Results 61 to 70 of about 59,874 (192)
Local well posedness for a linear coagulation equation [PDF]
, 2009 In this paper we derive some a priori estimates for a class of linear coagulation equations with particle fluxes towards large size particles. The derived estimates allow us to prove local well posedness for the considered equations.
Escobedo, M., Velazquez, J. J. L.
core
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
Debiasing piecewise deterministic Markov process samplers using couplings
Scandinavian Journal of Statistics, EarlyView.Abstract Monte Carlo methods—such as Markov chain Monte Carlo (MCMC) and piecewise deterministic Markov process (PDMP) samplers—provide asymptotically exact estimators of expectations under a target distribution. There is growing interest in alternatives to this asymptotic regime, in particular in constructing estimators that are exact in the limit of ...
Adrien Corenflos +2 more
wiley +1 more source
Remark on well-posedness and ill-posedness for the KdV equation
Electronic Journal of Differential Equations, 2010 We consider the Cauchy problem for the KdV equation with low regularity initial data given in the space $H^{s,a}(mathbb{R})$, which is defined by the norm $$ | varphi |_{H^{s,a}}=| langle xi angle^{s-a} |xi|^a widehat{varphi} |_{L_{xi}^2}.
Takamori Kato
doaj
Vortex filament solutions of the Navier-Stokes equations
, 2020 We consider solutions of the Navier-Stokes equations in $3d$ with vortex filament initial data of arbitrary circulation, that is, initial vorticity given by a divergence-free vector-valued measure of arbitrary mass supported on a smooth curve.
Bedrossian, Jacob +2 more
core
Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2305-2353, December 2025.Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley +1 more source
Well-posedness and ill-posedness of the fifth-order modified KdV equation
Electronic Journal of Differential Equations, 2008 We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$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
Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
Journal of Applied Mathematics, 2015 We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness.
Wei-bing Zhang +2 more
doaj +1 more source
Local well-posedness for the periodic mKdV in $H^{1/4+}$ [PDF]
, 2022 Atanas Stefanov
openalex +1 more source
On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion
International Journal for Numerical Methods in Fluids, Volume 97, Issue 12, Page 1541-1557, December 2025.Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras +3 more
wiley +1 more source