Self-similar solutions to the MCF in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>
نویسندگان
چکیده
We make an analysis of self-similar solutions for the mean curvature flow (MCF) by surfaces revolution and ruled in R3. prove that MCF non-cylindrical R3 are trivial. Moreover, we characterize revolutions under a homothetic helicoidal motion terms generating curve. Finally, cylindrical Explicit families exact also given.
منابع مشابه
Self-similar solutions to a coagulation equation
The existence of self-similar solutions with a finite first moment is established for the Oort-Hulst-Safronov coagulation equation when the coagulation kernel is given by a(y, y∗) = yλ + yλ ∗ for some λ ∈ (0, 1). The corresponding self-similar profiles are compactly supported and have a discontinuity at the edge of their support. MSC 2000: 45K05, 45M05, 82C21
متن کاملon the relationship between self- regulated learning strategies use and willingness to communicate in the context of writing
این تحقیق به منظور بررسی رابطه بین میزان استراتژیهای خود-تنظیم شده یادگیری و تمایل به ایجاد ارتباط دانشجویان زبان انگلیسی انجام شده است.علاوه بر این،روابط و کنش های موجود بین ریزسنجه های استراتژیهای خود-تنظیم شده یادگُیری ، مهارت نگارش و تمایل به برقراری ارتباط و همچنین تاٍثیرجنسیت دانشجویان زبان انگلیسی در استراتژیهای خود-تنظیم شده یادگیری و تمایل به برقراری ارتباط آنها مورد بررسی قرار گرفته شد.
15 صفحه اولSelf-similar solutions to the isothermal compressible Navier–Stokes equations
We investigate the self-similar solutions to the isothermal compressible Navier–Stokes equations. The aim of this paper is to show that there exist neither forward nor backward self-similar solutions with finite total energy. This generalizes the results for the incompressible case in Nečas, J., Ru̇žička, M. & Šverák, V. (1996, On Leray’s self-similar solutions of the Navier-Stokes equations. Ac...
متن کاملGeneral Relativistic Self-Similar Solutions in Cosmology
We present general relativistic solutions for self-similar spherical perturbations in an expanding cosmological background of cold pressure-less gas. We focus on solutions having shock discontinuities propagating in the surrounding cold gas. The pressure, p, and energy-density, μ, in the shock-heated matter are assumed to obey p = wμ, where w is a positive constant. Consistent solutions are fou...
متن کاملKinematic self-similar solutions in general relativity
The gravitational interaction is scale-free in both Newtonian gravity and general theory of relativity. The concept of self-similarity arises from this nature. Self-similar solutions reproduce themselves as the scale changes. This property results in great simplification of the governing partial differential equations. In addition, some self-similar solutions can describe the asymptotic behavio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and Its Applications
سال: 2023
ISSN: ['1872-6984', '0926-2245']
DOI: https://doi.org/10.1016/j.difgeo.2023.101985