نتایج جستجو برای: degenerate parabolic equation

تعداد نتایج: 262811  

Journal: :bulletin of the iranian mathematical society 0
g. guo institute of mathematics‎, ‎shanghai normal university‎, ‎shanghai‎, ‎200235‎, ‎china and ‎institute of mathematics‎, ‎jimei university‎, ‎xiamen‎, ‎361021 china. j. q. pan institute of mathematics‎, ‎jimei university‎, ‎xiamen‎, ‎361021 china.

in this paper, we discuss the geometric properties of solution and lower bound estimate of ∆um−1 of the cauchy problem for a degenerate parabolic equation with periodic source term ut =∆um+ upsint. our objective is to show that: (1)with continuous variation of time t, the surface ϕ = [u(x,t)]mδq is a complete riemannian manifold floating in space rn+1and is tangent to the space rn at ∂h0(t); (2...

2003
Martial AGUEH

Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. Abstract We obtain solutions of the nonlinear degenerate parabolic equation ∂ ρ ∂ t = div ρ ∇c ⋆ [ ∇ (F ′ (ρ) + V) ] as a steepest descent of an energy with respect to a convex cost functional. The method used here is variational. It requires less uniform convexity assumption than that imposed by Alt and ...

Journal: :Communications in Mathematical Sciences 2011

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1979

2004
J.-P. Raymond

In this paper, we study the existence and uniqueness of a degenerate parabolic equation, with nonhomogeneous boundary conditions, coming from the linearization of the Crocco equation [12]. The Crocco equation is a nonlinear degenerate parabolic equation obtained from the Prandtl equations with the so-called Crocco transformation. The linearized Crocco equation plays a major role in stabilizatio...

2013
Olivier Ley Vinh Duc Nguyen

We study the asymptotic behavior of Lipschitz continuous solutions of nonlinear degenerate parabolic equations in the periodic setting. Our results apply to a large class of Hamilton-Jacobi-Bellman equations. Defining Σ as the set where the diffusion vanishes, i.e., where the equation is totally degenerate, we obtain the convergence when the equation is uniformly parabolic outside Σ and, on Σ, ...

2001
ZHANGXIN CHEN

This is the second paper of a series in which we analyze mathematical properties and develop numerical methods for a degenerate elliptic-parabolic partial diierential system which describes the ow of two incom-pressible, immiscible uids in porous media. In this paper we consider a nite element approximation for this system. The elliptic equation for the pressure and velocity is approximated by ...

Journal: :Communications in Applied and Industrial Mathematics 2019

2014
CHARLES L. EPSTEIN CAMELIA A. POP

We study various probabilistic and analytical properties of a class of degenerate diffusion operators arising in Population Genetics, the so-called generalized Kimura diffusion operators [8, 9, 6]. Our main results are a stochastic representation of weak solutions to a degenerate parabolic equation with singular lower-order coefficients, and the proof of the scaleinvariant Harnack inequality fo...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید