Ginzburg--Landau Spiral Waves in Circular and Spherical Geometries
نویسندگان
چکیده
We prove the existence of $m$-armed spiral wave solutions for complex Ginzburg-Landau equation in circular and spherical geometries. establish a new global bifurcation approach generalize results rigidly-rotating waves. Moreover, we two patterns: frozen spirals geometries, 2-tip geometry.
منابع مشابه
Spiral Waves in Circular and Spherical Geometries
In this thesis we prove the existence of m-armed spiral wave solutions for the complex Ginzburg-Landau equation in the circular and spherical geometries. Instead of applying the shooting method in the literature, we establish a functional approach and generalize the known results of existence for rigidly-rotating spiral waves. Moreover, we prove the existence of two new patterns: frozen spirals...
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/19m1300145