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Displaying 321 – 340 of 463

Stability of periodic stationary solutions of scalar conservation laws with space-periodic flux

Anne-Laure Dalibard (2011)

Journal of the European Mathematical Society

This article investigates the long-time behaviour of parabolic scalar conservation laws of the type $\partial_{t} u + {div}_{y} A (y, u) - Δ_{y} u = 0$ , where $y \in ℝ^{N}$ and the flux $A$ is periodic in $y$ . More specifically, we consider the case when the initial data is an $L^{1}$ disturbance of a stationary periodic solution. We show, under polynomial growth assumptions on the flux, that the difference between u and the stationary solution behaves in $L^{1}$ norm like a self-similar profile for large times. The proof uses a time and space change of variables which is...

Stability of periodic waves in Hamiltonian PDEs

Sylvie Benzoni-Gavage, Pascal Noble, L. Miguel Rodrigues (2013)

Journées Équations aux dérivées partielles

Partial differential equations endowed with a Hamiltonian structure, like the Korteweg–de Vries equation and many other more or less classical models, are known to admit rich families of periodic travelling waves. The stability theory for these waves is still in its infancy though. The issue has been tackled by various means. Of course, it is always possible to address stability from the spectral point of view. However, the link with nonlinear stability - in fact, orbital stability, since we are...

Stability of radially symmetric travelling waves in reaction–diffusion equations

Violaine Roussier (2004)

Annales de l'I.H.P. Analyse non linéaire

Stability of solitary wave solutions for equations of short and long dispersive waves.

Angulo Pava, Jaime (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction

M. Colin, Th. Colin, M. Ohta (2009)

Annales de l'I.H.P. Analyse non linéaire

Stability of solitary waves for derivative nonlinear Schrödinger equation

Mathieu Colin, Masahito Ohta (2006)

Annales de l'I.H.P. Analyse non linéaire

Stability of solutions to the Cauchy problem for a plane hyperbolic system with time-periodic coefficients.

RomanovskiJ, R.K., Mendziv, M.V. (2007)

Sibirskij Matematicheskij Zhurnal

Stability of standing waves for nonlinear Schrödinger equations with potentials

Reika Fukuizumi (2003/2004)

Séminaire Équations aux dérivées partielles

Stability of the NLS equation with viscosity effect.

Karjanto, N., Tiong, K.M. (2011)

Journal of Applied Mathematics

Stability of traveling waves and a relation between the Evans function and the SLEP equation.

H. Suzuki, H. Ikeda, Y. Nishiura (1996)

Journal für die reine und angewandte Mathematik

Stability of travelling waves in a model for conical flames in two space dimensions

François Hamel, Régis Monneau, Jean-Michel Roquejoffre (2004)

Annales scientifiques de l'École Normale Supérieure

Stability of vibrations for some Kirchhoff equation with dissipation

Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)

Applications of Mathematics

In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval $[0, T]$ with a tolerance level $γ$ . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force $f$ . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances are insignificant....

Stability on coupling SIR epidemic models with vaccination.

Liu, Helong, Xu, Houbao, Yu, Jingyuan, Zhu, Guangtian (2005)

Journal of Applied Mathematics

Stability properties for quasilinear parabolic equations with measure data

Marie-Françoise Bidaut-Véron, Quoc-Hung Nguyen (2015)

Journal of the European Mathematical Society

Stability properties of non-negative solutions of semilinear symmetric cooperative systems.

Voros, Imre (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stability properties of positive solutions to partial differential equations with delay.

Farkas, Gyula, Simon, Peter L. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stability results for obstacle problems with measure data

Chiara Leone (2005)

Annales de l'I.H.P. Analyse non linéaire

Stability results on age-structured SIS epidemic model with coupling impulsive effect.

Liu, Helong, Xu, Houbao, Yu, Jingyuan, Zhu, Guangtian (2006)

Discrete Dynamics in Nature and Society

Stabilization for a periodic predator-prey system.

Aniţa, Sebastian, Tarniceriu, Carmen Oana (2007)

Abstract and Applied Analysis

Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems

Sachiko Ishida, Tomomi Yokota (2023)

Archivum Mathematicum

This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.

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