Applications of Partial Differential Equations

• Other Authors: Wong, Patricia J. Y. (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2023
• Subjects: Research & information: general; Mathematics & science; 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; 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

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 inves...