Results 41 to 50 of about 36,597 (202)
Local well-posedness of the (4+1)-dimensional Maxwell-Klein-Gordon equation at energy regularity
, 2015 This paper is the first part of a trilogy dedicated to a proof of global well-posedness and scattering of the (4+1)-dimensional mass-less Maxwell-Klein-Gordon equation (MKG) for any finite energy initial data.
Oh, Sung-Jin, Tataru, Daniel
core +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Diffusion MRI probes tissue microstructure, but low SNR and limited resolution hinder detection of features and parameter estimates. We introduce slice excitation with random overlap (SERO), which enables variable repetition times (TRs) and diffusion weighting within a single shot.
Felix Mortensen +7 more
wiley +1 more source
Well-posedness and ill-posedness of the fifth-order modified KdV equation
Electronic Journal of Differential Equations, 2008 We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$displaylines{ partial_t u - partial_x^5u + c_1partial_x^3(u^3) + c_2upartial_x upartial_x^2 u + c_3uupartial_x^3 u =0cr u(x,0)= u_0(x ...
Soonsik Kwon
doaj
Algebra Properties in Fourier-Besov Spaces and Their Applications
Journal of Function Spaces, 2018 We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the ...
Xuhuan Zhou, Weiliang Xiao
doaj +1 more source
Stability of energy-critical nonlinear Schrodinger equations in high dimensions
Electronic Journal of Differential Equations, 2005 We develop the existence, uniqueness, continuity, stability, and scattering theory for energy-critical nonlinear Schrodinger equations in dimensions $n geq 3$, for solutions which have large, but finite, energy and large, but finite, Strichartz norms ...
Terence Tao, Monica Visan
doaj
Local well-posedness for the Zakharov system on multidimensional torus [PDF]
, 2011 The initial value problem of the Zakharov system on two dimensional torus with general period is shown to be locally well-posed in the Sobolev spaces of optimal regularity, including the energy space.
Kishimoto, Nobu
core
Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density
, 2013 In this paper, we prove the global existence and uniqueness of solution to d-dimensional (for $d=2,3$) incompressible inhomogeneous Navier-Stokes equations with initial density being bounded from above and below by some positive constants, and with ...
Paicu, Marius +2 more
core +3 more sources
Local Well-Posedness of Dynamics of Viscous Gaseous Stars [PDF]
Archive for Rational Mechanics and Analysis, 2009 49 ...
openaire +2 more sources
Critical local well‐posedness for the fully nonlinear Peskin problem
Communications on Pure and Applied Mathematics, 2023 AbstractWe study the problem where a one‐dimensional elastic string is immersed in a two‐dimensional steady Stokes fluid. This is known as the Stokes immersed boundary problem and also as the Peskin problem. We consider the case with equal viscosities and with a fully non‐linear tension law; this model has been called the fully nonlinear Peskin problem.
Stephen Cameron, Robert M. Strain
openaire +2 more sources