Publications related to Exact solutions for water infiltration with an arbitrary surface flux or nonlinear solute adsorption

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is treated individually. This method is used here to analyze gas- ...

2013

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Jacques Rappaz, Stéphane Flotron

In this article, we present a numerical scheme based on a finite element method in order to solve a time-dependent convection-diffusion equation problem and satisfy some conservation properties. In particular, our scheme is able to conserve the total energ ...

EDP Sciences2013

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Dominique Bonvin, Julien Léo Billeter, Sriniketh Srinivasan, Benoit Till Cretegny

Identification of kinetic models and estimation of reaction and mass-transfer parameters can be performed using the extent-based identification method, whereby each chemical/physical process is handled separately [1-3]. This method is used here to analyze ...

2013

A combination between the reduced basis method and the ANOVA expansion: On the computation of sensitivity indices

Gianluigi Rozza, Andrea Manzoni, Denis Devaud

We consider a method to efficiently evaluate in a real-time context an output based on the numerical solution of a partial differential equation depending on a large number of parameters. We state a result allowing to improve the computational performance ...

Elsevier2013

Structured Canonical Forms For Products Of (Skew-) Symmetric Matrices And The Matrix Equation XAX = B

Daniel Kressner, Xin Liu

The contragredient transformation A bar right arrow P-1 AP-(inverted perpendicular) , B bar right arrow P-inverted perpendicular BP of two matrices A, B effects simultaneous similarity transformations of the products AB and BA. This work provides structure ...

Int Linear Algebra Soc2013

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Joachim Krieger

In this paper we prove the global in time well-posedness of the following non-local diffusion equation with

\alpha\, \varepsilon [0, 2/3)

:

\partial_tu=\{(-\Delta)^{-1}u\}\Delta u+\alpha u^2, \,\, u(t=0)=u_0

. The initial condition

u_0

is positive, rad ...

2012

Convergence Analysis For Spectral Approximation To A Scalar Transport Equation With A Random Wave Speed

This paper is concerned with the initial-boundary value problems of scalar transport equations with uncertain transport velocities. It was demonstrated in our earlier works that regularity of the exact solutions in the random spaces (or the parametric spac ...

Vsp Bv2012

Multi-component particle size segregation in shallow granular avalanches

Christophe Ancey

A general continuum theory for particle size segregation and diffusive remixing in polydisperse granular avalanches is formulated using mixture theory. Comparisons are drawn to existing segregation theories for bi-disperse mixtures and the case of a ternar ...

Cambridge University Press2011

Link between Alginate Reaction Front Propagation and General Reaction Diffusion Theory

Jürgen Brugger, Philippe Renaud, Thomas Michael Braschler, Kristopher Pataky, Ana Valero, Ludovica Colella

We provide a common theoretical framework reuniting specific models for the Ca2+-alginate system and general reaction diffusion theory along with experimental validation on a microfluidic chip. As a starting point, we use a set of nonlinear, partial differ ...

2011

Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil

David Andrew Barry, Seifeddine Jomaa

Hairsine and Rose developed a mechanistic, one-dimensional, precipitation-driven erosion model that, since its appearance, has been validated by several sets of experimental results. The model allows any sediment particle to be present in one of three zone ...

2010

Exact solutions for water infiltration with an arbitrary surface flux or nonlinear solute adsorption

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Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

A combination between the reduced basis method and the ANOVA expansion: On the computation of sensitivity indices

Structured Canonical Forms For Products Of (Skew-) Symmetric Matrices And The Matrix Equation XAX = B

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Convergence Analysis For Spectral Approximation To A Scalar Transport Equation With A Random Wave Speed

Multi-component particle size segregation in shallow granular avalanches

Link between Alginate Reaction Front Propagation and General Reaction Diffusion Theory

Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Conservation Schemes For Convection-Diffusion Equations With Robin Boundary Conditions

Multi-component particle size segregation in shallow granular avalanches

A combination between the reduced basis method and the ANOVA expansion: On the computation of sensitivity indices

Incremental Model Identification of Gas-Liquid Reaction Systems with Unsteady-State Diffusion

Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity

Structured Canonical Forms For Products Of (Skew-) Symmetric Matrices And The Matrix Equation XAX = B

Convergence Analysis For Spectral Approximation To A Scalar Transport Equation With A Random Wave Speed

Exact solutions of the Hairsine-Rose precipitation-driven erosion model for a uniform grain-sized soil

Link between Alginate Reaction Front Propagation and General Reaction Diffusion Theory