Manipulation of Self-Aggregation Patterns and Waves in a Reaction-Diffusion System by Optimal Boundary Control Strategies Export

@article{2003Lebiedz, abstract = {Reaction-diffusion systems are of considerable importance in many areas of physical sciences. For many reasons; an external manipulation of the dynamics of these processes is desirable. Here we show numerically how spatiotemporal behavior like pattern formation and wave propagation in a two component nonlinear reaction-diffusion model of bacterial chemotaxis can be externally controlled. We formulate the control goal as an objective functional and apply numerical optimization for the solution of the resulting control problem.}, author = {Lebiedz, Dirk and Pollmann, Ulrich B.}, citeulike-article-id = {5846725}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevLett.91.208301}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v91/i20/e208301}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v91/i20/e208301}, doi = {10.1103/PhysRevLett.91.208301}, journal = {Physical Review Letters}, keywords = {chemotaxis, control, keller-segel, self-aggregation}, month = {Nov}, number = {20}, pages = {208301+}, posted-at = {2009-09-28 10:28:38}, priority = {2}, publisher = {American Physical Society}, title = {Manipulation of Self-Aggregation Patterns and Waves in a Reaction-Diffusion System by Optimal Boundary Control Strategies}, url = {http://dx.doi.org/10.1103/PhysRevLett.91.208301}, volume = {91}, year = {2003} }

TY - JOUR ID - 2003Lebiedz L3 - citeulike-article-id:5846725 N2 - Reaction-diffusion systems are of considerable importance in many areas of physical sciences. For many reasons; an external manipulation of the dynamics of these processes is desirable. Here we show numerically how spatiotemporal behavior like pattern formation and wave propagation in a two component nonlinear reaction-diffusion model of bacterial chemotaxis can be externally controlled. We formulate the control goal as an objective functional and apply numerical optimization for the solution of the resulting control problem. IS - 20 JF - Physical Review Letters TI - Manipulation of Self-Aggregation Patterns and Waves in a Reaction-Diffusion System by Optimal Boundary Control Strategies PB - American Physical Society VL - 91 SP - 208301 KW - chemotaxis KW - control KW - keller-segel KW - self-aggregation AU - Lebiedz, Dirk AU - Pollmann, Ulrich PY - 2003/Nov// UR - http://dx.doi.org/10.1103/PhysRevLett.91.208301 ER -