Results 31 to 37 of about 269 (37)

A Short Proof of Increased Parabolic Regularity

open access: yes, 2015
We present a new, short proof of the increased regularity obtained by solutions to uniformly parabolic partial differential equations. Though this setting is fairly introductory, our new method of proof, which uses a priori estimates, can be extended to ...
Michalowski, Nicholas   +1 more
core   +1 more source

On systems of continuity equations with nonlinear diffusion and nonlocal drifts

open access: yes, 2015
This paper is devoted to existence and uniqueness results for classes of nonlinear diffusion equations (or systems) which may be viewed as regular perturbations of Wasserstein gradient flows. First, in the case.
Carlier, Guillaume, Laborde, Maxime
core  

On cross-diffusion systemsfor two populations subject to a common congestion effect

open access: yes, 2019
In this paper, we investigate the existence of solution for systems of Fokker-Planck equations coupled through a common nonlinear congestion. Two different kinds of congestion are considered: a porous media congestion or \textit{soft} congestion and the \
Laborde, Maxime
core  

IMAGE-DRIVEN BIOPHYSICAL TUMOR GROWTH MODEL CALIBRATION. [PDF]

open access: yesSIAM J Sci Comput, 2020
Scheufele K   +4 more
europepmc   +1 more source

Higher integrability for singular doubly nonlinear systems. [PDF]

open access: yesAnn Mat Pura Appl
Moring K, Schätzler L, Scheven C.
europepmc   +1 more source

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