Results 31 to 39 of about 221 (39)
A global scheme for the incompressible Navier-Stokes equation on compact Riemannian manifolds [PDF]
arXiv, 2012 We propose a global scheme for a controlled Navier-Stokes equation system on compact smooth Riemannian manifolds.
arxiv
Uniform Regularity Estimates in Parabolic Homogenization [PDF]
arXiv, 2013 We consider a family of second-order parabolic systems in divergence form with rapidly oscillating and time-dependent coefficients, arising in the theory of homogenization. We obtain uniform interior $W^{1,p}$, H\"older, and Lipschitz estimates as well as boundary $W^{1,p}$ and H\"older estimates, using compactness methods.
arxiv
Partial regularity for parabolic systems with VMO-coefficients [PDF]
arXiv, 2013 We establish partial regularity for vector-valued solutions to parabolic systems where the coefficients are possibly discontinuous with respect to (x,t). More precisely, we assume a VMO-condition with respect to the (x,t) and continuity with respect to u and prove H\"older continuity of the solutions outside of singular sets.
arxiv
Two Series Formulae from the Solution of a System of Diffusion Equations [PDF]
arXiv, 2014 From the solution of the heat and mass diffusion equations that describe the exothermic physical absorption of a gas into a liquid, compact formulae for the sums of two infinite series are derived. The method is general and should be applicable to other systems of linear, parabolic partial differential equations.
arxiv
WHERE DID THE TUMOR START? AN INVERSE SOLVER WITH SPARSE LOCALIZATION FOR TUMOR GROWTH MODELS. [PDF]
Inverse Probl, 2020 Subramanian S +3 more
europepmc +1 more source
Stabilization technique applied to curve shortening flow in the plane [PDF]
arXiv, 2014 The method proposed by T. I. Zelenjak is applied to the mean curvature flow in the plane. A new type of monotonicity formula for star-shaped curves is obtained.
arxiv
IMAGE-DRIVEN BIOPHYSICAL TUMOR GROWTH MODEL CALIBRATION. [PDF]
SIAM J Sci Comput, 2020 Scheufele K +4 more
europepmc +1 more source
On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative. [PDF]
J Geom AnalDindoš M.
europepmc +1 more source
Higher integrability for singular doubly nonlinear systems. [PDF]
Ann Mat Pura ApplMoring K, Schätzler L, Scheven C.
europepmc +1 more source