Applications of Partial Differential Equations

doi:10.3390/books978-3-0365-9565-8

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Applications of Partial Differential Equations

Edited by

December 2023

274 pages

ISBN978-3-0365-9564-1 (Hardback)
ISBN978-3-0365-9565-8 (PDF)

https://doi.org/10.3390/books978-3-0365-9565-8

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This book is a reprint of the Special Issue Applications of Partial Differential Equations that was published in

Computer Science & Mathematics

Engineering

Physical Sciences

Public Health & Healthcare

Summary

Partial differential equations are indispensable for modeling various phenomena and processes, such as those in physics, biology, finance, and engineering. Finding solutions to partial differential equations using qualitative theories or quantitative methods, as well as the application of such investigations to real-world problems, has drawn a large amount of interest from researchers.

This reprint encompasses all the articles that were accepted and published in this Special Issue titled "Applications of Partial Differential Equations ". We hope that these accepted and published papers will be impactful and motivate future research on partial differential equations for solving complex problems in various fields, disciplines, and applications.

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Keywords

non-linear optimal control; stratified fluids; energy functional; optimal condition; state variable; travelling waves; Eyring–Powell; geometric perturbation; nonlinear reaction–diffusion; unsteady flow; C^∞-semigroups; analytic semigroups; Fourier multipliers; Λ-ellipticity; fractional Zakharov system; stochastic Zakharov system; Riccati–Bernoulli sub-ODE method; Jacobi elliptic function method; generalized fractional derivative; time-diffusion problem; generalized linear interpolation; numerical scheme; backward nonlocal wave equation; Pascal bases automatically satisfying specified conditions; integral boundary condition; nonlocal boundary shape function; delay differential equations; 2D parabolic equations; fractional step method; convection diffusion problems; shallow water flow; Faedo–Galerkin method; feedback control; PDE’s stabilization; tuberculosis; COVID-19; diffusion; coinfection; stability; singularly perturbed problem; parabolic differential equation; convection–diffusion problem; line discontinuous source term; streamline–diffusion finite element method; Shishkin mesh; uniformly convergent; diffusion equations; traveling waves; phototaxis; bacterial motion; biological aggregation; chemotaxis model; energy functional; integral inequality; global uniform boundedness; CNL-GZE; lump-type solitons; rogue wave; appropriate transformation technique; optimal decay; viscoelastic wave equation; nonlinear time-varying delay; nonlinear damping; acoustic boundary conditions