Results 41 to 50 of about 5,372,216 (210)

Strongly quasilinear parabolic systems [PDF]

, 2023
Using the theory of Young measures, we prove the existence of solutions to a strongly quasilinear parabolic system Mathematics Subject Classification (2010): 35K55, 35D30, 46E30 Received 29 April 2020; Accepted 29 June ...
AZROUL, Elhoussine, Elhoussine Azroul, Farah Balaadich, BALAADICH, Farah   +3 more
core   +1 more source

Multiple solutions for a nonhomogeneous quasilinear sub-elliptic system with critical growth and logarithmic perturbation

Demonstratio Mathematica
The interest of this paper is that we use the critical point theory to prove the existence of a sequence of non-trivial solutions for a class of nonhomogeneous quasilinear Sub-elliptic systems with critical growth and logarithmic perturbation.
An Yu-Cheng, An Bi-Jun
doaj   +1 more source

Quasilinear Theory Approximations

مجلة العلوم والدراسات الإنسانية - كلية الآداب والعلوم – المرج
If the instability increases exponentially without any limitation, evidently, this does not reflect the reality and it is therefore necessary to identify a mechanism responsible for the saturation of this instability. The aim of this work is to add such a capability, the first step is to let  vary slowly (compared to the wave period) over time.
A S.Alhasi, A S.Elmabrok
openaire   +1 more source

Existence of Solution for Two Classes of Quasilinear Systems Defined on a Nonreflexive Orlicz–Sobolev Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13324-13360, August 2026.
ABSTRACT This paper proves the existence of nontrivial solution for two classes of quasilinear systems of the type −ΔΦ1u=Fu(x,u,v)+λRu(x,u,v)inΩ−ΔΦ2v=−Fv(x,u,v)−λRv(x,u,v)inΩu=v=0on∂Ω$$ \left\{\begin{array}{l}\hfill -{\Delta}_{\Phi_1}u={F}_u\left(x,u,v\right)+\lambda {R}_u\left(x,u,v\right)\kern0.1832424242424242em \mathrm{in}\kern0.3em \Omega ...
Lucas da Silva, Marco Souto
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity

Symmetry, Integrability and Geometry: Methods and Applications, 2012
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

Quasilinear theory for inhomogeneous plasma

Journal of Plasma Physics, 2022
This paper presents quasilinear theory (QLT) for a classical plasma interacting with inhomogeneous turbulence. The particle Hamiltonian is kept general; for example, relativistic, electromagnetic and gravitational effects are subsumed. A Fokker–Planck equation for the dressed ‘oscillation-centre’ distribution is derived from the Klimontovich equation ...
openaire   +2 more sources

Bidirectional Energy Transfer via Simultaneous Wave‐Particle Resonances in Inhomogeneous Space Plasmas

AGU Advances, Volume 7, Issue 4, August 2026.
Abstract Wave‐particle resonance is a key mechanism for energy transfer in collisionless plasmas with important implications for wave excitation and particle acceleration. Cyclotron resonance occurs when a particle's gyromotion synchronizes with the wave fields, with their interactions usually describable by quasilinear diffusion or nonlinear trapping.
Jing‐Huan Li, Xu‐Zhi Zhou, Shan Wang, Zhi‐Yang Liu, Yuri V. Khotyaintsev, Daniel B. Graham, Qiu‐Gang Zong, Chao Yue, Anton V. Artemyev, Yoshiharu Omura, Si Liu, Li Li, Jie Ren, Zi‐Kang Xie, Yun Yan   +14 more
wiley   +1 more source

Low eigenvalues of the p$p$–Laplacian in general open sets

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco, Luca Briani, Francesca Prinari   +2 more
wiley   +1 more source

On the Validity of Quasilinear Plasma Transport Equations

The Astrophysical Journal
Significant differences regarding their validity and applicability are found for the two variants of the quasilinear transport theory (QLT) for charged particles in partially turbulent electromagnetic fields.
Reinhard Schlickeiser, Martin Kröger
doaj   +1 more source