Well-posedness of stochastic modified Kawahara equation
نویسندگان
چکیده
منابع مشابه
Well-posedness of the transport equation by stochastic perturbation
We consider the linear transport equation with a globally Hölder continuous and bounded vector field, with an integrability condition on the divergence. While uniqueness may fail for the deterministic PDE, we prove that a multiplicative stochastic perturbation of Brownian type is enough to render the equation well-posed. This seems to be the first explicit example of partial differential equati...
متن کاملWell-posedness for the 2d Modified Zakharov-kuznetsov Equation
We prove that the initial value problem for the two-dimensional modified ZakharovKuznetsov equation is locally well-posed for data in H(R), s > 3/4. Even though the critical space for this equation is L(R) we prove that well-posedness is not possible in such space. Global well-posedness and a sharp maximal function estimate are also established.
متن کاملWell-posedness of modified Camassa–Holm equations
Article history: Received 4 April 2008 Revised 11 January 2009 Available online 28 February 2009
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 کاملOn the Well Posedness of the Modified Korteweg-de Vries Equation in Weighted Sobolev Spaces
We study local and global well posedness of the k-generalized Korteweg-de Vries equation in weighted Sobolev spaces Hs(R) ∩ L2(|x|2rdx).
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: Advances in Difference Equations
سال: 2020
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2485-6