Nonclassical Symmetries of a System of Nonlinear Reaction-Diffusion Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04229-6
Abstract: We study the conditional symmetry of a system of nonlinear reaction-diffusion equations and establish the existence of operators of conditional symmetry for systems of nonlinear reaction-diffusion equations with any number of independent variables and find… read more here.
Keywords: diffusion equations; system nonlinear; nonlinear reaction; reaction diffusion ... See more keywords
From nonlinear reaction-diffusion processes to permanent microscale structures.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5089659
Abstract: Biomorphs are polycrystalline aggregates that self-assemble during inorganic precipitation reactions. The shape repertoire of these microstructures include hemispherical objects with complicated internal features such as radial spikes and cones as well as folded sheets reminiscent… read more here.
Keywords: reaction diffusion; reaction; processes permanent; diffusion processes ... See more keywords
Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2018.1478079
Abstract: ABSTRACT The paper considers the blow-up solution for the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: where p>2 and is a bounded convex domain with smooth boundary . By means of constructing auxiliary functions… read more here.
Keywords: boundary conditions; equations nonlinear; diffusion equations; reaction diffusion ... See more keywords
Solution of Nonlinear Reaction-Diffusion Model in Porous Catalysts Arising in Micro-Vessel and Soft Tissue Using a Metaheuristic
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Access"
DOI: 10.1109/access.2022.3168788
Abstract: The steady-state reactive transport model (RTM) is a generalization of the nonlinear reaction-diffusion model in porous catalysts. The RTM is expressed as a non-linear ordinary differential equation of second-order with boundary conditions. Artificial neural network… read more here.
Keywords: model porous; porous catalysts; nonlinear reaction; model ... See more keywords
Trainable Nonlinear Reaction Diffusion: A Flexible Framework for Fast and Effective Image Restoration
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Pattern Analysis and Machine Intelligence"
DOI: 10.1109/tpami.2016.2596743
Abstract: Image restoration is a long-standing problem in low-level computer vision with many interesting applications. We describe a flexible learning framework based on the concept of nonlinear reaction diffusion models for various image restoration problems. By… read more here.
Keywords: image; diffusion; image restoration; reaction diffusion ... See more keywords
Second-Order Conditional Lie-Bäcklund Symmetries and Differential Constraints of Nonlinear Reaction-Diffusion Equations with Gradient-Dependent Diffusivity
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DOI: 10.3390/sym10070267
Abstract: The radially symmetric nonlinear reaction–diffusion equation with gradient-dependent diffusivity is investigated. We obtain conditions under which the equations admit second-order conditional Lie–Bäcklund symmetries and first-order Hamilton–Jacobi sign-invariants which preserve both signs (≥0 and ≤0) on… read more here.
Keywords: order; second order; gradient dependent; reaction diffusion ... See more keywords
On Nonlinear Reaction-Diffusion Model with Time Delay on Hexagonal Lattice
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DOI: 10.3390/sym11060758
Abstract: In the work, a nonlinear reaction-diffusion model in a class of delayed differential equations on the hexagonal lattice is considered. The system includes a spatial operator of diffusion between hexagonal pixels. The main results deal… read more here.
Keywords: time delay; reaction diffusion; nonlinear reaction; diffusion ... See more keywords