Similarity solutions for solute transport in fractal porous media using a time-and scale-dependent dispersivity
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In condensed matter systems, the atoms, electrons or spins can sometimes arrange themselves in ways that result in unexpected properties but that cannot be detected by conventional experimental probes. Several historical and contemporary examples of such h ...
The isentropic vortex problem is frequently solved to test the accuracy of numerical methods and verify corresponding code. Unfortunately, its existing solution was derived in the relativistic magnetohydrodynamics by numerically solving an ordinary differe ...
Review of the monograph "Projekt ohne Form" by Holger Schurk on OMA’s competition entires from 1989, discussing Koolhaas’ approach to form in architecture. ...
Although 'arrival infrastructure' is central to the experience of migrants arriving in a new city, is it sufficient to form a 'hospitable milieu'? Our article compares newcomers' experiences with 'arrival infrastructure' in two European cities: Brussels an ...
We study some linear and nonlinear shot noise models where the jumps are drawn from a compound Poisson process with jump sizes following an Erlang-m distribution. We show that the associated Master equation can be written as a spatial mth order partial dif ...
CARTHA is a curated platform that focuses on sharing different forms of critical thinking regarding architecture and society. Through opinions, experiences and works, CARTHA aims to map out the contemporary architectural landscape. How to Learn Better inau ...
The objective of this thesis is to develop efficient numerical schemes to successfully tackle problems arising from the study of groundwater flows in a porous saturated medium; we deal therefore with partial differential equations(PDE) having random coeffi ...
We present a theoretical analysis of the CORSING (COmpRessed SolvING) method for the numerical approximation of partial differential equations based on compressed sensing. In particular, we show that the best s-term approximation of the weak solution of a ...
In this thesis, we study two distinct problems.
The first problem consists of studying the linear system of partial differential equations which consists of taking a k-form, and applying the exterior derivative 'd' to it and add the wedge product with a 1- ...
We study the nonlinear stochastic heat equation in the spatial domain R, driven by space-time white noise. A central special case is the parabolic Anderson model. The initial condition is taken to be a measure on R, such as the Dirac delta function, but th ...