Front-like entire solutions for equations with convection
نویسندگان
چکیده
منابع مشابه
Front-like entire solutions for monostable reaction-diffusion systems
This paper is concerned with front-like entire solutions for monostable reactiondiffusion systems with cooperative and non-cooperative nonlinearities. In the cooperative case, the existence and asymptotic behavior of spatially independent solutions (SIS) are first proved. Combining a SIS and traveling fronts with different wave speeds and directions, the existence and various qualitative proper...
متن کاملRadial entire solutions for supercritical biharmonic equations ∗
We prove existence and uniqueness (up to rescaling) of positive radial entire solutions of supercritical semilinear biharmonic equations. The proof is performed with a shooting method which uses the value of the second derivative at the origin as a parameter. This method also enables us to find finite time blow up solutions. Finally, we study the convergence at infinity of regular solutions tow...
متن کاملExact solutions for wave-like equations by differential transform method
Differential transform method has been applied to solve many functional equations so far. In this article, we have used this method to solve wave-like equations. Differential transform method is capable of reducing the size of computational work. Exact solutions can also be achieved by the known forms of the series solutions. Some examples are prepared to show theefficiency and simplicity of th...
متن کاملWeak solutions for diffusion-convection equations
K e y w o r d s D i f f u s i o n c o n v e c t i o n equations, L °° bounds of weak solutions. 1. I N T R O D U C T I O N In this note, we consider weak solutions to diffusion-convection equations with less regular convective field and boundary data. The general form of the problem under consideration is -~u(t,x)O _ t~Au(t,x) + d i v (b(x)u(t ,x)) = f ( t , x ,u ( t , x ) ) , in (0, T) x ~t (1...
متن کاملEntire Invariant Solutions to Monge-ampère Equations
We prove existence and regularity of entire solutions to MongeAmpère equations invariant under an irreducible action of a compact Lie group. We consider Monge-Ampère equations of the form f(∇φ) detDijφ = g(x) (0.1) where f and g are nonnegative measurable functions on R. We recall first the concept of a weak solution of (0.1). Let φ be a convex function. Then ∇φ is a well-defined multi-valued m...
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: Journal of Differential Equations
سال: 2012
ISSN: 0022-0396
DOI: 10.1016/j.jde.2012.04.022