GLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS
In this paper we prove the global existence of Maxwell Klein-Gordon equation (MKG) with general couplings in 4-dimensional Minkowski space. We start with the Lagrangian of electromagnetic and complex scalar field with addition of general couplings. Then, we get the solution in form of its curvature...
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id-itb.:293972018-10-19T09:30:20ZGLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS (NIM : 20216015), MULYANTO Fisika Indonesia Theses Global Existence, General Couplings, Maxwell Klein-Gordon. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/29397 In this paper we prove the global existence of Maxwell Klein-Gordon equation (MKG) with general couplings in 4-dimensional Minkowski space. We start with the Lagrangian of electromagnetic and complex scalar field with addition of general couplings. Then, we get the solution in form of its curvature using spherical means method for nonlinear wave equation. The solution is bounded by the energy using L-? estimates. For the sake of simplicity, we also use the temporal gauge condition. The result show that the solution is not blow up in finite time. For complete proof of global existence, we show that norm (H2 x H1) in form of energy is not also blow up in finite time. text |
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Fisika (NIM : 20216015), MULYANTO GLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS |
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In this paper we prove the global existence of Maxwell Klein-Gordon equation (MKG) with general couplings in 4-dimensional Minkowski space. We start with the Lagrangian of electromagnetic and complex scalar field with addition of general couplings. Then, we get the solution in form of its curvature using spherical means method for nonlinear wave equation. The solution is bounded by the energy using L-? estimates. For the sake of simplicity, we also use the temporal gauge condition. The result show that the solution is not blow up in finite time. For complete proof of global existence, we show that norm (H2 x H1) in form of energy is not also blow up in finite time. |
| format |
Theses |
| author |
(NIM : 20216015), MULYANTO |
| author_facet |
(NIM : 20216015), MULYANTO |
| author_sort |
(NIM : 20216015), MULYANTO |
| title |
GLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS |
| title_short |
GLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS |
| title_full |
GLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS |
| title_fullStr |
GLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS |
| title_full_unstemmed |
GLOBAL EXISTENCE OF MAXWELL KLEIN-GORDON THEORY WITH GENERAL COUPLINGS |
| title_sort |
global existence of maxwell klein-gordon theory with general couplings |
| url |
https://digilib.itb.ac.id/gdl/view/29397 |
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1821995372643352576 |