Special Session 31
Emergence and Dynamics of Patterns in Nonlinear Partial Differential Equations from Mathematical Science
Organizer(s):
Danielle Hilhorst
Yoshihisa Morita
Kunimochi Sakamoto
Introduction:
There are many nonlinear PDEs (partial differential equations) whose solution structures reveal the emergence of interesting patterns and the evolution of patterns. Such nonlinear-PDE models come from various fields of mathematical science, including material-science, life and biological sciences. In this session, we bring together recent studies on solution-structures of nonlinear PDE's related to pattern formation, dynamics, and bifurcations, presenting new aspects of solutions capturing the nonlinear phenomena together with underlying structures of solutions.

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