Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters
| Title | Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters PDF eBook |
| Author | Giao Ky Duong |
| Publisher | |
| Pages | 0 |
| Release | 2023 |
| Genre | Differential equations, Partial |
| ISBN | 9781470474812 |
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.
Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters
| Title | Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters PDF eBook |
| Author | Giao Ky Duong |
| Publisher | American Mathematical Society |
| Pages | 104 |
| Release | 2023-05-23 |
| Genre | Mathematics |
| ISBN | 1470461218 |
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Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
| Title | Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits PDF eBook |
| Author | Pablo Candela |
| Publisher | American Mathematical Society |
| Pages | 114 |
| Release | 2023-07-31 |
| Genre | Mathematics |
| ISBN | 1470465485 |
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Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume
| Title | Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume PDF eBook |
| Author | Roelof Bruggeman |
| Publisher | American Mathematical Society |
| Pages | 186 |
| Release | 2023-07-31 |
| Genre | Mathematics |
| ISBN | 1470465450 |
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On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type
| Title | On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type PDF eBook |
| Author | David A. Craven |
| Publisher | American Mathematical Society |
| Pages | 226 |
| Release | 2023-09-15 |
| Genre | Mathematics |
| ISBN | 147046702X |
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Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster
| Title | Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster PDF eBook |
| Author | Alexander Bors |
| Publisher | American Mathematical Society |
| Pages | 108 |
| Release | 2023-07-31 |
| Genre | Mathematics |
| ISBN | 1470465442 |
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Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems
| Title | Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems PDF eBook |
| Author | Tudor S. Ratiu |
| Publisher | American Mathematical Society |
| Pages | 102 |
| Release | 2023-07-31 |
| Genre | Mathematics |
| ISBN | 147046439X |
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