Influence of Competitive C–P Segregation on Austenite Grain Growth in Iron Alloys
This study investigates how carbon influences phosphorus‐induced solute drag effects during isothermal annealing of austenite grain growth in Fe–C–P alloys. Using in situ high‐temperature laser scanning confocal microscopy and density functional theory simulations, it demonstrates that carbon above a critical temperature significantly reduces P ...
Maximilian Kern +4 more
wiley +1 more source
Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity
For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem.
Sergey I. Senashov, Alexander Yakhno
doaj +1 more source
Controllability of nonlocal impulsive stochastic quasilinear integrodifferential systems
Sufficient conditions for controllability of nonlocal impulsive stochastic quasilinear integrodifferential systems in Hilbert spaces are established. The results are obtained by using evolution operator, semigroup theory and fixed point technique.
R. Sathya, K. Balachandran
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Quasilinear theory of inhomogeneous magnetized plasmas [PDF]
The quasilinear equations are derived for an inhomogeneous magnetized plasma without using the random phase approximation and the expansion in the ratio of the Larmor radius to the inhomogeneity scale. The equations take into account both resonant and nonresonant interactions, and possess the necessary conservation properties.
Yasseen, F., Vaclavik, J.
openaire +2 more sources
Diffusion Coefficients for Resonant Relativistic Wave‐Particle Interactions Using the PIRAN Code
Abstract Quasilinear diffusion coefficients can be used to model the response of charged particles to resonant wave‐particle interactions. The calculation of these coefficients is sufficiently complicated and arduous to render it prohibitive to many potential users, because of the expense in time spent developing the code.
Oliver Allanson +12 more
wiley +1 more source
Dynamic theory of quasilinear parabolic systems [PDF]
[For part I see Nonlinear Anal., Theory Methods Appl. 12, No.9, 895-919 (1988; Zbl 0666.35043). Part II (to appear).] We consider quasilinear reaction-diffusion systems of the form \[ (*)\quad \partial_ tu-\partial_ j(a_{jk}(x,t,u)\partial_ ku)=f(x,u,\partial u) \] together with natural (nonlinear) boundary conditions, where u is vector valued.
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Phase‐Space Synchronization Driven by Moon‐Magnetosphere Coupling in Gas Giants
Abstract We present a new theoretical framework to describe the rapid and spatially localized loss of energetic particles in planetary radiation belts, focusing on interactions between gas giant magnetospheres and their moons. Observations show that flux depletions—known as microsignatures—often refill on timescales comparable to a single drift period,
Adnane Osmane +2 more
wiley +1 more source
Quasilinear Theory for Relativistic Particles [PDF]
Quasilinear theory is developed by using canonical variables for relativistic particles. It is self-consistent, including momentum, pitch-angle, and spatial diffusions. By assuming the wave field is a superposition of known toroidal and poloidal Fourier modes, the quasilinear diffusion coefficients are written in a form which can be directly evaluated ...
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Trade costs, infrastructure, and dynamics in a global economy
Abstract This study develops a dynamic two‐country model with trade costs linked to international infrastructure stock. With variable markups and firm heterogeneity, the welfare impact of trade costs depends on firms' cost distribution. Governments engage in a dynamic public investment game, leading to multiple steady states. The dynamic equilibrium of
Akihiko Yanase
wiley +1 more source
Liouville properties for differential inequalities with (p,q)$(p,q)$ Laplacian operator
Abstract In this paper, we establish several Liouville‐type theorems for a class of nonhomogenenous quasilinear inequalities. In the first part, we prove various Liouville results associated with nonnegative solutions to Ps$P_s$ −Δpu−Δqu⩾us−1inΩ,$$\begin{equation} -\Delta _p u-\Delta _q u\geqslant u^{s-1} \, \text{ in }\, \Omega, \end{equation}$$where ...
Mousomi Bhakta +2 more
wiley +1 more source

