A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces

From MaRDI portal
Publication:1939483

DOI10.1007/s00033-012-0207-yzbMath1270.35256OpenAlexW2103817893WikidataQ59901768 ScholiaQ59901768MaRDI QIDQ1939483

Alexander Mielke, Annegret Glitzky

Publication date: 4 March 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-012-0207-y



Related Items

Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations, Null controllability for parabolic equations with dynamic boundary conditions, Global well-posedness for volume–surface reaction–diffusion systems, On uniform decay of the entropy for reaction-diffusion systems, A new transportation distance with bulk/interface interactions and flux penalization, A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance, Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance, Modeling of chemical reaction systems with detailed balance using gradient structures, Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium, Global existence, uniqueness and stability for nonlinear dissipative bulk-interface interaction systems, Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence, Parabolic equations with dynamic boundary conditions and drift terms, High order spatial discretization for variational time implicit schemes: Wasserstein gradient flows and reaction-diffusion systems, GENERIC framework for reactive fluid flows, Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface, Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction, Decay to Equilibrium for Energy-Reaction-Diffusion Systems, On generalized Poisson-Nernst-Planck equations with inhomogeneous boundary conditions: a-priori estimates and stability, Mathematical Modeling of Semiconductors: From Quantum Mechanics to Devices, Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems, On microscopic origins of generalized gradient structures, Global existence and uniqueness for a volume-surface reaction-nonlinear-diffusion system, Entropy method for generalized Poisson-Nernst-Planck equations, Nonlinear diffusion, boundary layers and nonsmoothness: analysis of challenges in drift-diffusion semiconductor simulations, Electro-thermo-chemical computational models for 3D heterogeneous semiconductor device simulation, Well-posedness and fast-diffusion limit for a bulk-surface reaction-diffusion system, Gradient flows and evolution variational inequalities in metric spaces. I: structural properties, Transport distances and geodesic convexity for systems of degenerate diffusion equations, A variational formulation of the BDF2 method for metric gradient flows, Jump processes as generalized gradient flows, A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate, Precision and Sensitivity in Detailed-Balance Reaction Networks, Gradient structures and geodesic convexity for reaction–diffusion systems, Null controllability for a heat equation with dynamic boundary conditions and drift terms, GENERIC for dissipative solids with bulk-interface interaction



Cites Work