نتایج جستجو برای: parabolic diffusion

تعداد نتایج: 181243  

2009
Brandon G. Bale Nathan Kutz

Self-similarity is a ubiquitous concept in the physical sciences used to explain a wide range of spatialor temporal-structures observed in a broad range of applications and natural phenomena. Indeed, they have been predicted or observed in the context of Raman scattering, spatial soliton fractals, propagation in the normal dispersion regime with strong nonlinearity, optical amplifiers, and mode...

Journal: :Stochastic Processes and their Applications 2015

Journal: :SIAM Journal on Control and Optimization 2015

Journal: :European Journal of Applied Mathematics 2000

2013
MI-HO GIGA YOSHIKAZU GIGA

We extend the theory of viscosity solutions to a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of an arbitrary dimension with diffusion given by an anisotropic total variation energy. We give a proof of a comparison principle, an outline of a proof of the stability under approximation by regularized parabolic problems, and an existence theorem f...

2017
Farid Ammar-Khodja Assia Benabdallah Cédric Dupaix Manuel Gonzalez-Burgos

We present a generalization of the Kalman rank condition to the case of n×n linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global Carleman estimate for the solutions of a scalar 2n−order parabolic equation and deduce from it an observability inequality for our adjoint system. AMS 2000 subject classification: 93...

2008
Lorenzo Brandolese

We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst–Planck and the Debye–Hückel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and o...

2004
Y. AMIRAT

We study the asymptotic behavior, with respect to high Péclet numbers, of the solutions of the nonlinear elliptic-parabolic system governing the displacement of one incompressible fluid by another, completely miscible with the first, in a porous medium. Using compensated compactness techniques, we obtain the existence of a global weak solution to the nonlinear degenerate elliptic-parabolic syst...

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