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flux-limited diffusion (96) 96
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Progress in Nuclear Energy, ISSN 0149-1970, 08/2015, Volume 83, pp. 59 - 72
Normal diffusion process is quite valid for media without production and absorption. In these media particles move by scattering reaction and mean square... 
Neutron fractional diffusion equation | Flux limited diffusion coefficient | Non-local gradient | Anomalous diffusion | NUCLEAR SCIENCE & TECHNOLOGY | Analysis | Nuclear facilities | Neutron flux | Mathematical analysis | Media | Nuclear reactor components | Nuclear power generation | Mathematical models | Nuclear reactors | Diffusion
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 04/2011, Volume 250, Issue 8, pp. 3311 - 3348
In this paper we give a characterization of the notion of entropy solutions of some flux limited diffusion equations for which we can prove that the solution... 
Flux limited diffusion equations | Rankine–Hugoniot conditions | Entropy solutions | Rankine-Hugoniot conditions | MATHEMATICS | DEGENERATE PARABOLIC EQUATIONS | REGULARITY | RELATIVISTIC HEAT-EQUATION | UNIQUENESS
Journal Article
Annales de l'Institut Henri Poincaré / Analyse non linéaire, ISSN 0294-1449, 01/2013, Volume 30, Issue 1, pp. 141 - 155
In this paper we study the existence and qualitative properties of traveling waves associated with a nonlinear flux limited partial differential equation... 
Traffic flow | Relativistic heat equation | Traveling waves | Optimal mass transportation | Nonlinear reaction–diffusion | KPP | Entropy solutions | Flux limited | Singular traveling waves | Biomathematics | Complex systems | Nonlinear reaction-diffusion | MATHEMATICS, APPLIED | MODEL | SPEED | FRONTS | TRANSPORT | DYNAMICS | PROPAGATION | Analysis | Differential equations
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 12/2013, Volume 93, pp. 236 - 272
We prove some regularity results for solutions of some flux limited diffusion equations of porous media type for Lipschitz initial data (or assuming a uniform... 
Flux limited diffusion equations | Entropy solutions | Porous media equations | Bernstein’s method | Bernstein's method | MATHEMATICS | DEGENERATE PARABOLIC EQUATIONS | MATHEMATICS, APPLIED | QUASI-LINEAR EQUATION | UNIQUENESS | Diffusion rate | Mathematical analysis | Uniqueness | Media | Flux | Nonlinearity | Diffusion | Regularity
Journal Article
Publicacions Matemàtiques, ISSN 0214-1493, 1/2013, Volume 57, Issue 1, pp. 155 - 217
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 20, pp. 7548 - 7566
► An existing multigroup transport algorithm is extended to be second-order in time. ► A new algorithm is presented that does not require a grey acceleration... 
Second order | Multigroup | Radiation transport | Radiation diffusion | Flux-limited diffusion | SCHEME | TEMPORAL ACCURACY | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL
Journal Article
High Energy Density Physics, ISSN 1574-1818, 03/2017, Volume 22, Issue C, pp. 12 - 16
Uncertainty quantification and sensitivity analyses are a vital component for predictive modeling in the sciences and engineering. The adjoint approach to... 
Flux limited diffusion | Sensitivity analysis | Adjoint | Radiative diffusion | PHYSICS, FLUIDS & PLASMAS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2011, Volume 230, Issue 20, pp. 7548 - 7566
An existing solution method for solving the multigroup radiation equations, linear multifrequency-grey acceleration, is here extended to be second order in... 
Second order | Multigroup | Flux-limited diffusion | Radiation diffusion | Radiation transport
Journal Article
Discrete and Continuous Dynamical Systems, ISSN 1078-0947, 12/2011, Volume 31, Issue 4, pp. 1151 - 1195
We prove existence and uniqueness of entropy solutions of the Cauchy problem for the quasilinear parabolic equation u(t) = div a(u, Du) with initial condition... 
Degenerate parabolic equations | Flux Limited Diffusion | Nonlinear semigroup | MATHEMATICS | MATHEMATICS, APPLIED | REGULARITY | QUASI-LINEAR EQUATION | nonlinear semigroup | OPERATORS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 10/2007, Volume 226, Issue 2, pp. 1332 - 1347
Journal Article
Publ. Mat, 2013, Volume 57, Issue no. 1, pp. 144 - 217
We study a class of generalized porous media type flux limited diffusion equations and we prove the existence and uniqueness of entropy solutions. We compute... 
nonlinear semigroup | 35K15 | flux limited diffusion | Degenerate parabolic equations | 35K55 | 35K65
Journal Article
Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 2000, Volume 64, Issue 6, pp. 619 - 634
Full transport solutions of time-dependent problems can be computationally very expensive. Therefore, considerable effort has been devoted to developing... 
Eddington factors | P1/3 approximation | P1 approximation | Diffusion | Time-dependent radiation transport | Radiation transport | Flux-limited diffusion | Diffusion P | Flux-limited diffusion Eddington factors | approximation | approximation P
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2007, Volume 226, Issue 1, pp. 1181 - 1195
Journal Article
International Journal of Computational Fluid Dynamics, ISSN 1061-8562, 01/1995, Volume 4, Issue 3-4, pp. 171 - 218
Journal Article
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, ISSN 0022-4073, 03/2000, Volume 64, Issue 6, pp. 619 - 634
Full transport solutions of time-dependent problems can be:computationally very expensive. Therefore, considerable effort has been devoted to developing... 
flux-limited diffusion | diffusion | Eddington factors | SPECTROSCOPY | time-dependent radiation transport | radiation transport | P-1 approximation | P-1/3 approximation
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2009, Volume 228, Issue 8, pp. 3072 - 3083
Using polynomials to represent the angular variation of the radiation intensity is usually referred to as the P or spherical harmonics method. For infinite... 
Second order | method | Flux-limited diffusion | Radiation diffusion | Radiation transport
Journal Article
Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 2007, Volume 104, Issue 1, pp. 116 - 132
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 2010, Volume 248, Issue 10, pp. 2528 - 2561
In this paper we study a Fisher–Kolmogorov type equation with a flux limited diffusion term and we prove the existence and uniqueness of finite speed moving... 
Flux limited diffusion equations | Reaction–diffusion equations | Entropy solutions | Front propagation | Reaction-diffusion equations | MATHEMATICS | QUASI-LINEAR EQUATION | FRONT | REACTION-DIFFUSION SYSTEM | TRAVELING-WAVES
Journal Article
Advances in Nonlinear Analysis, ISSN 2191-9496, 05/2016, Volume 5, Issue 2, pp. 167 - 176
In this paper, we are interested in a general equation that has finite speed of propagation compatible with Einstein's theory of special relativity. This... 
relativistic heat equations | flux-limited diffusions | Comparison and maximum principles | FOKKER-PLANCK EQUATION | MATHEMATICS | MATHEMATICS, APPLIED | QUASI-LINEAR EQUATION | CONVERGENCE | FLOWS
Journal Article
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