Rarefaction waves in nonlocal convection-diffusion equations

• Autorzy: Anna Pudełko
• Języki publikacji: EN

Abstrakty

EN

We consider a nonlocal convection-diffusion equation $u_t = J*u - u - uu_x$, where J is a probability density. We supplement this equation with step-like initial conditions and prove the convergence of the corresponding solutions towards a rarefaction wave, i.e. a unique entropy solution of the Riemann problem for the inviscid Burgers equation.

Kategorie tematyczne

• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 137
• Numer: 1
• Strony: 27-42

Daty

wydano

2014

Twórcy

autor

Anna Pudełko

• AGH University of Science and Technology, Al. Mickiewicza 30, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/cm137-1-3