Applications of Partial Differential Equations

• Format: eBook
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: 2D parabolic equations; acoustic boundary conditions; analytic semigroups; appropriate transformation technique; backward nonlocal wave equation; bacterial motion; biological aggregation; chemotaxis model; CNL-GZE; coinfection; convection diffusion problems; convection–diffusion problem; COVID-19; C∞-semigroups; delay differential equations; diffusion; diffusion equations; energy functional; Eyring–Powell; Faedo–Galerkin method; feedback control; Fourier multipliers; fractional step method; fractional Zakharov system; generalized fractional derivative; generalized linear interpolation; geometric perturbation; global uniform boundedness; integral boundary condition; integral inequality; Jacobi elliptic function method; line discontinuous source term; lump-type solitons; Mathematics and Science; non-linear optimal control; nonlinear damping; nonlinear reaction–diffusion; nonlinear time-varying delay; nonlocal boundary shape function; numerical scheme; optimal condition; optimal decay; parabolic differential equation; Pascal bases automatically satisfying specified conditions; PDE’s stabilization; phototaxis; Reference, Information and Interdisciplinary subjects; Research and information: general; Riccati–Bernoulli sub-ODE method; rogue wave; shallow water flow; Shishkin mesh; singularly perturbed problem; stability; state variable; stochastic Zakharov system; stratified fluids; streamline–diffusion finite element method; time-diffusion problem; traveling waves; travelling waves; tuberculosis; uniformly convergent; unsteady flow; viscoelastic wave equation; Λ-ellipticity
• ISBN: 9783036595641; 3036595643; 3036595651; 9783036595658
• DOI: 10.3390/books978-3-0365-9565-8

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.