 2023
In this paper, we study a higher order pseudo‐parabolic equation involving ‐Laplacian with the Navier boundary condition. We use the energy method, the Sobolev embedding inequalities and the Galerkin's approximation to show the classification of singular solutions, including the existence and nonexistence of global, blow‐up, and extinction solutions ...
Bingchen Liu, Yang Li
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