3 results match your criteria Archive For Rational Mechanics And Analysis[Journal]

  • Page 1 of 1

On a multiphase multicomponent model of biofilm growth.

Arch Ration Mech Anal 2014 Jan;211(1):257-300

Mathematical Biosciences Institute, and Department of Mathematics, Ohio State University, Columbus, Ohio 43210.

Biofilms are formed when free-floating bacteria attach to a surface and secrete polysaccharide to form an extracellular polymeric matrix (EPS). A general model of biofilm growth needs to include the bacteria, the EPS, and the solvent within the biofilm region (), and the solvent in the surrounding region (). The interface between the two regions, (), is a free boundary. Read More

View Article

Download full-text PDF

Source
http://dx.doi.org/10.1007/s00205-013-0665-1DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3979576PMC
January 2014
11 Reads

Statistical foundations of liquid-crystal theory: I. Discrete systems of rod-like molecules.

Arch Ration Mech Anal 2012 Dec;206(3):1039-1072

Department of Mathematics and Statistics, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Tel.: 514-398-2998, ,

We develop a mechanical theory for systems of rod-like particles. Central to our approach is the assumption that the external power expenditure for any subsystem of rods is independent of the underlying frame of reference. This assumption is used to derive the basic balance laws for forces and torques. Read More

View Article

Download full-text PDF

Source
http://dx.doi.org/10.1007/s00205-012-0550-3DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3679949PMC
December 2012
1 Read

Statistical foundations of liquid-crystal theory: II: Macroscopic balance laws.

Arch Ration Mech Anal 2013 Jan;207(1):1-37

Department of Mathematics and Statistics, 805 Sherbrooke Street West, Montreal, QC H3A 2K6, Tel.: 514-398-2998, ,

Working on a state space determined by considering a discrete system of rigid rods, we use nonequilibrium statistical mechanics to derive macroscopic balance laws for liquid crystals. A probability function that satisfies the Liouville equation serves as the starting point for deriving each macroscopic balance. The terms appearing in the derived balances are interpreted as expected values and explicit formulas for these terms are obtained. Read More

View Article

Download full-text PDF

Source
http://dx.doi.org/10.1007/s00205-012-0551-2DOI Listing
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3611664PMC
January 2013
1 Read
  • Page 1 of 1