Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Bögelein V+3 more
europepmc +1 more source
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient
We study the Cauchy problem for the nonlinear (possibly strongly) degenerate parabolic transport-diffusion equation $$ partial_t u + partial_x (gamma(x)f(u))=partial_x^2 A(u), quad A'(cdot)ge 0, $$ where the coefficient $gamma(x)$ is possibly ...
John D. Towers+2 more
doaj
A degenerate migration-consumption model in domains of arbitrary dimension
In a smoothly bounded convex domain Ω⊂Rn ${\Omega}\subset {\mathbb{R}}^{n}$ with n ≥ 1, a no-flux initial-boundary value problem forut=Δuϕ(v),vt=Δv−uv, $$\begin{cases}_{t}={\Delta}\left(u\phi \left(v\right)\right),\quad \hfill \\ {v}_{t}={\Delta}v-uv ...
Winkler Michael
doaj +1 more source
Existence of solutions to a diffusive shallow medium equation. [PDF]
Bögelein V, Dietrich N, Vestberg M.
europepmc +1 more source
Blow-up for an evolution
This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Liu Dengming+3 more
doaj
A vanishing dynamic capillarity limit equation with discontinuous flux. [PDF]
Graf M+3 more
europepmc +1 more source
Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations
Li Jing, Yin Jingxue, Jin Chunhua
doaj +1 more source
Hölder inequality applied on a non-Newtonian fluid equation with a nonlinear convection term and a source term. [PDF]
Zhan H.
europepmc +1 more source
Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions. [PDF]
Ding J.
europepmc +1 more source