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三亚国际数学论坛：PDE Models and Nonlinear Waves in Fluids and Plasmas
三亚国际数学论坛 PDE Models and Nonlinear Waves in Fluids and Plasmas
2017/7/3
Incompressible and compressible fluids pose many important mathematical physics problems, which are crucial to understand the practical problems from gas dynamics, weather forecast, ocean waves and th...
We analyze the refocusing properties of time reversed waves that propagate in two different media during the forward and backward stages of a time-reversal experiment. We consider two regimes of wave ...
Existence of pulsating waves in a model of flames in sprays
pulsating waves model of flames in sprays
2015/7/14
A one-dimensional system describing the propagation of low Mach number flames in sprays is studied. We show that pulsating waves may exist when the droplet distribution in the unburnt region is spatia...
TRAVELING WAVES IN 2D REACTIVE BOUSSINESQ SYSTEMS WITH NO-SLIP BOUNDARY CONDITIONS
TRAVELING WAVES 2D REACTIVE BOUSSINESQ SYSTEMS NO-SLIP BOUNDARY CONDITIONS
2015/7/14
We consider systems of reactive Boussinesq equations in two dimensional strips that are not aligned with gravity s direction. We prove that for any width of such strips and for arbitrary Rayleigh and ...
Traveling waves for the Keller-Segel system with Fisher birth terms
Chemotaxis Traveling waves Keller-Segel system Reaction diffusion systems Nonlinear stability
2015/7/14
We consider the traveling wave problem for the one dimensional Keller-Segel system with a birth term of either a Fisher/KPP type or with a truncation for small population densities. We prove that ther...
Traveling waves in a one-dimensional heterogeneous medium
Traveling waves one-dimensional heterogeneous medium
2015/7/14
We consider solutions of a scalar reaction-diffusion equation of the ignition type with a random, stationary and ergodic reaction rate. We show that solutions of the Cauchy problem spread with a deter...
The non-local Fisher-KPP equation:traveling waves and steady states
non-local Fisher-KPP equation traveling waves steady states
2015/7/14
We consider the Fisher-KPP equation with a nonlocal saturation effect defined through an interaction kernel φ(x) and investigate the possible differences with the standard Fisher-KPP equation. Our fir...
This paper reviews several mathematical techniques that have been developed to analyze the asymptotic behavior of waves and particles propagating in a heterogeneous medium. The heterogeneous medium is...
Waves in weakly random media:lecture notes for the Vienna Inverse Problems school
weakly random media Vienna Inverse Problems
2015/7/14
Wave propagation in complex media is an ubiquitous phenomenon–applications include light propagation through the atmosphere, underwater acoustic, tomography, and innumerable other ones. These problems...
Standing waves with critical frequency for nonlinear Schrodinger equations
Standing waves critical frequency nonlinear Schrodinger equations
2015/4/3
Standing waves with critical frequency for nonlinear Schrodinger equations.
Energy in Gravitational Waves.
Stability of solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity
solitary waves nonlinear Dirac equation arbitrary nonlinearity
2014/10/10
We consider the nonlinear Dirac equation in 1+1 dimension with scalar-scalar self interaction g 2κ +1 (ΨΨ)ˉ κ +1 and with mass m. Using the exact analytic form for rest frame solitary waves of the for...
GLOBAL SOLUTIONS FOR THE GRAVITY WATER WAVES SYSTEM IN 2D
GLOBAL SOLUTIONS THE GRAVITY WATER WAVES SYSTEM 2D
2014/4/3
We consider the gravity water waves system in the case of a one dimensional interface, for suf- ficiently smooth and localized initial data, and prove global existence of small solutions. This i...
Explicit analytic solution for the nonlinear ion sound waves equation
Homotopy Analysis Method Plasma Physics
2010/9/21
In this article, we use an ecient analytical method called homotopy analysis method (HAM) to derive an approximate solution of nonlinear ion sound waves equation. Actually, we solved Korteweg-de Vrie...
The linear stability of traveling waves to the compound Kdv-Burgers equation
compound Kdv-Burgers equation inear stability
2010/9/21
Herein the traveling waves of compound Kdv-Burgers are considered,.with the help of an analytic function D(λ), the traveling wave is stable.