Results 31 to 40 of about 300 (58)

On systems of continuity equations with nonlinear diffusion and nonlocal drifts

, 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  

A Short Proof of Increased Parabolic Regularity

, 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, Pankavich, Stephen   +1 more
core   +1 more source

Higher integrability for doubly nonlinear parabolic systems. [PDF]

SN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]

Entropy (Basel), 2023
Zlotnik A, Lomonosov T.
europepmc   +1 more source

WHERE DID THE TUMOR START? AN INVERSE SOLVER WITH SPARSE LOCALIZATION FOR TUMOR GROWTH MODELS. [PDF]

Inverse Probl, 2020
Subramanian S, Scheufele K, Mehl M, Biros G.   +3 more
europepmc   +1 more source

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

SIAM J Sci Comput, 2020
Scheufele K, Subramanian S, Mang A, Biros G, Mehl M.   +4 more
europepmc   +1 more source

On regularity of weak solutions to linear parabolic systems with measurable coefficients

, 2018
We establish a new regularity property for weak solutions of parabolic systems with coefficients depending measurably on time as well as on all spatial variables. Namely, weak solutions are locally H{\"o}lder continuous Lp valued functions for some p > 2.
Auscher, Pascal, Bortz, Simon, Egert, Moritz, Saari, Olli   +3 more
core  

On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative. [PDF]

J Geom Anal
Dindoš M.
europepmc   +1 more source

Higher integrability for singular doubly nonlinear systems. [PDF]

Ann Mat Pura Appl
Moring K, Schätzler L, Scheven C.
europepmc   +1 more source

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Hyperbolic–parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion

Communications in Partial Differential Equations, 2023
Pierre-Etienne Druet, Katharina Hopf, Ansgar Jüngel   +2 more
exaly