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Applications of Partial Differential Equations

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...

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Format: Online
Sprog:engelsk
Udgivet: MDPI - Multidisciplinary Digital Publishing Institute 2024
Fag:
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
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Online adgang:ONIX_20240108_9783036595641_14
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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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