On the well-posedness of generalized Darcy–Forchheimer equation
نویسندگان
چکیده
منابع مشابه
Global Well-posedness for Periodic Generalized Korteweg-de Vries Equation
In this paper, we show the global well-posedness for periodic gKdV equations in the space H(T), s ≥ 1 2 for quartic case, and s > 5 9 for quintic case. These improve the previous results of Colliander et al in 2004. In particular, the result is sharp in the quartic case.
متن کاملOn the Well-posedness of the Degasperis-procesi Equation
We investigate well-posedness in classes of discontinuous functions for the nonlinear and third order dispersive Degasperis-Procesi equation (DP) ∂tu− ∂ txxu + 4u∂xu = 3∂xu∂ xxu + u∂ xxxu. This equation can be regarded as a model for shallow-water dynamics and its asymptotic accuracy is the same as for the Camassa-Holm equation (one order more accurate than the KdV equation). We prove existence...
متن کاملWell-posedness in H for the (generalized) Benjamin-Ono equation on the circle
We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in H(T). This leads to a global wellposedness result in H(T) for the Benjamin-Ono equation.
متن کاملThe Well-posedness Ofthe Kuramoto-sivashinsky Equation
The Kuramoto-Sivashinsky equation arises in a variety of applications, among which are modeling reaction-diffusion systems, flame-propagation and viscous flow problems. It is considered here, as a prototype to the larger class of generalized Burgers equations: those consist of quadratic nonlinearity and arbitrary linear parabolic part. We show that such equations are well-posed, thus admitting ...
متن کاملWell-posedness of Second Order Evolution Equation on Discrete Time
We characterize the well-posedness for second order discrete evolution equations in UMD spaces by means of Fourier multipliers and R-boundedness properties of the resolvent operator which defines the equation. Applications to semilinear problems are given.
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: Boundary Value Problems
سال: 2018
ISSN: 1687-2770
DOI: 10.1186/s13661-018-1043-6