Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity

نویسندگان

چکیده

<p style='text-indent:20px;'>We consider in this paper a diffusion-convection reaction equation one space dimension. The main assumptions are about the term, which is monostable, and diffusivity, changes sign once or even more than once; then, we deal with forward-backward parabolic equation. Our results concern existence of globally defined traveling waves, connect two equilibria cross both regions where diffusivity positive it negative. We also investigate monotony profiles show appearance sharp behaviors at points degenerates. In particular, if such interior points, then new unusual.</p>

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On degenerate saturated-diffusion equations with convection

We study a class of degenerate parabolic convection–diffusion equations, endowed with a mechanism for saturation of the diffusion flux, which corrects the unphysical gradient-flux relations at high gradients. This paper extends our previous works on the effects of diffusion with saturation on convection and the impact of saturation on porous media-type diffusion, where it has been demonstrated ...

متن کامل

Monotone Wavefronts for Partially Degenerate Reaction-Diffusion Systems

This paper is devoted to the study of monotone wavefronts for cooperative and partially degenerate reaction-diffusion systems. The existence of monostable wavefronts is established via the vector-valued upper and lower solutions method. It turns out that the minimal wave speed of monostable wavefronts coincides with the spreading speed. The existence of bistable wavefronts is obtained by the va...

متن کامل

The discontinuous Galerkin method for fractional degenerate convection-diffusion equations

We propose and study discontinuous Galerkin methods for strongly degenerate convection-diffusion equations perturbed by a fractional diffusion (Lévy) operator. We prove various stability estimates along with convergence results toward properly defined (entropy) solutions of linear and nonlinear equations. Finally, the qualitative behavior of solutions of such equations are illustrated through n...

متن کامل

Metastable Dynamics of Convection-diffusion-reaction Equations

Metastable dynamics, which qualitatively refers to physical processes that involve an extremely slow approach to their nal equilibrium states, is often associated with singularly perturbed convection-di usion-reaction equations. A problem exhibits metastable behavior when the approach to equilibrium occurs on a time-scale of order O(eC" ), where C > 0 and " is the singular perturbation paramete...

متن کامل

A Note on Viscous Splitting of Degenerate Convection-diffusion Equations

We establish L convergence of a viscous splitting method for nonlinear possibly strongly degenerate convection-di usion problems. Since we allow the equations to be strongly degenerate, solutions can be discontinuous and they are not, in general, uniquely determined by their data. We thus consider entropy weak solutions realized by the vanishing viscosity method. This notion is broad enough to ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems

سال: 2021

ISSN: ['1553-5231', '1078-0947']

DOI: https://doi.org/10.3934/dcds.2021105