Results 131 to 140 of about 1,398 (233)

Invariant Regions and Global Asymptotic Stability in an Isothermal Catalyst

, 1988
A well-known model for the evolution of the (space-dependent) concentration and (lumped) temperature in a porous catalyst is considered. A sequence of invariant regions of the phase space is given, which converges to a globally asymptotically stable ...
Vega de Prada, José Manuel
core   +1 more source

A free boundary problem for semilinear elliptic equations

, 1986
The regularity of the free boundary for the following problem was investigated: \[ \Delta u=a(x,u)\gamma u^{\gamma -1}\text{ on } \Omega \cap \{u>0\},\quad 00\}\) where a tangent plane in measure exists, which is denoted by \(\partial_{red}\{u>0\};\) 3) A notion of 'flat' free boundary point was introduced; 4) The \(C^{1,\alpha}\) surface regularity of
Alt, H.W., Phillips, D.
openaire   +1 more source

Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation

, 2014
We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result
Sourdis, Christos
core  

Constrained Nonlinear and Mixed Effects Integral Differential Equation Models for Dynamic Cell Polarity Signaling. [PDF]

Front Plant Sci, 2022
Xiao Z, Brunel N, Tian C, Guo J, Yang Z, Cui X.   +5 more
europepmc   +1 more source

Spikes for the Gierer-Meinhardt system in two dimensions: The strong coupling case

, 2002
Numerical computations often show that the Gierer-Meinhardt system has stable solutions which display patterns of multiple interior peaks (often also called spots). These patterns are also frequently observed in natural biological systems.
Winter, M, Wei, Juncheng, Winter, Matthias, Wei, J   +3 more
core   +1 more source

Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros. [PDF]

Ann PDE, 2022
Kehle C, Ramos JPG.
europepmc   +1 more source

Formación de singularidades en algunos problemas de reacción-difusión no lineales [PDF]

, 2007
El nexo común entre los trabajos que integran la siguiente Memoria es el estudio del fenómeno de explosión en ciertos problemas de evolución de tipo parabólico.
Pérez Pérez, María Teresa
core  

Tracking and blind deconvolution of blood alcohol concentration from transdermal alcohol biosensor data: A population model-based LQG approach in Hilbert space. [PDF]

Automatica (Oxf), 2023
Yao M, Luczak SE, Rosen IG.
europepmc   +1 more source

On blow-up solutions and dead zones in semilinear equations

Доповiдi Нацiональної академiї наук України
Presented by Corresponding Member of the NAS of Ukraine V.Ya. Gutlyanskii We study semilinear elliptic equations of the form div(A(z)∇u)=f(u) in Ω⊂C, where A(z) stands for a sym metric 2×2 matrix function with measurable entries, detA=1, and such that 1/
V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source

Spikes for the two-dimensional Gierer-Meinhardt system: The weak coupling case

, 2001
In this paper, we rigorously prove the existence and stability of multiple-peaked patterns for the singularly perturbed Gierer-Meinhardt system in a two dimensional domain which are far from spatial homogeneity.
Winter, M, Wei, J
core   +1 more source