Results 61 to 70 of about 469,036 (195)
Derivation of Non-isotropic Phase Equations from a General Reaction-Diffusion Equation
, 2000 A non-isotropic version of phase equations such as the Burgers equation, the K-dV-Burgers equation, the Kuramoto-Sivashinsky equation and the Benney equation in the three-dimensional space is systematically derived from a general reaction-diffusion ...
Benney +10 more
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Reaction-diffusion systems with 1-homogeneous non-linearity
Electronic Journal of Differential Equations, 2002 We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the
Matthias Bueger
doaj
An upper bound for the bulk burning rate for systems
, 2000 We consider a system of reaction-diffusion equations with passive advection term and Lewis number not equal to one. Such systems are used to describe chemical reactions in a flow in a situation where temperature and material diffusivities are not equal ...
Kiselev, Alexander, Ryzhik, Leonid
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Biscale Chaos in Propagating Fronts
, 1996 The propagating chemical fronts found in cubic autocatalytic reaction-diffusion processes are studied. Simulations of the reaction-diffusion equation near to and far from the onset of the front instability are performed and the structure and dynamics of ...
A. Arneodo +21 more
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Coupled Reaction-Diffusion Equations
The Annals of Probability, 1991 We consider single equations and systems of reaction-diffusion equations depending on small parameter. These equations are generalizations of the Kolmogorov-Petrovskii-Piskunov equation. Using the large deviation principle, we describe the asymptotic behavior of solutions.
openaire +2 more sources
Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction
Advanced Nonlinear Studies, 2020 We study the self-similar blow-up profiles associated to the following second-order reaction-diffusion equation with strong weighted reaction and unbounded weight:
Iagar Razvan Gabriel, Sánchez Ariel
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Two classes of nonlocal Evolution Equations related by a shared Traveling Wave Problem
, 2017 We consider reaction-diffusion equations and Korteweg-de Vries-Burgers (KdVB) equations, i.e. scalar conservation laws with diffusive-dispersive regularization.
A Chmaj +34 more
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Sliding mode control for a phase field system related to tumor growth
, 2017 In the present contribution we study the sliding mode control (SMC) problem for a diffuse interface tumor growth model coupling a viscous Cahn-Hilliard type equation for the phase variable with a reaction-diffusion equation for the nutrient.
Colli, Pierluigi +3 more
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Modeling NO Biotransport in Brain Using a Space-Fractional Reaction-Diffusion Equation. [PDF]
Front Physiol, 2021 Tamis A, Drapaca CS.
europepmc +1 more source
A modified semi--implict Euler-Maruyama Scheme for finite element discretization of SPDEs with additive noise [PDF]
, 2016 We consider the numerical approximation of a general second order semi--linear parabolic stochastic partial differential equation (SPDE) driven by additive space-time noise. We introduce a new modified scheme using a linear functional of the noise with a
Lord, Gabriel J, Tambue, Antoine
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