Top PDF Fractional reaction-diffusion problems
Fractional reaction-diffusion problems
... integro-differential reaction-diffusion equations from simple ...the fractional diffusion type, they also prove the convergence of solutions of fractional evolution problem to the ...
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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
... We propose and study a posteriori error estimates for convection–diffusion–reaction prob- lems with inhomogeneous and anisotropic diffusion approximated by weighted interior- penalty discontinuous ...
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Fast propagation in reaction-diffusion equations with fractional diffusion
... Part I of the thesis has been devoted to a rigorous analysis of the asymptotic location of the level sets of the solution to two different problems. In Chapter 1, we have applied our method on a Fisher-KPP model ...
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A new stabilized finite element method for reaction-diffusion problems: The Source Stabilized Petrov-Galerkin Method
... convective-dominated problems and problems in which the singular behavior comes from a large undifferentiated term compared with the second-order ...
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A fractional reaction–diffusion description of supply and demand
... non-Gaussian diffusion is still topical in many different fields such as statistical physics, condensed matter physics or biology – as testified by the present special issue of ...of fractional ...
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Formal validation of asynchronous interaction-agents algorithms for reaction-diffusion problems
... for reaction-diffusion problems that enables interaction with the simulation during the execution, and we establish a mathematical validation for our ...a reaction-agent rep- resents an ...
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An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems
... the reaction part of the ...scalar reaction-diffusion equations, and then illustrate on a few particular examples how the general idea can be adapted to treat ...
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A singular limit in a fractional reaction-diffusion equation with periodic coefficients
... the fractional Laplacian and a constant environment, Cabré and Roquejoffre in [8] proved the front position is exponential in time (see also for instance [11] for some heuristic and numerical works predicting such ...
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Persistence and propagation in periodic reaction-diffusion models
... [25] S. Heinze, Large convection limits for KPP fronts, preprint. [26] J. Huang, W. Shen, Speeds of spread and propagation for KPP models in time almost and space periodic media, SIAM J. Appl. Dyn. Syst. 8 (2009), ...
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Langevin equations for reaction-diffusion processes
... For reaction-diffusion processes with at most bimolecular reactants, we derive well-behaved, numerically-tractable, exact Langevin equations that govern a stochastic variable related to the response field ...
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Asymptotic behaviour of reversible chemical reaction-diffusion equations
... Remark 3 The result obtained in Theorem 3.2 can be of course generalizes in the case when the generator L is just an operator satisfying a spectral gap inequality on the domain considered Ω. For example one can consider ...
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A statistical-reaction-diffusion approach for analyzing expansion processes
... the reaction-diffusion model can be replaced by other types of models such as individual based models (Gross et ...the reaction-diffusion approach was encouraged by computational speed ...
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Shape optimization and spatial heterogeneity in reaction-diffusion equations
... Motivations Reaction-diffusion equations have drawn a lot of attention from the mathematical community over the last decades, but most usually in spatially homogeneous setting, while the lit- erature ...
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State-constrained controllability of linear reaction-diffusion systems
... Our goal in this paper is to state similar results for coupled parabolic systems of the form ( 1.1 ) with internal control. This framework raises several difficulties. Indeed, for boundary control or equations satisfying ...
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The fractional diffusion limit of a kinetic model with biochemical pathway
... ∂ t q + v∇ x q + ∂ y (f (y, S)q) = Λ(y, S)(hqi − q) . (0.1) Here q(t, x, v, y) denotes the probability density function of bacteria at time t, position x ∈ R d , velocity v ∈ V with V the sphere (or the ball) with radius ...
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Multiple-Relaxation-Time Lattice Boltzmann scheme for fractional advection–diffusion equation
... boundary problems associated with space-fractional ...turns problems whose well-posedness is not assessed: solutions do exist but uniqueness apparently depends on how we interpret these boundary ...
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Spreading speeds for one-dimensional monostable reaction-diffusion equations
... homogenization problems and spreading properties for reaction-diffusion ...homogenization problems and on the existence of approximate correctors, a notion which is close to that of ...
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Propagation acceleration in reaction diffusion equations with anomalous diffusions
... monostable type of nonlinearity, see for example [2, 25, 31, 33]. On the other hand, thanks to the work of Fife and Mc Leod [17], and Alfaro [2] we can see that accelerated transitions will never occur when the ...
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Spreading speeds and one-dimensional symmetry for reaction-diffusion equations
... the reaction and for so- lutions emanating from initial conditions with general unbounded support, whereas most of earlier results were concerned with more specific reactions and compactly supported or ...
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Boundary value problems for fractional differential equations
... 5. K. Diethelm and A. D. Freed, On the solution of nonlinear fractional order differen- tial equations used in the modeling of viscoplasticity. In: Scientific Computing in Chem- ical Engineering II-Computational ...
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