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Showing 1 to 5 of 5 for “"Nonlinear diffusion equation"”.
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Travelling Wave Analysis of a Nonlinear Diffusion Equation
… continuum model, which can be formulated as a nonlinear diffusion free boundary (nonlinear Stefan) problem, indicate a travelling wave behaviour that is subsequently investigated using a travelling wave analysis. Considering first a simplified linear problem, we perform a travelling wave …
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Chaotic diffusion in nonlinear Hamiltonian systems
This work investigates diffusion in nonlinear Hamiltonian systems. The diffusion, more precisely subdiffusion, in such systems is induced by the intrinsic chaotic behavior of trajectories and thus is called chaotic diffusion''. Its properties are studied on the example of one- or two-dimensional …
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On some nonlinear partial differential equations for classical and quantum many body systems
… deals with problems arising in the study of nonlinear partial differential equations arising from many-body problems. It is divided into two parts: The first part concerns the derivation of a nonlinear diffusion equation from a microscopic stochastic process. We give a new method to show that …
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Dynamics of Nonlinear Diffusion Processes
<p>The purpose of this thesis is to analyze nonlinear diffusion processes. In particular, some of the results arrived at by Newman and Sagan in their 1981 paper "Galactic Civilizations: Population Dynamics and Interstellar Diffusion," will be reproduced by different means. First, a thorough …
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Quantitative studies and Hydrodynamical limits for interacting particle systems
… We give bounds on the spectral gap for weak nonlinearities of the chain, i.e. perturbations around linear homogeneous chains and also a complete answer for the linear, homogeneous and disordered, chain of oscillators as well as $d$-dimensional grids of oscillators. The methods range from …