Results 31 to 40 of about 5,428 (96)

Stability analysis for combustion fronts traveling in hydraulically resistant porous media [PDF]

, 2014
We study front solutions of a system that models combustion in highly hydraulically resistant porous media. The spectral stability of the fronts is tackled by a combination of energy estimates and numerical Evans function computations.
Ghazaryan, Anna, Lafortune, Stephane, McLarnan, Peter   +2 more
core  

Reduced-order Description of Transient Instabilities and Computation of Finite-Time Lyapunov Exponents

, 2017
High-dimensional chaotic dynamical systems can exhibit strongly transient features. These are often associated with instabilities that have finite-time duration.
Arnold V. I., George Haller, Hessam Babaee, Mohamad Farazmand, Themistoklis P. Sapsis   +4 more
core   +1 more source

A Finite Element Computation of the Gravitational Radiation emitted by a Point-like object orbiting a Non-rotating Black Hole

, 2005
The description of extreme-mass-ratio binary systems in the inspiral phase is a challenging problem in gravitational wave physics with significant relevance for the space interferometer LISA.
A. Bayliss, Carlos F. Sopuerta, E. Poisson, G. Strang, H. M. Hilber, I. Babuška, J. Chung, J. Stoer, K. Kokkotas, N. N. Newmark, O. C. Zienkiewicz, P. G. Ciarlet, Pablo Laguna, S. Chandrasekhar, S. Chandrasekhar, S. Vitale, T. Prince, T. J. R. Hughes, W. H. Press   +18 more
core   +1 more source

Beyond Inflation: A Cyclic Universe Scenario

, 2004
Inflation has been the leading early universe scenario for two decades, and has become an accepted element of the successful `cosmic concordance' model. However, there are many puzzling features of the resulting theory.
Seinhardt, Paul J., Turok, Neil
core   +1 more source

An $hp$-Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems

, 2016
In this paper we develop an $hp$-adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1d, with possible singular perturbations. Our approach combines both a prediction-type adaptive Newton method and an
Amrein, Mario, Melenk, Jens M., Wihler, Thomas P.   +2 more
core   +1 more source

Stability and the Gauge Problem in Non-Perturbative Cosmology

, 2018
In this paper, we describe the first steps towards fully non-perturbative cosmology. We explain why the conventional methods used by cosmologists based on the ADM formulation are generally inadequate for this purpose and why it is advantageous instead to
Ijjas, Anna, Pretorius, Frans, Steinhardt, Paul J.   +2 more
core   +1 more source

Nonlinear PDEs with modulated dispersion I: Nonlinear Schr\"odinger equations [PDF]

, 2015
We start a study of various nonlinear PDEs under the effect of a modulation in time of the dispersive term. In particular in this paper we consider the modulated non-linear Schr\"odinger equation (NLS) in dimension 1 and 2 and the derivative NLS in ...
Chouk, K., Gubinelli, M.
core  

Exploring highly dispersive optical solitons and modulation instability in nonlinear Schrödinger equations with nonlocal self phase modulation and polarization dispersion. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
europepmc   +1 more source

Novel solitons in the (2+1)-dimensional Heisenberg spin chain via generalized conformable derivatives. [PDF]

Sci Rep
Alam BE, Morales-Luna G, Fernandez-Anaya G.   +2 more
europepmc   +1 more source

Nonlinear dynamics of self-sustaining waves in anisotropic media. [PDF]

Sci Rep
Khater MMA, Alfalqi SH, Vokhmintsev A.
europepmc   +1 more source