Results 11 to 20 of about 41,570 (295)
, 2022 This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required ...
Seifert, Christian +2 more
core +6 more sources
Examples of Evolutionary Equations [PDF]
, 2021 AbstractThis chapter is devoted to a small tour through a variety of evolutionary equations. More precisely, we shall look into the equations of poro-elastic media, (time-)fractional elasticity, thermodynamic media with delay as well as visco-elastic media. The discussion of these examples will be similar to that of the examples in the previous chapter
Christian Seifert +2 more
openaire +2 more sources
Axioms, 2021 It was shown that from the mathematical physics equations that are composed of the conservation laws equations for energy, momentum, angular momentum, and mass and describe material media such as thermodynamical, gas-dynamical, cosmic, and others, it ...
Ludmila Petrova
doaj +2 more sources
Exponential Stability of Evolutionary Equations [PDF]
, 2021 AbstractIn this chapter we study the exponential stability of evolutionary equations. Roughly speaking, exponential stability of a well-posed evolutionary equation $$\displaystyle \left (\partial _{t,\nu }M(\partial _{t,\nu })+A\right )U=F $$ ∂
Christian Seifert +2 more
openaire +2 more sources
Irradiation of media by transient field: analytical solving of the problem
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електроніка, 2022 Background. Application of transient electromagnetic waves for the remote sensing problems is perspective because of large information capacity of these fields and ability to penetrate into the medium with losses deeply.
D. I. Havrylenko +2 more
doaj +1 more source
Asymptotic Motion of a Satellite under the Action of Sdot Magnetic Attitude Control
Aerospace, 2022 Satellite angular motion under the action of the Sdot one-axis magnetic control algorithm is analyzed. Sdot control stabilizes the maximum moment of inertia axis towards the Sun.
Dmitry Roldugin +2 more
doaj +1 more source
Evolutionary equations and constraints: Maxwell equations [PDF]
Journal of Mathematical Physics, 2019 By fixing a reference frame in spacetime, it is possible to split the Euler-Lagrange equations associated with a degenerate Lagrangian into purely evolutionary equations and constraints on the allowed Cauchy data with respect to the notion of space and time associated with the given reference frame.
F. M. Ciaglia +3 more
openaire +3 more sources
Estimates for evolutionary partial differential equations in classical function spaces
Forum of Mathematics, Sigma, 2023 We establish new local and global estimates for evolutionary partial differential equations in classical Banach and quasi-Banach spaces that appear most frequently in the theory of partial differential equations.
Alejandro J. Castro +3 more
doaj +1 more source
Solution Theory for Evolutionary Equations [PDF]
, 2021 AbstractIn this chapter, we shall discuss and present the first major result of the manuscript: Picard’s theorem on the solution theory for evolutionary equations which is the main result of Picard (A structural observation for linear material laws in classical mathematical physics. In Mathematical Methods in the Applied Sciences, vol 32, 2009, pp 1768–
Christian Seifert +2 more
openaire +1 more source
The Journal of Engineering, 2021 In this paper, the Volterra differential equations governing on the predator‐prey dynamics is numerically solved through the combination of evolutionary algorithms with Moving Least Squares as well as the Finite Difference Method.
Mohammad Javad Mahmoodabadi
doaj +1 more source