11 citations · 27 across the 8 of their papers we have counts for
8 papers
Backward bifurcation arising from decline of immunity against emerging infectious diseases
Shuanglin Jing, Ling Xue, Jichen Yang
Decline of immunity is a phenomenon characterized by immunocompromised host and plays a crucial role in the epidemiology of emerging infectious diseases (EIDs) such as COVID-19. In…
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…
Rotating convection and flows with horizontal kinetic energy backscatter
Paul Holst, Jens D. M. Rademacher, Jichen Yang
Numerical simulations of large scale geophysical flows typically require unphysically strong dissipation for numerical stability. Towards energetic balance various schemes have bee…
Rotating shallow water equations with bottom drag: bifurcations and growth due to kinetic energy backscatter
Artur Prugger, Jens D. M. Rademacher, Jichen Yang
The rotating shallow water equations with f-plane approximation and nonlinear bottom drag are a prototypical model for mid-latitude geophysical flow that experience energy loss thr…
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…