Results 71 to 80 of about 2,643 (218)

Weighted function spaces of fractional derivatives for vector fields

Electronic Journal of Differential Equations, 2007
We introduce and study weighted function spaces for vector fields from the point of view of the regularity theory for quasilinear subelliptic PDEs.
Andras Domokos
doaj  

Influence of Competitive C–P Segregation on Austenite Grain Growth in Iron Alloys

steel research international, Volume 97, Issue 3, Page 1432-1443, March 2026.
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, Michael Bernhard, Daniel Scheiber, Matthias Militzer, Christian Bernhard   +4 more
wiley   +1 more source

Well-posedness and stationary solutions

, 2011
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Grinfeld, Michael, Burns, Martin
core  

Diffusion Coefficients for Resonant Relativistic Wave‐Particle Interactions Using the PIRAN Code

Earth and Space Science, Volume 13, Issue 3, March 2026.
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, Thomas Kappas, James Tyrrell, Gregory S. Cunningham, Matthew Brown, Adrian Garcia, Clare Watt, Suman Chakraborty, Daniel Ratliff, Jonathan Rae, Sarah Bentley, Sean Elvidge, David Themens   +12 more
wiley   +1 more source

Existence results for quasilinear parabolic hemivariational inequalities

, 2008
This paper is devoted to the periodic problem for quasilinear parabolic hemivariational inequalities at resonance as well as at nonresonance. By use of the theory of multi-valued pseudomonotone operators, the notion of generalized gradient of Clarke and ...
Liu, Zhenhai
core   +1 more source

Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions

Electronic Journal of Differential Equations, 2009
We prove the existence and uniqueness of mild solutions of quasilinear integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. Examples are
Krishnan Balachandran, Francis Paul Samuel   +1 more
doaj  

Lie-transform derivation of oscillation-center quasilinear theory

Fundamental Plasma Physics
The derivation of the oscillation-center quasilinear theory in an unmagnetized plasma by Dewar (1973) is rederived by Lie-transform perturbation method.
Alain J. Brizard
doaj   +1 more source

Reformulation of quasi-linear theory [PDF]

Journal of Plasma Physics, 1972
A new formulation of quasi-linear theory is presented, which allows for only resonant diffusion, caused by both growing and damped waves. Nonresonant terms do not appear in the diffusion equation, but contribute to wave momentum and energy, and ensure conservation of total momentum and energy.
openaire   +2 more sources

Phase‐Space Synchronization Driven by Moon‐Magnetosphere Coupling in Gas Giants

Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.
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, Elias Roussos, Peter Kollmann   +2 more
wiley   +1 more source

A Fredholm alternative for quasilinear elliptic equations with right-hand side measure

Advances in Nonlinear Analysis, 2016
We consider a quasilinear elliptic equation with right-hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory
Colturato Michele, Degiovanni Marco
doaj   +1 more source