Results 71 to 80 of about 14,259 (205)

Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces

, 2015
Convergence results are shown for full discretizations of quasilinear parabolic partial differential equations on evolving surfaces. As a semidiscretization in space the evolving surface finite element method is considered, using a regularity result of a
Adams, Akrivis, Atkinson, Brenner, Cahn, Cahn, Chaplain, Chen, Dahlquist, Deckelnick, Dedner, Douglas, Du, Dziuk, Dziuk, Dziuk, Dziuk, Dziuk, Dziuk, Dziuk, Ecker, Elliott, Elliott, Elliott, Elliott, Fife, Gilbarg, Hairer, Hairer, Jin, Leung, Lubich, Lubich, Lubich, Madzvamuse, Mansour, Nevanlinna, Persson, Strang, Thomée, Wheeler   +40 more
core   +1 more source

Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
wiley   +1 more source

Existence of solutions for quasilinear elliptic equations involving a nonlocal term

Electronic Journal of Differential Equations, 2015
This article establishes the existence of solutions for a partial differential equation involving a quasilinear elliptic operator and a nonlocal term.
Maria Farcaseanu, Denisa Stancu-Dumitru
doaj  

Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition

Mathematics
In this work, we study a nonlocal boundary value problem for a quasilinear elliptic equation. Using the method of regularization and parameter continuation, we prove the existence and uniqueness of a regular solution to the nonlocal boundary value ...
Serik Aitzhanov, Bakytbek Koshanov, Aray Kuntuarova   +2 more
doaj   +1 more source

Strong Unique Continuation for Solutions of a p(x)-Laplacian Problem

International Journal of Mathematics and Mathematical Sciences, 2012
We study the strong unique continuation property for solutions to the quasilinear elliptic equation -div(|∇u|p(x)-2∇u)+V(x)|u|p(x)-2u=0  in  Ω where V(x)∈LN/p(x)(Ω), Ω is a smooth bounded domain in ℝN, and ...
Johnny Cuadro, Gabriel López
doaj   +1 more source

Existence and Uniqueness of Solutions for the p(x)-Laplacian Equation with Convection Term

Mathematics, 2020
In this paper, we consider the existence and uniqueness of solutions for a quasilinear elliptic equation with a variable exponent and a reaction term depending on the gradient.
Bin-Sheng Wang, Gang-Ling Hou, Bin Ge
doaj   +1 more source

Association of Relativistic Electron Microbursts Duration With Chorus Wave Properties

Geophysical Research Letters, Volume 52, Issue 8, 28 April 2025.
Abstract Relativistic electron microbursts are correlated with resonant scattering by whistler‐mode chorus waves. Here, we use chorus wave properties obtained from Van Allen Probe A to calculate the duration of relativistic microbursts. A detailed quantitative comparison between observed and calculated microburst durations shows consistent ranges and ...
Jiabei He, Lunjin Chen, Zhiyang Xia, Mykhaylo Shumko, Lauren Blum   +4 more
wiley   +1 more source

Separable solutions of quasilinear Lane-Emden equations [PDF]

, 2011
For $0 < p-1 < q$ and $\ge=\pm 1$, we prove the existence of solutions of $-\Gd_pu=\ge u^q$ in a cone $C_S$, with vertex 0 and opening $S$, vanishing on $\prt C_S$, under the form $u(x)=|x|^\gb\gw(\frac{x}{|x|})$.
Alessio Porretta, Laurent Véron, Tor Vergata, Università Roma, Université François Rabelais   +4 more
core   +3 more sources

Effects of Fine Spectral Structure of Chorus Emissions on Nonlinear Scattering and Acceleration of Radiation Belt Electrons

Journal of Geophysical Research: Space Physics, Volume 130, Issue 4, April 2025.
Abstract Whistler‐mode chorus waves play a crucial role in accelerating electrons in Earth's outer radiation belt to relativistic and ultrarelativistic energies. While this electron evolution is typically modeled using a diffusion approximation for scattering, high‐amplitude chorus waves induce nonlinear resonant effects that challenge this approach on
Miroslav Hanzelka, Yuri Shprits, Dedong Wang, Bernhard Haas, Ondřej Santolík, Longzhi Gan   +5 more
wiley   +1 more source

The Impact of Plasma Density Gradients on Lower Band Chorus Wave Propagation

Geophysical Research Letters, Volume 52, Issue 6, 28 March 2025.
Abstract Plasma density gradients, such as those that occur on plasmaspheric plume boundaries, have been shown to increase the obliquity of lower band chorus. Here, for the first time, this relationship is investigated more generally by considering the wave normal angle, θk ${\theta }_{k}$, as a function of the magnitude of all observed density ...
D. P. Hartley, L. Chen, W. Gu, I. W. Christopher, O. Santolik   +4 more
wiley   +1 more source