Construction Of Blowup Solutions For The Complex Ginzburg Landau Equation With Critical Parameters

Author : Giao Ky Duong
Publisher :
ISBN 13 : 9781470474812
Total Pages : 0 pages
Book Rating : 4.16/5 ( download)

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Download or read book Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters written by Giao Ky Duong and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We construct a solution for the Complex Ginzburg-Landau (CGL) equation in a general critical case, which blows up in finite time T only at one blow-up point. We also give a sharp description of its profile. In the first part, we formally construct a blow-up solution. In the second part we give the rigorous proof. The proof relies on the reduction of the problem to a finite dimensional one, and the use of index theory to conclude. The interpretation of the parameters of the finite dimension problem in terms of the blow-up point and time allows to prove the stability of the constructed solution. We would like to mention that the asymptotic profile of our solution is different from previously known profiles for CGL or for the semilinear heat equation.

Author : Giao Ky Duong
Publisher : American Mathematical Society
ISBN 13 : 1470461218
Total Pages : 104 pages
Book Rating : 4.18/5 ( download)

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Download or read book Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters written by Giao Ky Duong and published by American Mathematical Society. This book was released on 2023-05-23 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

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Publisher : American Mathematical Society
ISBN 13 : 1470465485
Total Pages : 114 pages
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Publisher : American Mathematical Society
ISBN 13 : 1470465450
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Publisher : American Mathematical Society
ISBN 13 : 147046702X
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Publisher : American Mathematical Society
ISBN 13 : 1470465442
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Publisher : American Mathematical Society
ISBN 13 : 147046439X
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Publisher : American Mathematical Society
ISBN 13 : 1470465426
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Publisher : American Mathematical Society
ISBN 13 : 1470467054
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Publisher : American Mathematical Society
ISBN 13 : 1470466996
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