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1

Global attractors and convergence to equilibrium for degenerate Ginzburg–Landau and parabolic equations

Nikos I. Karachalios, Nikos B. Zographopoulos

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2005

Language:

english

File:

PDF, 229 KB

english, 2005

2

Global attractor for the weakly damped driven Schrödinger equation in $ H^2 (mathbb{R}) $

Nikos I. Karachalios, Nikos M. Stavrakakis

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2002

Language:

english

File:

PDF, 204 KB

english, 2002

3

On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence

Nikos I. Karachalios, Nikos B. Zographopoulos

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2006

Language:

english

File:

PDF, 551 KB

english, 2006

4

Global existence and compact attractors for the discrete nonlinear Schrödinger equation

Nikos I. Karachalios, Athanasios N. Yannacopoulos

Journal:

Journal of Differential Equations

Year:

2005

Language:

english

File:

PDF, 414 KB

english, 2005

5

Existence of a Global Attractor for Semilinear Dissipative Wave Equations on RN

Nikos I. Karachalios, Nikos M. Stavrakakis

Journal:

Journal of Differential Equations

Year:

1999

Language:

english

File:

PDF, 188 KB

english, 1999

6

A sharp estimate and change on the dimension of the attractor for singular semilinear parabolic equations

Nikos I. Karachalios, Nikos B. Zographopoulos

Journal:

Archiv der Mathematik

Year:

2008

Language:

english

File:

PDF, 198 KB

english, 2008

7

A REMARK ON THE EXISTENCE OF BREATHER SOLUTIONS FOR THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION IN INFINITE LATTICES: THE CASE OF SITE-DEPENDENT ANHARMONIC PARAMETERS

Karachalios, Nikos I.

Journal:

Proceedings of the Edinburgh Mathematical Society

Year:

2006

Language:

english

File:

PDF, 201 KB

english, 2006

8

Regularity of nonvanishing â at infinity or at the boundary â solutions of the defocusing nonlinear ShrÃ¶dinger equation

Gialelis, Nikolaos, Karachalios, Nikos I., Stratis, Ioannis G.

Journal:

Communications in Partial Differential Equations

Year:

2020

File:

PDF, 3.33 MB

2020

9

GLOBAL EXISTENCE IN INFINITE LATTICES OF NONLINEAR OSCILLATORS: THE DISCRETE KLEIN-GORDON EQUATION

KARACHALIOS, NIKOS I.

Journal:

Glasgow Mathematical Journal

Year:

2006

Language:

english

File:

PDF, 162 KB

english, 2006

10

Parametric exponential energy decay for dissipative electron-ion plasma waves

Nikos I. Karachalios, Nikos M. Stavrakakis, Pavlos Xanthopoulos

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2005

Language:

english

File:

PDF, 250 KB

english, 2005

11

The semiflow of a reaction diffusion equation with a singular potential

Nikos I. Karachalios, Nikolaos B. Zographopoulos

Journal:

manuscripta mathematica

Year:

2009

Language:

english

File:

PDF, 380 KB

english, 2009

12

A remark on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg–Landau equation

Karachalios, Nikos. I.

Journal:

Journal of Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 359 KB

english, 2009

13

Immunological and molecular detection of human immunodeficiency virus in saliva, and comparison with blood testing

Christos Yapijakis, Vassilis Panis, Nikos Koufaliotis, Georgia Yfanti, Stefanos Karachalios, Anastasia Roumeliotou, Zacharias Mantzavinos

Journal:

European Journal of Oral Sciences

Year:

2006

Language:

english

File:

PDF, 156 KB

english, 2006

14

[Nonlinear Systems and Complexity] Localized Excitations in Nonlinear Complex Systems Volume 7 ||

Carretero-González, Ricardo, Cuevas-Maraver, Jesús, Frantzeskakis, Dimitri, Karachalios, Nikos, Kevrekidis, Panayotis, Palmero-Acebedo, Faustino

Year:

2014

Language:

english

File:

PDF, 21.72 MB

english, 2014

15

The existence of a global attractor for the discrete nonlinear Schrödinger equation. II. Compactness without tail estimates in $\mathbb{Z}^N$, $N\geq1$, lattices

Karachalios, Nikos I., Yannacopoulos, Athanasios N.

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2007

Language:

english

File:

PDF, 176 KB

english, 2007

16

Weyl’s Type Estimates on the Eigenvalues of Critical Schrödinger Operators

Nikos I. Karachalios

Journal:

Letters in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 157 KB

english, 2008

17

[Nonlinear Systems and Complexity] Localized Excitations in Nonlinear Complex Systems Volume 7 || Solitons and Their Ghosts in $$\mathcal{P}\mathcal{T}$$ -Symmetric Systems with Defocusing Nonlinearities

Carretero-González, Ricardo, Cuevas-Maraver, Jesús, Frantzeskakis, Dimitri, Karachalios, Nikos, Kevrekidis, Panayotis, Palmero-Acebedo, Faustino

Year:

2014

Language:

english

File:

PDF, 1.76 MB

english, 2014

18

Self-trapping transition for a nonlinear impurity within a linear chain

Yue, Haitian, Molina, Mario I., Kevrekidis, Panayotis G., Karachalios, Nikos I.

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 610 KB

english, 2014

19

Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation

Karachalios, Nikos, Stavrakakis, Nikos, Xanthopoulos, Pavlos

Journal:

Abstract and Applied Analysis

Year:

2003

Language:

english

File:

PDF, 1.89 MB

english, 2003

20

[Nonlinear Systems and Complexity] Localized Excitations in Nonlinear Complex Systems Volume 7 || Stability of Mode-Locked Kinks in the AC Driven and Damped Sine-Gordon Lattice

Carretero-González, Ricardo, Cuevas-Maraver, Jesús, Frantzeskakis, Dimitri, Karachalios, Nikos, Kevrekidis, Panayotis, Palmero-Acebedo, Faustino

Year:

2014

Language:

english

File:

PDF, 963 KB

english, 2014

21

[Nonlinear Systems and Complexity] Localized Excitations in Nonlinear Complex Systems Volume 7 || Travelling Waves in Nonlinear Magnetic Metamaterials

Carretero-González, Ricardo, Cuevas-Maraver, Jesús, Frantzeskakis, Dimitri, Karachalios, Nikos, Kevrekidis, Panayotis, Palmero-Acebedo, Faustino

Year:

2014

Language:

english

File:

PDF, 383 KB

english, 2014

22

[Nonlinear Systems and Complexity] Localized Excitations in Nonlinear Complex Systems Volume 7 || Wave Modes Trapped in Rotating Nonlinear Potentials

Carretero-González, Ricardo, Cuevas-Maraver, Jesús, Frantzeskakis, Dimitri, Karachalios, Nikos, Kevrekidis, Panayotis, Palmero-Acebedo, Faustino

Year:

2014

Language:

english

File:

PDF, 660 KB

english, 2014

23

[Nonlinear Systems and Complexity] Localized Excitations in Nonlinear Complex Systems Volume 7 || Fragmentation of a Bose-Einstein Condensate Through Periodic Modulation of the Scattering Length

Carretero-González, Ricardo, Cuevas-Maraver, Jesús, Frantzeskakis, Dimitri, Karachalios, Nikos, Kevrekidis, Panayotis, Palmero-Acebedo, Faustino

Year:

2014

Language:

english

File:

PDF, 488 KB

english, 2014

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