Results 41 to 50 of about 1,162 (78)

Global in time well-posedness of a three-dimensional periodic regularized Boussinesq system

Demonstratio Mathematica
Global in time weak solution to a regularized periodic three-dimensional Boussinesq system is proved to exist in energy spaces. This solution depends continuously on the initial data. In particular, it is unique.
Almutairi Shahah
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Solitons in gauge theories: Existence and dependence on the charge

Advances in Nonlinear Analysis, 2014
In this paper we review recent results on the existence of non-topological solitons in classical relativistic nonlinear field theories. We follow the Coleman approach, which is based on the existence of two conservation laws, energy and charge.
Bonanno Claudio
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Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations

Advanced Nonlinear Studies
We present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations.
Dong Hongjie, Yastrzhembskiy Timur
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Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

Advanced Nonlinear Studies, 2022
The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
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Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

, 2007
Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $\mathbb{R}^n$.
Kim, Seick
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Suppression of blow-up in Patlak–Keller–Segel–Navier–Stokes system via the Couette flow in whole space

Advances in Nonlinear Analysis
This paper studies the two-dimensional Patlak–Keller–Segel–Navier–Stokes (PKS–NS) system in R2 ${\mathbb{R}}^{2}$ near the Couette flow (Ay, 0). Using the Green’s function method, we first derive enhanced dissipation estimates for the linearized system ...
Wang Gaofeng, Wang Weike, Wu Tianfang
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Schauder estimates on bounded domains for KFP operators with coefficients measurable in time and Hölder continuous in space

Analysis and Geometry in Metric Spaces
We consider degenerate Kolmogorov-Fokker-Planck operators ℒu=∑i,j=1qaij(x,t)uxixj+∑k,j=1Nbjkxkuxj−ut,{\mathcal{ {\mathcal L} }}u=\mathop{\sum }\limits_{i,j=1}^{q}{a}_{ij}\left(x,t){u}_{{x}_{i}{x}_{j}}+\mathop{\sum }\limits_{k,j=1}^{N}{b}_{jk}{x}_{k}{u}_{{
Biagi Stefano, Bramanti Marco
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Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations

Advances in Nonlinear Analysis, 2019
Homogenisation of global 𝓐ε and exponential 𝓜ε attractors for the damped semi-linear anisotropic wave equation ∂t2uε+y∂tuε−divaxε∇uε+f(uε)=g,$\begin{array}{} \displaystyle \partial_t ^2u^\varepsilon + y \partial_t u^\varepsilon-\operatorname{div} \left(a\
Cooper Shane, Savostianov Anton
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The interior curvature bounds for a class of curvature quotient equations

Advanced Nonlinear Studies
For elliptic partial differential equations, the pure interior C 2 estimates and Pogorelov type estimates are important issues. In this paper, we study the interior estimates of Γk̃ $\tilde {{{\Gamma}}_{k}}$ -admissible solutions for curvature quotient ...
Jia Haohao
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Monotonicity formulas for coupled elliptic gradient systems with applications

Advances in Nonlinear Analysis, 2019
Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
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