OxPDE Technical Reports - 2020
OxPDE 20.01 - Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems - Myoungjean Bae, Gui-Qiang G. Chen, Mikhail Feldman
OxPDE 20.02 - Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow - Gui-Qiang G. Chen, Mikhail Feldman, Wei Xiang
OxPDE 20.03 - Stability of Multidimensional Thermoelastic Contact Discontinuities - Gui-Qiang G. Chen, Paolo Secchi, Tao Wang
OxPDE 20.04 - Finite Element Approximation of Elliptic Homogenization Problems in Nondivergence-Form - Yves Capdeboscq, Timo Sprekeler, Endre Suli
OxPDE 20.05 - Remarks on large-scale effects of smoothing mechanisms in 3D reaction-diffusion equations - Dirk Erhard, Weijun Xu
OxPDE 20.06 - Weak universality of dynamical $\Phi^4_3$: polynomial potential and general smoothing mechanism - Dirk Erhard, Weijun Xu
OxPDE 20.07 - Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications - Fabio Cavalletti, Andrea Mondino
OxPDE 20.08 - An optimal transport formulation of the Einstein equations of general relativity - A. Mondino, S. Suhr
OxPDE 20.09 - Sharp Cheeger-Buser type inequalities in RCD(K, $\infty$) spaces - Nicolò de Ponti, Andrea Mondino
OxPDE 20.10 - High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy - José A. Carrillo, Manuel J. Castro, Serafilm Kalliadasis, Sergio P. Perez
OxPDE 20.11 - Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility - José A. Carrillo, D. Gómez-Castro, J.L. Vázquez
OxPDE 20.12 - Variational Asymptotic Preserving Scheme for Vlasov-Poisson-Fokker-Planck System - José A. Carrillo, Li Wang, Wuzhe Xu, Ming Yan
OxPDE 20.13 - Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces - José A. Carrillo, Young-Pil. Choi, Jinwook Jung
OxPDE 20.14 - The Landau equation as a Gradient Flow - José A. Carrillo, Matias G. Delgadino, Laurent Desvillettes, Jeremy Wu
OxPDE 20.15 - Nonlinear open mapping principles, with applications to the Jacobian equation & other scale-invariant PDEs - Andre Guerra, Lukas Koch and Sauli Lindberg
OxPDE 20.16 - Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces.pdf - Andre Guerra, Lukas Koch and Sauli Lindberg
OxPDE 20.17 - Divergence- Measure Fields, Gauss-Green Formulas & Normal Traces.pdf - Gui-Qiang Chen & Monica Torres
OxPDE 20.18 -Oscillation and Concentration under Constant Rank Constraints.pdf - Andre Guerra, Jan Kristensen & Bogdan Rait
OxPDE 20.21 -An Optimal Mass Transport Method for Random Genetic Drift by Jose Carrillo, Lin Cheny & Qi Wang.pdf
OxPDE 20.22 - Computing Equilibrium Measures with Power Law Kernels by Timon s. Gutleb, Jose Carrillo & Sheehan Olver.pdf
OxPDE 20.23 -Mean-field Limits from Particle Descriptions to Macroscopic Equations Jose Carrillo & Young-Pil Choi.pdf