Results 61 to 70 of about 8,296,108 (395)

Global existence of strong solution to non-isothermal ideal gas system [PDF]

open access: yesarXiv, 2022
This paper aims to establish the global existence of strong solutions to a non-isothermal ideal gas model. We first show global well-posedness in the Sobolev space $H^2(\mathbb{R}^3)$ by using energy estimates. We then prove the global well-posedness for small-data solutions in the critical Besov space by using Banach's fixed point theorem.
arxiv  

On the global existence and extinction behavior for a polytropic filtration equation with variable coefficients

open access: yesElectronic Research Archive, 2022
This article is devoted to the global existence and extinction behavior of the weak solution to an inhomogeneous polytropic filtration equation. Based on the integral norm estimate approach, the conditions on the global existence and the occurrence of ...
Dengming Liu , Changyu Liu
doaj   +1 more source

Global solutions to quasilinear wave-Klein-Gordon systems in two space dimensions [PDF]

open access: yesarXiv, 2023
In this paper we prove global existence and global behavior of solutions to quasilinear wave-Klein-Gordon systems in $\mathbb{R}^{1+2}$ with quadratic nonlinearities satisfying the null condition. We consider small, regular and compactly supported initial data, and prove global existence, pointwise decay estimates and linear scattering for the ...
arxiv  

Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]

open access: yes, 2009
In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
core   +2 more sources

Global existence for a nonlocal model for adhesive contact

open access: yes, 2017
In this paper we address the analytical investigation of a model for adhesive contact, which includes nonlocal sources of damage on the contact surface, such as the elongation.
Bonetti, Elena   +2 more
core   +1 more source

Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering [PDF]

open access: yes, 2015
We develop inverse scattering for the derivative nonlinear Schrödinger equation (DNLS) on the line using its gauge equivalence with a related nonlinear dispersive equation.
Jiaqi Liu, P. Perry, C. Sulem
semanticscholar   +1 more source

Effects of chronic browsing on life‐history traits of an irruptive large herbivore population

open access: yesPopulation Ecology, EarlyView.
This study aimed to determine the relationship between diet quality, body mass, and size (hind foot length), and female reproduction and sought to identify the mechanism by which high density under severe food limitations is maintained. Our results demonstrated that sika deer introduced to Nakanoshima Island have maintained high densities through high ...
Koichi Kaji   +9 more
wiley   +1 more source

The immunological interface: dendritic cells as key regulators in metabolic dysfunction‐associated steatotic liver disease

open access: yesFEBS Letters, EarlyView.
Metabolic dysfunction‐associated steatotic liver disease (MASLD) affects nearly one‐third of the global population and poses a significant risk of progression to cirrhosis or liver cancer. Here, we discuss the roles of hepatic dendritic cell subtypes in MASLD, highlighting their distinct contributions to disease initiation and progression, and their ...
Camilla Klaimi   +3 more
wiley   +1 more source

Blow-up analysis for a doubly nonlinear parabolic system with multi-coupled nonlinearities

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
This paper deals with the global existence and the global nonexistence of a doubly nonlinear parabolic system coupled via both nonlinear reaction terms and nonlinear boundary flux.
Jian Wang, Yanyan Ge
doaj   +1 more source

Convergence for global curve diffusion flows

open access: yesMathematics in Engineering, 2022
In this note we establish exponentially fast smooth convergence for global curve diffusion flows, and discuss open problems relating embeddedness to global existence (Giga's conjecture) and the shape of Type I singularities (Chou's conjecture).
Glen Wheeler
doaj   +1 more source

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