Results 221 to 230 of about 629,413 (279)

Liouville Theorem and Liouville Equation

Statistical Mechanics for Chemistry and Materials Science, 2018
B. Bagchi
semanticscholar   +2 more sources

Radial symmetry and Liouville theorem for master equations

Fractional Calculus and Applied Analysis, 2023
This paper has two primary objectives. The first one is to demonstrate that the solutions of master equation (∂t-Δ)su(x,t)=f(u(x,t)),(x,t)∈B1(0)×R,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
Lingwei Ma, Ya-Ni Guo, Zhenqiu Zhang
semanticscholar   +1 more source

Liouville theorem of D-solutions to the stationary magnetohydrodynamics system in a slab

Journal of Mathematics and Physics, 2021
In this paper, we study Liouville theorems of D-solutions to the stationary magnetohydrodynamic system in a slab. We will prove trivialness of the velocity and the magnetic field with various boundary conditions.
Xinghong Pan
semanticscholar   +1 more source

Liouville’s Theorem for the Drifting Laplacian

Bulletin of the Malaysian Mathematical Sciences Society, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Chen, Qihua Ruan, Weihua Wang
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Liouville Theorem for Heat Equation Along Ancient Super Ricci Flow Via Reduced Geometry

Journal of Geometric Analysis, 2020
The aim of this article is to provide a Liouville theorem for heat equation along ancient super Ricci flow. We formulate such a Liouville theorem under a growth condition concerning Perelman’s reduced distance.
Keita Kunikawa, Y. Sakurai
semanticscholar   +1 more source

A Liouville Theorem for Stationary Incompressible Fluids of Von Mises Type

Acta Mathematica Scientia, 2018
We consider entire solutions u of the equations describing the stationary flow of a generalized Newtonian fluid in 2D concentrating on the question, if a Liouville-type result holds in the sense that the boundedness of u implies its constancy. A positive
M. Fuchs, J. Müller
semanticscholar   +1 more source

THE LIOUVILLE THEOREM

1998
Abstract This result has a long history. For diffeomorphisms of class C in ℝ Liouville established the result in 1850 [204] along the lines we discussed in the chapter on conformal geometry. The relaxation of the differentiability hypotheses and the local injectivity assumptions are significant steps since the aim is to describe the ...
Tadeusz Iwaniec, Gaven Martin
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A generalization of the Liouville–Arnol'd theorem

Mathematical Proceedings of the Cambridge Philosophical Society, 1995
AbstractWe show that the Liouville-Arnol'd theorem concerning knowledge of involutory first integrals for Hamiltonian systems is available for any system of second order ordinary differential equations. In establishing this result we also provide a new proof of the standard theorem in the setting of non-autonomous, regular Lagrangian mechanics on the ...
Prince, G. E., Byrnes, G. B., Sherring, J., Godfrey, S. E.   +3 more
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A Liouville theorem for the p-Laplacian and related questions

Calculus of Variations and Partial Differential Equations, 2017
We prove several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changing solutions to p-Laplacian equations on RN\documentclass[12pt]{minimal} \usepackage{amsmath ...
A. Farina, C. Mercuri, M. Willem
semanticscholar   +1 more source

Liouville’s Theorem

2014
A complex number α is said to be an algebraic number if there is a non-zero polynomial \(f(x) \in \mathbb{Q}[x]\) such that f(α) = 0. Given an algebraic number α, there exists a unique irreducible monic polynomial \(P(x) \in \mathbb{Q}[x]\) such that P(α) = 0. This is called the minimal polynomial of α.
M. Ram Murty, Purusottam Rath
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