11 citations · 27 across the 8 of their papers we have counts for
5 papers · 1 filter
Fractional Dissipative PDEs
Franz Achleitner, Goro Akagi, Christian Kuehn +4
In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics. The class of PDEs we…
The stability of smooth solitary waves for the -family of Camassa-Holm equations
Ji Li, Changjian Liu, Teng Long +1
The -family of Camassa-Holm (-CH) equation is a one-parameter family of PDEs, which includes the completely integrable Camassa-Holm and Degasperis-Procesi equations but posse…
The impact of advection on the stability of stripes on lattices near planar Turing instabilities
Jichen Yang, Jens D. M. Rademacher, Eric Siero
Striped patterns are known to bifurcate in reaction-diffusion systems with differential isotropic diffusions at a supercritical Turing instability. In this paper we study the impac…
The impact of advection on large-wavelength stability of stripes near planar Turing instabilities
Jichen Yang, Jens D. M. Rademacher, Eric Siero
It is well known that for reaction-diffusion systems with differential isotropic diffusions, a Turing instability yields striped solutions. In this paper we study the impact of wea…
Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates
Jichen Yang, Jens D. M. Rademacher
The modelling of linear and nonlinear reaction-subdiffusion processes is more subtle than normal diffusion and causes different phenomena. The resulting equations feature a spatial…