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John Lowengrub

Researcher at University of California, Irvine

Publications -  255
Citations -  15600

John Lowengrub is an academic researcher from University of California, Irvine. The author has contributed to research in topics: Nonlinear system & Multigrid method. The author has an hindex of 58, co-authored 241 publications receiving 13368 citations. Previous affiliations of John Lowengrub include Courant Institute of Mathematical Sciences & University of Minnesota.

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Quasi–incompressible Cahn–Hilliard fluids and topological transitions

TL;DR: In this article, a physically motivated regularization of the Euler equations is proposed to allow topological transitions to occur smoothly, where the sharp interface is replaced by a narrow transition layer across which the fluids may mix.
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Nonlinear modelling of cancer: Bridging the gap between cells and tumours

TL;DR: In this paper, the authors provide an overview of multiscale modelling focusing on the growth phase of tumours and bypassing the initial stage of tumourigenesis, and limit the scope further by considering models of tumor progression that do not distinguish tumour cells by their age and do not consider immune system interactions nor do they describe models of therapy.
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Removing the stiffness from interfacial flows with surface tension

TL;DR: In this article, a boundary integral time integration method is presented for computing the motion of fluid interfaces with surface tension in two-dimensional, irrotational, and incompressible fluids.
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Three-dimensional multispecies nonlinear tumor growth--I Model and numerical method.

TL;DR: This is the first paper in a two-part series in which a diffuse interface continuum model of multispecies tumor growth and tumor-induced angiogenesis in two and three dimensions is developed, analyzed, and simulated.