Results 41 to 50 of about 9,988,559 (299)
A minimization problem with free boundary and its application to inverse scattering problems
, 2023 We study a minimization problem with free boundary, resulting in hybrid quadrature domains for the Helmholtz equation, as well as some applications to inverse scattering problems.
Kow, Pu-Zhao +5 more
core +1 more source
A free boundary problem for an attraction–repulsion chemotaxis system
Boundary Value Problems, 2018 In this paper we study an attraction–repulsion chemotaxis system with a free boundary in one space dimension. First, under some conditions, we investigate existence, uniqueness and uniform estimates of the global solution.
Weiyi Zhang, Zuhan Liu, Ling Zhou
doaj +1 more source
Multidimensional transonic shock waves and free boundary problems
Bulletin of Mathematical Sciences, 2022 We are concerned with free boundary problems arising from the analysis of multidimensional transonic shock waves for the Euler equations in compressible fluid dynamics.
Gui-Qiang G. Chen, Mikhail Feldman
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A Free Boundary Problem for the Predator–Prey Model with Double Free Boundaries [PDF]
Journal of Dynamics and Differential Equations, 2015 25 ...
Wang, Mingxin, Zhao, Jingfu
openaire +3 more sources
Small Motions of an Ideal Stratified Fluid in a Basin Covered with Ice
Современная математика: Фундаментальные направления, 2018 We study the problem on small motions of an ideal stratified fluid with a free surface partially covered with crushed ice. The crushed ice is supposed to be ponderable particles of some matter floating on the free surface.
N D Kopachevsky, D O Tsvetkov
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A free boundary problem for the -Laplacian [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2010 We consider the optimization problem of minimizing $\int_Ω|\nabla u|^{p(x)}+ λχ_{\{u>0\}} dx$ in the class of functions $W^{1,p(\cdot)}(Ω)$ with $u-ϕ_0\in W_0^{1,p(\cdot)}(Ω)$, for a given $ϕ_0\geq 0$ and bounded. $W^{1,p(\cdot)}(Ω)$ is the class of weakly differentiable functions with $\int_Ω|\nabla u|^{p(x)} dx0\}$, is a regular surface.
Fernandez Bonder, Julian +2 more
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FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley +1 more source
Comparing the paths of Hedgehog release in artificial and natural settings
FEBS Letters, EarlyView.Hh morphogens require solubilization factors to overcome their tight association with the plasma membrane and signal to distant cells, but the precise functions of these factors are controversial. Here, we use published in vivo observations as the most relevant evidence to test their suggested functions and discuss contradictions and gaps between in ...
Janna Puschmann, Kay Grobe
wiley +1 more source
Symmetries of some free boundary problem in hydrodynamics
Дифференциальная геометрия многообразий фигурThe free boundary problem of water waves in three space dimensions without surface tension is considered. The problem consists of the Laplace equation on the velocity potential, and of the kinematic and dynamic boundary conditions. T. Brooke Benjamin
A. V. Kuleshov
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Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source