AbstractUsing two models that incorporate a nonlinear forward-backward heat equation, we demonstrate the existence of well-defined weak solutions containing shocks for diffusive problems. Occurrence of shocks is connected to multivalued inverse solutions and nonmonotone potential functions. Unique viscous solutions are determined from perturbation theory by matching to a shock layer condition. Results of direct numerical simulations are also discussed
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
AbstractUsing two models that incorporate a nonlinear forward-backward heat equation, we demonstrate...
We discuss in this paper equations describing processes involving non-linear and higher-order diffus...
We illustrate an alternative derivation of the viscous regulariza- tion of a nonlinear forward-backw...
We illustrate an alternative derivation of the viscous regulariza- tion of a nonlinear forward-backw...
The nonlinear diffusion model introduced by Perona and Malik (1990 IEEE Trans. Pattern Anal. Mach. I...
The nonlinear diffusion model introduced by Perona and Malik (1990 IEEE Trans. Pattern Anal. Mach. I...
The system of nonlinear hyperbolic equations of shallow water flow over an obstacle yields different...
We study the gradient flow associated with the functional F-phi(u) := 1/2 integral(I) phi(u(x)) dx, ...
We study the gradient flow associated with the functional F-phi(u) := 1/2 integral(I) phi(u(x)) dx, ...
Abstract: The nonlinear diffusion model introduced by Perona and Malik in 1990 is well suited to pre...
AbstractA number of physical situations, including chemical reactions, electrical heating, and fluid...
We study the gradient flow associated with the functional F-phi(u) := 1/2 integral(I) phi(u(x)) dx, ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
AbstractUsing two models that incorporate a nonlinear forward-backward heat equation, we demonstrate...
We discuss in this paper equations describing processes involving non-linear and higher-order diffus...
We illustrate an alternative derivation of the viscous regulariza- tion of a nonlinear forward-backw...
We illustrate an alternative derivation of the viscous regulariza- tion of a nonlinear forward-backw...
The nonlinear diffusion model introduced by Perona and Malik (1990 IEEE Trans. Pattern Anal. Mach. I...
The nonlinear diffusion model introduced by Perona and Malik (1990 IEEE Trans. Pattern Anal. Mach. I...
The system of nonlinear hyperbolic equations of shallow water flow over an obstacle yields different...
We study the gradient flow associated with the functional F-phi(u) := 1/2 integral(I) phi(u(x)) dx, ...
We study the gradient flow associated with the functional F-phi(u) := 1/2 integral(I) phi(u(x)) dx, ...
Abstract: The nonlinear diffusion model introduced by Perona and Malik in 1990 is well suited to pre...
AbstractA number of physical situations, including chemical reactions, electrical heating, and fluid...
We study the gradient flow associated with the functional F-phi(u) := 1/2 integral(I) phi(u(x)) dx, ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
Reaction–diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete ...
DOI
Add to ORKG