[PDF] Top 20 Reaction-diffusion equations in a noncylindrical thin domain

... to reaction-diffusion equations on time-dependent domains, in this paper we are concerned with reaction-diffusion equa- tions in a time-dependent thin ...perturbed reaction-diffusion ... See full document

... For a parabolic–hyperbolic equation, how to impose a suitable partial boundary value condition to ensure the well-posedness of the entropy solutions is a very interesting prob- lem. This problem can be traced back to ... See full document

... The paper is organized as follows. Section 2 defines some boundary layer functions associated with each side of the polygon ∂Ω and some corner layer functions associated with each vertex of ∂Ω. The boundary layer ... See full document

... computational domain, both overshoots and undershoots are larger for the linear ...crosswind diffusion was outperformed, with respect to the quality of the computed solution, by the nonlinear method with ˜ ... See full document

... growing domain was developed in [3]. In addition, reaction diffusion equations modeling predator-prey interactions have been paid attention and studied extensively [4] [5] ... See full document

... of domain introduces a major difficulty for proving the existence of an attrac- tor because Sobolev embedding theorem is no longer compact and so the asymptotic compactness of solutions cannot be obtained by the ... See full document

... Although our model is based on patient-specific geometries and we achieve a satisfac- tory agreement with patient-measured flow data, some of the simplifications made in this study must be underlined. In this study we ... See full document

... This equation arises naturally as a continuum limit of certain interacting particle systems (see [32] ) In [34], the author considered this equation on domain R, not on [0, L]. He proved that for any continuous ... See full document

... Non-local reaction–diffusion systems have applications concerned with thermal prop- erties of visco-elastics and materials that have ...evolution equations, a discussion of their advantages and drawbacks, ... See full document

... study the continuous dependence on ε of the solutions to problem 1.3, in particular we show that the solutions of the nonclassical diffusion equations converge to the solution of the classical ... See full document

... significant reaction–diffusion equation, used to display the transmission of nerve driving forces ...infinite domain as suggested by Fisher [13] as a model for the spatial transient propagation of a virile ... See full document

... Abstract—This work employs the Homotopy Perturbation Method (HPM) to develop an approximate analytical solution for a Fuzzy Partial Differential Equations (FPDE). The method is applied to calculate the solution of ... See full document

... [12] , Semilinear wave equations, Partial Differential Equations and Related Topics (Program, Tulane Univ., New Orleans, La, 1974) (J. A. Goldstein, ed.), Lecture Notes in Math., vol. 446, Springer, Berlin, ... See full document

... the equations obtained this way follow necessarily from the original differential equations in the weakly curved frame, but this line of reasoning is mathematically different in spirit from the usual ... See full document

... some reaction-diffusion equations with a nonlinear convection term have been theoretically studied by many authors (see [3], [6], [7], [8], [9], [24], [25], [26] and the references cited ... See full document

... stirred reaction exhibits nearly periodic temporal oscillations in redox potential and in the concentration of many species, including bromide ion, that can persist for an hour or more even in a closed system like ... See full document

... 16. Faria, T: Asymptotic stability for delayed logistic type equations. Math. Comput. Model. 43, 433-445 (2006) 17. Györi, I, Trofimchuk, S: Global attractivity in x (t) = – δ x(t) + pf(x(t – τ )). Dyn. Syst. Appl. ... See full document

... f () =  = f (), meaning that no reaction is present if the gene is completely spread or not spread at all into the population. Accordingly, we will be interested in monotone traveling waves connecting  (at –∞) ... See full document

... The author in [18] studied the corresponding steady stats problem on annulus with a< 0 . Moreover in [26], the author studied the corresponding steady stats problem of Eq 2 , with a ≥ 0 and estabilshes some existence ... See full document

... Faster than linear scaling (α > 1) is referred to as super-diffusion and slower than linear scaling (0 < α < 1) is referred to as sub-diffusion. In recent years the additional motivation for these ... See full document