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639 karya publik ditemukan.

2026: 532025: 2252024: 3362023: 25

Lantunan Kalam Cinta

2025 · Book · Koleksi Perpustakaan

"Tidak terima penolakan!" Kalimat itu tidak akan pernah bisa dihindari jika sudah berhadapan dengan Ai Kavyar Adiyaksa Syarief. Seorang pengusaha tampan, mapan dan beriman. Walaupun menawan ia tetap terlihat menyeramkan. Sikap dinginnya pada setiap orang mampu membuat lelaki itu seperti ditakuti, terutama oleh karyawan yang bekerja dengannya. Jika sebagian orang takut dengan Kav, berbeda dengan Piyi Latusena. Perempuan yang menjabat sebagai sekretaris pribadi Kav itu berani membuat bosnya kesal dengan selalu memanggil Kav dengan sebutan Ai. Sebuah panggilan yang terdengar menggelikan di telinga Kav, tetapi terdengar lucu bagi Piyi, walaupun begitu Piyi tetap tidak bisa menolak ketika Kav melontarkan kalimat andalannya. Sebuah permintaan yang membuat Piyi tak percaya ketika mendengarnya. "Kamu harus menikah dengan saya, tidak terima penolakan!"

Iman dan ilmu

2025 · Book · Koleksi Perpustakaan

Religious reflections on evolution, secularism, bioethics, ecology, and social justice.

Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

2025 · Book · Koleksi Perpustakaan

The goal of this monograph is to prove that any solution of the Cauchy problem for the capillary-gravity water waves equations, in one space dimension, with periodic, even in space, small and smooth enough initial data, is almost globally defined in time on Sobolev spaces, provided the gravity-capillarity parameters are taken outside an exceptional subset of zero measure. In contrast to the many results known for these equations on the real line, with decaying Cauchy data, one cannot make use of dispersive properties of the linear flow. Instead, a normal forms-based procedure is used, eliminating those contributions to the Sobolev energy that are of lower degree of homogeneity in the solution. Since the water waves equations form a quasi-linear system, the usual normal forms approaches would face the well-known problem of losses of derivatives in the unbounded transformations. To overcome this, after a paralinearization of the capillary-gravity water waves equations, we perform several paradifferential reductions to obtain a diagonal system with constant coefficient symbols, up to smoothing remainders. Then we start with a normal form procedure where the small divisors are compensated by the previous paradifferential regularization. The reversible structure of the water waves equations, and the fact that we seek solutions even in space, guarantees a key cancellation which prevents the growth of the Sobolev norms of the solutions.