Results 61 to 70 of about 88,801 (291)

On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates

Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 211-322, February 2025.
Abstract Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKEs) for water waves models. This problem has received intense attention in recent years in the context of semilinear models, such as Schrödinger equations or multidimensional KdV‐type equations. However, our situation
Yu Deng, Alexandru D. Ionescu, Fabio Pusateri   +2 more
wiley   +1 more source

Uniqueness of weak solution for nonlinear elliptic equations in divergence form

International Journal of Mathematics and Mathematical Sciences, 2000
We study the uniqueness of weak solutions for quasilinear elliptic equations in divergence form. Some counterexamples are given to show that our uniqueness result cannot be improved in the general case.
Xu Zhang
doaj   +1 more source

Hermite solution for a new fractional inverse differential problem

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.
Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj, Abdelaziz Mennouni, Carlo Cattani   +2 more
wiley   +1 more source

The Existence and Uniqueness Result for a Relativistic Nonlinear Schrödinger Equation

Abstract and Applied Analysis, 2014
We study the existence and uniqueness of positive solutions for a class of quasilinear elliptic equations. This model has been proposed in the self-channeling of a high-power ultrashort laser in matter.
Yongkuan Cheng, Jun Yang
doaj   +1 more source

Some quasilinear elliptic equations involving multiple $p$-Laplacians [PDF]

, 2016
This paper is devoted to the study, with variational technique, of (p,q)-Laplacian equations in presence of general nonlinearities. Especially we obtain the existence result for the zero mass case, which includes a large class of pure power ...
A. Pomponio, Tatsuya Watanabe
semanticscholar   +1 more source

Saturation Characteristics of Multi‐Band EMIC Waves in the Inner Magnetosphere and Observational Evidence for the Second Saturation Process

Geophysical Research Letters, Volume 52, Issue 1, 16 January 2025.
Abstract The wave amplitude is vital for quantifying the impact of electromagnetic ion cyclotron (EMIC) waves on inner magnetospheric dynamics. Previous numerical studies mainly focused on the evolution of total wave energy/amplitude, whose maximum is usually modeled as a function of initial conditions.
Zuxiang Xue, Zhigang Yuan, Dan Deng, Xiongdong Yu   +3 more
wiley   +1 more source

TOPOLOGICAL ASYMPTOTIC ANALYSIS FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS [PDF]

, 2017
International audienceTopological asymptotic expansions for quasilinear elliptic equations have not been studied yet. Such questions arise from the need to apply topological asymptotic methods in shape optimization to nonlinear elasticity equations as in
Amstutz, Samuel, Bonnafé, Alain,
core  

A new critical curve for a class of quasilinear elliptic systems

, 2012
We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given by the $p$-Laplacian operator as well as the mean curvature operator in non
Bidaut-Véron, Bonfiglioli, Busca, Capogna, Caristi, Cîrstea, D’Ambrosio, D’Ambrosio, D’Ambrosio, D’Ambrosio, Farina, Farina, Filippucci, Folland, Folland, Lair, Lorenzo D’Ambrosio, Maly, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Phan, Polacik, Pucci, Serrin, Serrin, Souplet, Stein, Teramoto, Trudinger, Trudinger, Yang, Yarur   +34 more
core   +1 more source

An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations

Electronic Journal of Differential Equations, 2019
In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
doaj