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Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities
Free boundary problems of the Euler equation local well-posedness hydrodynamical instabilities
2015/4/3
Free boundary problems of the Euler equation: local well-posedness and hydrodynamical instabilities.
Turing instabilities in a mathematical model for signaling networks
Turing instability non-local reaction-diffusion system signaling molecules
2011/8/30
Abstract: GTPase molecules are important regulators in cells that continuously run through an activation/deactivation and membrane-attachment/membrane-detachment cycle. Activated GTPase is able to loc...
Traveling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities
Keller-Segel system hyperbolic system traveling waves branching instability
2010/12/16
How can repulsive and attractive forces, acting on a conservative system, create stable traveling patterns or branching instabilities? We have proposed to study this question in the framework of the h...
On nonlinear Rayleigh Taylor instabilities
Fluid Mechanic Instability Nonlinear Spectrum Analytic regularity
2007/12/12
Some of the mathematical properties of the interface between two incompressible inviscid and immiscible fluids with different densities under the influence of a constant gravity field $g$ are investig...
Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
Regularity of Global attractor
2007/12/11
In the present paper, the existence of global attractor for dissipative Hamiltonian amplitude equation governing the modulated wave instabilities in E0 is considered. By a decomposition of solution op...