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Monday, October 7, 2013

Download Skripsi Gratis Matematika: ANALISIS SISTEM DINAMIK MODEL GELOMBANG NAVIER-STOKES


Persamaan Navier-Stokes adalah persamaan diferensial parsial nonlinier yang menjelaskan pergerakan suatu fluida. Persaman Navier-Stokes menggambarkan hubungan laju perubahan suatu variabel terhadap variabel yang lain. Penelitian ini bertujuan untuk menganalisis sistem dinamik model Gelombang Navier-Stokes di Ruang Vektor Bernorm. Selanjutnya yaitu menganalisis potret fase grafik yang menggambarkan perilaku dinamik model gelombang. Analisis ini dimulai dengan cara mentransformasi persamaan Navier-Stokes ke dalam sistem Persamaan Diferensial Biasa (PDB), kemudian membuktikan bahwa persamaan tersebut terdefinisi pada sistem dinamik. Dan menganalisis kesetimbangan titik tetap, sehingga dari sini diperoleh potret fase grafik. Berdasarkan hasil pembahasan, pada saat diperoleh titik kesetimbangan merupakan titik kesetimbangan tidak stabil dan jenis kestabilannya adalah pelana. Pada saat diperoleh titik kesetimbangan merupakan titik kesetimbangan tidak stabil, akan tetapi ada salah satu titik titik tetap tidak dapat disimpulkan, karena ada nilai eigen yang nol. Sedangkan pada saat diperoleh titik kesetimbangan merupakan titik kesetimbangan tidak stabil dan jenis kestabilannya adalah pelana. Adapun penelitian selanjutnya yaitu dapat dianalisis pada Navier-Stokes pada dimensi yang lebih tinggi.


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