Results 81 to 90 of about 200 (160)
Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type [PDF]
, 2010 A Cauchy problem for a parabolic-elliptic system of drift-di usion type is considered. The problem is formally of the form Ut = r (rU Ur( ) 1U): This system describes a mass-conserving aggregation phenomenon including gravitational collapse and ...
Yoshikazu, Giga +2 more
core +1 more source
Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Calc Var Partial Differ Equ, 2021 Bögelein V +3 more
europepmc +1 more source
A General Approach to Stability in Free Boundary Problems
, 2000 Every solution of a linear elliptic equation on a bounded domain may be considered as an equilibrium of a free boundary problem. The free boundary problem consists of the corresponding parabolic equation on a variable unknown domain with free boundary ...
Alessandra Lunardi +10 more
core +1 more source
Demonstratio MathematicaThe shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
doaj +1 more source
A parabolic quasi-variational inequality arising in a superconductivity model [PDF]
, 2000 35K85 (primary), 35K55, 35R35 (secondary)We consider the existence of solutions for a parabolic quasilinear problem with a gradient constraint which threshold depends on the solution itself. The problem may be considered as a quasi-variational inequality
Rodrigues, José Francisco, Santos, Lisa
core
Heterogeneous Diffusion and Nonlinear Advection in a One-Dimensional Fisher-KPP Problem. [PDF]
Entropy (Basel), 2022 Palencia JLD, Rahman SU, Redondo AN.
europepmc +1 more source
, 2002 We investigate a boundary value problem for a nonlinear evolution biharmonic operator motivated by flexion of fully clamped beam in two different physical situations. In the first, the supports of the ends of the beam are fixed and in the second one, the
L. A. Medeiros, H. R. Clark, J. Límaco
core
Threshold results of blow-up solutions to Kirchhoff equations with variable sources
This paper analyzes an initial boundary value problem for variable source Kirchhoff-type parabolic equations. We aim to derive a new sub-critical energy threshold for finite-time blow-up, a new blow-up condition, and estimates for lifespan and upper ...
RAHMOUNE, Abita, TOUIL, Nadji
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Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces
Advanced Nonlinear StudiesWe consider a general class of non-homogeneous contracting flows of convex hypersurfaces in Rn+1 ${\mathbb{R}}^{n+1}$ , and prove the existence and regularity of the flow before extincting to a point in finite time.
Guan Pengfei, Huang Jiuzhou, Liu Jiawei
doaj +1 more source
On a class of fully nonlinear parabolic equations
Advances in Nonlinear Analysis, 2016 We study the homogeneous Dirichlet problem for the fully nonlinear ...
Antontsev Stanislav, Shmarev Sergey
doaj +1 more source