Results 251 to 260 of about 40,292 (276)

Regularity of solutions of nonlinear degenerate parabolic systems.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1984
Soit le systeme parabolique δu i /δt-div(|⊇u| p−2 ⊇u i )=0 (≤i≤m), avec p>1, ou u i =u i (x,t), ⊇=grad x et x∈Ω⊂R N ouvert. Pour toute solution de ce systeme avec max{1, 2N/N+2}
openaire   +1 more source

Differential inequalities for systems of degenerate parabolic operators

Applicable Analysis, 1977
The Prodi-Westphal theorem is generalized to systems of differential inequalities for nonlin ear nonuniformly parabolic operators of the form [d] The function F[d] is defined for (x,t) in a hypercylinder [d] where G is a bounded open domain in Rm. Suppose that F[d] is elliptic with respect to [d] and that [d] Since it is admissible that [d] at some ...
openaire   +1 more source

Solution of degenerate parabolic systems by relaxation schemes

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author studies the approximate solution of parabolic systems of the form \[ \partial_tb(x,u)-\nabla a(t,x,u,\nabla u)=f(t,x,u) \;\text{in} I\times\Omega,\;I\equiv (0,T), \;T0\) and \(b(x,u)= \nabla_u\phi (x,u)\) where \(\phi(x,u)\) is strictly convex in \(u\in \mathbb{R}^m\) for all \(x\in\Omega\). The elliptic part generated by \(a(t,x,\eta,\xi)\)
openaire   +2 more sources

Gradient Regularity for a Class of Widely Degenerate Parabolic Systems

SIAM Journal on Mathematical Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verena Bögelein, Frank Duzaar, Raffaella Giova, Antonia Passarelli di Napoli   +3 more
openaire   +4 more sources

A Degenerate Parabolic-Hyperbolic System Modeling the Spreading of Surfactants

SIAM Journal on Mathematical Analysis, 1997
This interesting paper studies a one-dimensional model for the spreading of a surfactant on thin films. The resulting equations consist of a parabolic part \(\Gamma_t+ (h\Gamma\sigma(\Gamma)_x)_x= 0\) for the surfactant concentration \(\Gamma\) (the tension coefficient \(\sigma(\Gamma)\) fulfills \(\sigma'(\Gamma)< 0\)) and a hyperbolic part \(h_t+{1 ...
openaire   +1 more source

The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations

Journal of Scientific Computing, 2021
Zhiyue Zhang, Tongke Wang
exaly  

Carleman Estimates for a Class of Degenerate Parabolic Operators

SIAM Journal on Control and Optimization, 2008
Piermarco Cannarsa
exaly  

A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations

SIAM Journal of Scientific Computing, 2012
Marianne Bessemoulin-Chatard, Francis Filbet   +1 more
exaly  

On a fully nonlinear degenerate parabolic system modeling immiscible gas–water displacement in porous media

Nonlinear Analysis: Real World Applications, 2011
Mazen Saad
exaly  

Global and nonglobal weak solutions to a degenerate parabolic system

Journal of Mathematical Analysis and Applications, 2006
Sining Zheng
exaly