Results 81 to 90 of about 46,114 (206)

Non-uniqueness of non-extensive entropy under Rényi's recipe [PDF]

In this note I show that Tsallis entropy (Tsallis, 1988) is not unique in the class of non-additive, selfweighted and quasilinear means. A characterization is given which disproves a result in Dukkipati et al. (2005a,b) and Dukkipati et al.
Sönke Hoffmann
core  

Quasilinear elliptic eigenvalue problems

Commentarii Mathematici Helvetici, 1983
A generalized Palais-Smale type compactness condition is applied to prove the existence of critical points of functionals (summation convection) \[ E(u)=frac{1}{2}\int_{\Omega}a^{\alpha \beta}(x,u)\partial_{\alpha}u^ i\partial_{\beta}u^ idx\quad on\quad H_ 0^{1,2}(\Omega,{\mathbb{R}}^ N) \] subject to a nonlinear constraint \(G(u)=1\).
openaire   +2 more sources

Asymptotic behavior of solutions to a degenerate quasilinear parabolic equation with a gradient term

Electronic Journal of Differential Equations, 2015
This article concerns the asymptotic behavior of solutions to the Cauchy problem of a degenerate quasilinear parabolic equations with a gradient term.
Huilai Li, Xinyue Wang, Yuanyuan Nie, Hong He   +3 more
doaj  

The challenge to understand the zoo of particle transport regimes during resonant wave-particle interactions for given survey-mode wave spectra

Frontiers in Astronomy and Space Sciences
Quasilinear theories have been shown to well describe a range of transport phenomena in magnetospheric, space, astrophysical and laboratory plasma “weak turbulence” scenarios.
Oliver Allanson, Oliver Allanson, Oliver Allanson, Donglai Ma, Adnane Osmane, Jay M. Albert, Jacob Bortnik, Clare E. J. Watt, Sandra C. Chapman, Sandra C. Chapman, Sandra C. Chapman, Joseph Spencer, Daniel J. Ratliff, Nigel P. Meredith, Thomas Elsden, Thomas Neukirch, David P. Hartley, Rachel Black, Rachel Black, Nicholas W. Watkins, Nicholas W. Watkins, Sean Elvidge   +21 more
doaj   +1 more source

Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

Boundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
doaj   +1 more source

Two-grid virtual element discretization of quasilinear elliptic problem

Mathematical Modelling and Analysis
In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of a ...
Fengxin Chen, Minghui Yang, Zhaojie Zhou
doaj   +1 more source

A macroscopic quasi linear theory of the garden hose instability [PDF]

Macroscopic quasilinear theory of garden hose ...
Davidson, R. C., Voelk, H. J.
core   +1 more source

Quasilinear elliptic equations in $\RN$ via variational methods and Orlicz-Sobolev embeddings

, 2012
In this paper we prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity
Azzollini, Antonio, d'Avenia, Pietro, Pomponio, Alessio   +2 more
core  

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  

Existence of positive solutions for generalized quasilinear Schrödinger equations with Sobolev critical growth

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we are devoted to establishing that the existence of positive solutions for a class of generalized quasilinear elliptic equations in $\mathbb{R}^{N}$ with Sobolev critical growth, which have appeared from plasma physics, as well as high ...
Nian Zhang, Chuchu Liang
doaj   +1 more source