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In this lecture, we will survey the study of dynamics of the nonlinear wave equation in recent years. We refer to some lecture notes including such as C. Kenig \cite{Kenig01,Kenig02}, C. Kenig and F. Merle \cite{KM1} J. Shatah and M. Struwe…

Analysis of PDEs · Mathematics 2017-11-07 Changxing Miao , Jiqiang Zheng

Thin growing tissues (such as plant leaves) can be modelled by a bounded domain $S\subset R^2$ endowed with a Riemannian metric $g$, which models the internal strains caused by the differential growth of the tissue. The elastic energy is…

Soft Condensed Matter · Physics 2014-11-05 Peter Hornung

The proof of a result of J. J. Nieto [3] appeared in "Acta Math, Hung". (1992) concerning the positive solutions of nonlinear problems at resonance is corrected and improved.

Classical Analysis and ODEs · Mathematics 2013-12-23 Faouzi Haddouchi , Slimane Benaicha

Experimental results on hadronic structures are discussed in view of our physics understanding. Achievements and challenges are noted.

High Energy Physics - Experiment · Physics 2007-05-23 Martin Erdmann

We discuss the rheology experiments on nematic elastomers by Martinoty et al. in the light of theoretical models for the long-wavelength low-frequency dynamics of these materials. We review these theories and discuss how they can be…

Soft Condensed Matter · Physics 2009-11-10 Olaf Stenull , T. C. Lubensky

A lecture notes style review of the non-equilibrium statistical mechanics of recurrent neural networks with discrete and continuous neurons (e.g. Ising, graded-response, coupled-oscillators). To be published in the Handbook of Biological…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. C. C. Coolen

arXiv admin note: This paper has been withdrawn by arXiv due to disputed and unverifiable authorship and affiliation

General Relativity and Quantum Cosmology · Physics 2026-02-20 Zhuang Li

We review some recent developments in string theory, emphasizing the importance of vacuum instabilities, their relation to the density of states, and the role of space-time fermions in non-critical string theory. We also discuss the…

High Energy Physics - Theory · Physics 2007-05-23 D. Kutasov

Unlike most synthetic materials, biological materials often stiffen as they are deformed. This nonlinear elastic response, critical for the physiological function of some tissues, has been documented since at least the 19th century, but the…

Soft Condensed Matter · Physics 2009-11-10 Cornelis Storm , Jennifer J. Pastore , Fred C. MacKintosh , Tom C. Lubensky , Paul A. Janmey

Mechanical signaling plays a key role in biological processes like embryo development and cancer growth. One prominent way to probe mechanical properties of tissues is to study their response to externally applied forces. Using a…

Soft Condensed Matter · Physics 2017-04-18 D. A. Matoz-Fernandez , Elisabeth Agoritsas , Jean-Louis Barrat , Eric Bertin , Kirsten Martens

Reply to a comment by T. Rakovszky, F. Pollmann, and C. W von Keyserlingk [arXiv:2010.07969].

Strongly Correlated Electrons · Physics 2021-06-16 Marko Znidaric

Comment on the paper "Novel Convective Instabilities in a Magnetic Fluid" by W. Luo, T. Du, and J. Huang, Phys. Rev. Lett., v.82, p.4134 (1999).

Soft Condensed Matter · Physics 2009-11-07 Mark I. Shliomis

Comment on Phys. Rev. Lett. 86, 2086 (2001)

Strongly Correlated Electrons · Physics 2009-11-07 R. T. Clay , S. Mazumdar

In this short note we amplify our comments on the paper PRL 95,010405 (2005).

General Physics · Physics 2009-11-11 S. C. Tiwari

This is our reply to comment (hep-ph/0206289) on our paper [Phys. Rev. Lett. 89 (2002) 011601].

High Energy Physics - Phenomenology · Physics 2009-11-07 A. V. Kuznetsov , N. V. Mikheev

Theory of nonlinear resonance, including stochastic one, is developed on the basis of the statistical field theory and using variables action-angle. Explicit expressions of action, proper frequency and nonlinearity parameter as functions of…

Statistical Mechanics · Physics 2007-05-23 A. I. Olemskoi

This document is an addendum to "One-point remapping of Lagrangian perturbation theory in the mildly non-linear regime of cosmic structure formation" (arXiv:1305.4642).

Cosmology and Nongalactic Astrophysics · Physics 2015-08-03 Florent Leclercq , Jens Jasche , Benjamin Wandelt

We call attention to a series of mistakes in a paper by S. Nam [JHEP 10 (2000) 044, hep-th/0008083].

High Energy Physics - Theory · Physics 2010-02-03 Luiz C. de Albuquerque , R. M. Cavalcanti

The purpose of this article is to discuss some aspects of the convergence analysis performed in the paper [Design of momentum fractional LMS for Hammerstein nonlinear system identification with application to electrically stimulated muscle…

Optimization and Control · Mathematics 2021-03-23 Abdul Wahab , Shujaat Khan , Farrukh Zeeshan Khan

We reply to David's comment (hep-lat/9504017) on our paper Phys.Rev.Lett. 74(1995)1920.

High Energy Physics - Lattice · Physics 2009-10-28 A. Patrascioiu , E. Seiler