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Towards self-organization of decaying surface corrugations: A numerical study
A numerical study self-organization
2015/12/11
We study numerically the interplay of surface topography and kinetics in the relaxation of crystal
surface corrugations below roughening in two independent space dimensions. The kinetic processes
ar...
Self-organization of decaying surface corrugations:A numerical study
Self-organization decaying surface corrugations numerical study
2015/10/16
We study numerically the interplay of surface topography and kinetics in the relaxation of crystal surface corrugations below roughening in two independent space dimensions. The kinetic processes are ...
A Numerical Study of Turbulent Flame Speeds of Curvature and Strain G-equations in Cellular Flows
Curvature/Strain G-equations Cellular Flows Front Speed Computation Enhancement and Quenching
2012/2/29
We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs) with non-coercive ...
A numerical study of infinitely renormalizable area-preserving maps
renormalizable area-preserving maps numerical study Dynamical Systems
2011/9/14
Abstract: It has been shown in (Gaidashev et al, 2010) and (Gaidashev et al, 2011) that infinitely renormalizable area-preserving maps admit invariant Cantor sets with a maximal Lyapunov exponent equa...
Nonlinear-damping continuation of the nonlinear Schrodinger equation - a numerical study
Nonlinear-damping continuation nonlinear Schrodinger equation Analysis of PDEs
2011/9/13
Abstract: We study the nonlinear-damping continuation of singular solutions of the critical and supercritical NLS. Our simulations suggest that for generic initial conditions that lead to collapse in ...
Dark-Bright Discrete Solitons: A Numerical Study of Existence, Stability and Dynamics
Solitons Dark solitons Discrete Nonlinear Schrodinger equations
2010/12/28
In the present work, we numerically explore the existence and stability properties of di erent types of con gurations of dark-bright solitons, dark-bright soliton pairs
and pairs of dark-bright and d...
Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations
Analysis of PDEs (math.AP) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/11
We first review the known mathematical results concerning the KP type equations. Then we perform numerical simulations to analyze various qualitative properties of the equations : blow-up versus long ...
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation
the blowup/global existence dichotomy the focusing cubic nonlinear Klein-Gordon equation
2010/11/15
We present some numerical findings concerning the nature of the blowup vs. global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation in three dimensions for radial data. The co...