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    Article

    Phase-field models for moving boundary problems: Controlling metastability and anisotropy

    We introduce a variant of a recently proposed method of rotated lattices for numerical treatment of moving boundary problems. The usual lattice introduced for numerical computation of phase-field models gives ...

    A. Bösch, H. Müller-Krumbhaar, O. Shochet in Zeitschrift für Physik B Condensed Matter (1995)

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    Chapter

    Properties of the Morphologies Envelope in a Diffusion Limited Growth

    Despite the major progress with the discovery of the microscopic solvability criterion [1, 2, 3, 4, 5, 6, 7, 8, 9], the problem of interfacial pattern formation is not yet solved [8, 10]. The new existence pri...

    O. Shochet, R. Kupferman, E. Ben-Jacob in Growth Patterns in Physical Sciences and Biology (1993)

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    Chapter

    Interfacial Pattern Formation in Biological Systems: Preliminary Observations During Growth of Bacterial Colonies

    The pioneering studies of Fujikawa and Matsushita [1, 2] have demonstrated that the development of bacterial colonies grown on thin agar plates is an example of a quasi-two-dimensional biological growth proces...

    E. Ben-Jacob, H. Shmueli, O. Shochet… in Growth Patterns in Physical Sciences and B… (1993)