Reports

2013

OxPDE 13/07 - "On one dimensional inverse problems arising from polarimetric measurements of nematic liquid crystals" by Yves Capdeboscq &Basang Tsering-Xiao

OxPDE 13/06 - "Existence and stability of a screw dislocation under anti-plane deformation" by Thomas Hudson and Christoph Ortner

OxPDE 13/05 - "Shock diffraction by convex cornered wedges for the nonlinear wave system" by Gui-Qiang Chen, Xuemei Deng and Wei Xiang

OxPDE 13/04 - "Well-Posedness of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows" by Gui-Qiang Chen, Vaibhav Kukreja & Hairong Yuan

OxPDE 13/03 - "Stability of Transonic Characteristic Discontinuities in Two-Dimensional Steady Compressible Euler Flows" by Gui-Qiang Chen, Vaibhav Kukreja & Hairong Yuan

OxPDE 13/02 - "Existence and Stability of Global Solutions of Shock Diffraction by Wedges for Potential Flow" by Gui-Qiang Chen & Wei Xiang

OxPDE 13/01 - "On Multiple Frequency Power Density Measurements" by Giovanni S Alberti

2012

OxPDE 12/14 - "Weakly Nonlinear Geometric Optics for Hyperbolic Systems of Conservation Laws" by Gui-Qiang Chen, Wei Xiang & Yongqian Zhang

OxPDE 12/13 - "Existence of stationary solutions and local minima for 2D models of fine structure dynamics" by Richard Norton

OxPDE 12/12 - "A BOUNDARY VALUE PROBLEM FOR A LAVRENTIEV-BITSADZEMIXED TYPE SYSTEM" by Marta Watson, Beixiang Fang & Laura Caravenna

OxPDE 12/11 - "Partial Regularity for Constrained Minimisers of Quasiconvex Functionals with p-Growth" by Christopher Hopper

OxPDE 12/10 -"Can you hear the shape of a cavity?  " by Sean Moorhead & Andy Wathen

OxPDE 12/09 - "EXISTENCE OF GLOBAL WEAK SOLUTIONS TO IMPLICITLY CONSTITUTED KINETIC MODELS OF INCOMPRESSIBLE HOMOGENEOUS DILUTE POLYMERS" by Miroslav Bulíček, Josef Málek & Endre Süli

OxPDE 12/08 - "GAMMA-EXPANSION FOR A 1D CONFINED LENNARD-JONES MODEL WITH POINT DEFECT" by Thomas Hudson

OxPDE 12/07 - "INTRINSIC LIPSCHITZ GRAPHS IN HEISENBERG GROUPS AND CONTINUOUS SOLUTIONS OF A BALANCE EQUATION" by Francesco Bigolin, Laura Caravenna & Francesco Serra Cassano

OxPDE 12/06 - "EXISTENCE OF GLOBAL WEAK SOLUTIONS TO FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAIN MODELS FOR DILUTE POLYMERS WITH VARIABLE DENSITY AND VISCOSITY" by John W Barrett & Endre Suli

OxPDE 12/05 - "GLOBAL STEADY SUBSONIC FLOWS THROUGH INFINITELY LONG NOZZLES FOR THE FULL EULER EQUATIONS" 

OxPDE 12/04 - "PRANDTL-MEYER REFLECTION FOR SUPERSONIC FLOW PAST A SOLID RAMP" by Gui-Qiang Chen, M Bae & Mikhail Feldman

OxPDE 12/03 - "KOLMOGOROV’S THEORY OF TURBULENCE AND INVISCID LIMIT OF THE NAVIER-STOKES EQUATIONS IN R3" by Gui-Qiang Chen & James Glimm

OxPDE 12/02 - "Two positive solutions of a quasilinear elliptic Dirichlet problem" by C.A. Stuart

OxPDE 12/01 - "LOCATING CERAMI SEQUENCES IN A MOUNTAIN PASS GEOMETRY" by C.A. Stuart

2011

OxPDE 11/24 - "Kramers and non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint" by Michael Herrmann, Barbara Niethammer & Juan J. L. Velazquez

OxPDE 11/23 - "Self-Similar Solutions to a Kinetic Model For Grain Growth" by Michael Herrmann, Philippe Laurencot & Barbara Niethammer

OxPDE 11/22 - "Asymptotics of Self-Similar Solutions to Coagulation Equations with Product Kernel" by J.B. McLeod, Barbara Niethammer & Juan J. L. Velazquez

OxPDE 11/21 - "Self-Similar Solutions with Fat Tails for a Coagulation Equation with Diagonal Kernel" by Barbara Niethammer & Juan J. L. Velazquez

OxPDE 11/20 - "Existence Results for Stationary Flows of Prandtl-Eyring Fluids in 2D By Means of Solenoidal Lipschitz Truncation" by Dominic Breit, Lars Diening & Martin Fuchs

OxPDE 11/19 - "On Nonlinear Stochastic Balance Laws" by Gui-Qiang Chen, Qian Ding & Kenneth H. Karlsen

OxPDE 11/18 - "Interior Regularity Estimates in High Conductivity Homogenization and Application" by Marc Briane, Yves Capdeboscq & Luc Nguyen

OxPDE 11/17 - "Sketches of Regularity Theory from The 20th Century and the Work of Jindrich Necas" by Jan Kristensen & Giuseppe Mingione

OxPDE 11/16 - "BMO and Uniform Estates for Multi-Well Problems" by Georg Dolzmann, Jan Kristensen & Kewei Zhang

OxPDE 11/15 - "On The Scattered Field Generated By A Ball Inhomogeneity of Constant Index" by Yves Capdeboscq

OxPDE 11/14 - "Numerical Computation of Approximate Generalized Polarization Tensors" by Yves Capdeboscq, Anton Bongio Karrman & Jean-Claude Nédélec

OxPDE 11/13 - "Lower semi continuity in BV of quasi-convex Integrals of sub-quadratic growth" by Parth Soneji

OxPDE 11/12 - "Quasiconvex variational functionals in Orlicz-Sobolev spaces" by Dominic Breit & Anna Verde

OxPDE 11/11 - "Finite element approximation of an H1 gradient flow of a double-well potential with bending energy" by Richard A. Norton & Endre S¨uli

OxPDE 11/10 - "Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations" by Kyudong Choi & Alexis F. Vasseur

OxPDE 11/09 - "Shock Reflection-Diffraction and Nonlinear Partial Differential Equations of Mixed Type" by Gui-Qiang G. Chen & Mikhail Feldman

OxPDE 11/08 - "Microwave Imaging by Elastic Deformation" by Habib Ammari, Yves Capdeboscq, Frédéric De Gournay, Anna Rozanova-Pierrat & Faouzi Triki

OxPDE 11/07 - "Characteristic Discontinuities and Free Boundary Problems for Hyperbolic Conservation Laws" by Gui-Qiang Chen & Yaguang Wang

OxPDE 11/06 - "A General Wavelet-Based Profile Decomposition in the Critical Embedding of Function Spaces" by Hajer Bahouri, Albert Cohen & Gabriel Koch

OxPDE 11/05 - "Lower Semicontinuity and Young Measures in BV Without Alberti's Rank-One Theorem" by Filip Rindler

OxPDE 11/04 - "Greedy Approximation of High-Dimensional Ornstein–Uhlenbeck Operators with Unbounded Drift" by Leonardo E. Figueroa & Endre Süli

OxPDE 11/03 - "Lower Semicontinuity for Integral Functionals in the Space of Functions of Bounded Deformation via Rigidity and Young Measures" by Filip Rindler

OxPDE 11/02 - "Reflections on Dubinskiĭ's Nonlinear Compact Embedding Theorem" by Endre Süli & John W. Barrett

OxPDE 11/01 - "Comparison Principles for Self-Similar Potential Flow" by Gui-Qiang G. Chen & Mikhail Feldman

2010

OxPDE 10/27 - "A profile decomposition approach to the  Navier-Stokes regularity criterion" by Isabelle Gallagher, Gabriel S. Koch & Fabrice Planchon

OxPDE 10/26 - "On selection criteria for problems with moving inhomogeneities" by Michael Herrmann, Hartmut Schwetlick & Johannes Zimmer

OxPDE 10/25 - "Weak solutions to lubrication equations in the presence of strong slippage" by Georgy Kitavtse,Philippe Laurençot & Barbara Niethammer

OxPDE 10/24 - "Optimal bounds for self-similar solutions to coagulation equations with multiplicative kernel" by B. Niethammer & J.J.L. Velázquez

OxPDE 10/23 - "Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast" by Houman Owhadi & Lei Zhang

OxPDE 10/22 - "Root Growth: Homogenization in Domains with Time Dependent Partial Perforations" by Yves Capdeboscq & Mariya Ptashnyk

OxPDE 10/21 - "Mixed Type Problems for Transonic Flow in Gas Dynamics and Isometric Embedding in Geometry" by Gui-Qiang G. Chen, Marshall Slemrod & Dehua Wang

OxPDE 10/20 - "Orientability and energy minimization in liquid crystal models" by John M. Ball & Arghir Zarnescu

OxPDE 10/19 - "Oscillatory Waves in Discrete Scalar Conservation Laws" by Michael Herrmann

OxPDE 10/18 - "Kramers’ formula for chemical reactions in the context of Wasserstein gradient flows" by Michael Herrmann & Barbara Niethammer

OxPDE 10/17 - "Existence and Equilibration of Global Weak Solutions to Hookean-Type Bead Spring Chain Models for Dilute Polymers" by John W. Barrett & Endre Süli

OxPDE 10/16 - "On Degenerate Partial Differential Equations" by Gui-Qiang G. Chen

OxPDE 10/15 - "Lower semicontinuity for functions of bounded deformation via rigidity and Young measures" by Filip Rindler (updated January 2011 - see OxPDE 11/03)

OxPDE 10/14 - "Vanishing Viscosity Limit of the Navier-Stokes Equations to the Euler Equations for Compressible Fluid Flow" by Gui-Qiang Chen & Mikhail Perepelitsa

OxPDE 10/13 - "Multidimensional conservation laws: overview, problems, and perspective" by Gui-Qiang G. Chen

OxPDE 10/12 - "A variational model allowing both smooth and sharp phase boundaries in solids" by John M. Ball & Carlos Mora-Corral

OxPDE 10/11 - "An analysis of non-classical austenite-martensite interfaces in CuAlNi" by J. M. Ball, K. Koumatos & H. Seiner

OxPDE 10/10 - "Nematic liquid crystals: from Maier-Saupe to a continuum theory" by John M. Ball & Apala Majumdar

OxPDE 10/09 - "Orientable and Non-Orientable Line Field Models for Uniaxial Nematic Liquid Crystals" by John M. Ball & Arghir Zarnescu

OxPDE 10/08 - "Progress and puzzles in nonlinear elasticity" by J. M. Ball

OxPDE 10/07 - "Bifurcation and decay of solutions for a class of elliptic equations on R^N"  by C. A. Stuart

OxPDE 10/06 - "Profile decompositions for critical Lebesgue and Besov space embeddings" by Gabriel S. Koch

OxPDE 10/05 - "Existence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers" by John W. Barrett & Endre Süli

OxPDE 10/04 - "Heteroclinic standing waves in defocussing DNLS equations - Variational approach via energy minimization" by Michael Herrmann

OxPDE 10/03 - "Homoclinic standing waves in focussing DNLS equations - Variational approach via constrained energy maximization" by Michael Herrmann

OxPDE 10/02 - "Action minimizing fronts in general FPU-type chains" by Michael Herrmann

OxPDE-10/01 - "A toy model for mass aggregation with maximal size" by Ondrej Budáč, Michael Herrmann, Barbara Niethammer & Andrej Spielmann

2009

OxPDE-09/13 - " A uniqueness result for Δu - λu + V(|x|)u^p = 0 on R²" by Francois Genoud

OxPDE-09/12 - "Fracture surfaces and the regularity of inverses for BV deformations" by Duvan Henao & Carlos Mora-Corral

OxPDE-09/11 - "A rigorous derivation of mean-field models for diblock copolymer melts" by Barbara Niethammer & Yoshihito Oshita

OxPDE-09/10 - "Towards two-component lipid bilayer membranes: snapping elastic curves" by Michael Helmers

OxPDE-09/09 - "Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity" by Duvan Henao & Carlos Mora-Corral

OxPDE-09/08 - "The light-cone theorem" by Yvonne Choquet-Bruhat, Piotr Chrusciel & José M. Martín-García

OxPDE-09/07 - "Bifurcation and stability of travelling waves in self-focusing planar wave guides" by François Genoud

OxPDE-09/06 - "Periodic travelling waves in convex Klein-Gordon chains" by Michael Herrmann

OxPDE-09/05 - "Self-similar rupture of viscous thin films in the strong-slip regime" by Dirk Peschka, Andreas Münch and Barbara Niethammer

OxPDE-09/04 - "Crossover in coarsening rates for the monopole approximation of the Mullins-Sekerka model with kinetic drag" by Shibin Dai, Barbara Niethammer and Robert L. Pego

OxPDE-09/03 - "Enhanced Resultion in Structured Media" by Habib Ammari, Eric Bonnetier and Yves Capdeboscq

OxPDE-09/02 - "Self-similar solutions with fat tails for a coagulation equation with nonlocal drift" by Michael Herrmann, Pierre Laurencot and Barbara Niethammer

OxPDE-09/01 -"Unimodal wave trains and solitons in convex FPU chains" by Michael Herrmann

2008

OxPDE-08/13 - "Charaterization of generalised gradient young measures generated by sequences in W1,1 and BV" by Jan Kristensen and Filip Rindler.

OxPDE-08/12 - “Relaxation of signed integral functionals in BV” by Jan Kristensen and Filip Rindler.

OxPDE-08/11 — “Heteroclinic travelling waves in convex FPU-type chains” by Michael Herrmann and Jens D.M. Rademacher.

OxPDE-08/10 — “Thin cylindrical conductivity inclusions in a 3-dimensional domain: polarization tensor and unique determination from boundary data” by Elena Beretti, Yves Capdeboscq and Elisa Francini.

OxPDE-08/09 — “Infinite harmonic chain with heavy mass” by Michael Herrmann and Antonio Segatti.

OxPDE-08/08 — “Boundary regularity in variational problems” by Jan Kristensen and Giuseppe Mingione.

OxPDE-08/07 — “Dynamics and self-similarity in min-driven clustering” by Govind Menon, Barbara Niethammer and Robert L. Pego.

OxPDE-08/06 — “A Kinetic Model for Grain Growth” by R. Henseler, Michael Herrmann, Barbara Niethammer and Juan J. L. Velázquez.

OxPDE-08/05 — “Evolution in off-critical diblock copolymer melts” by Michael Helmers, Barbara Niethammer and Xiaofeng Ren.

OxPDE-08/04 — “Self-similar solutions for the LSW model with encounters” by Michael Herrmann, Barbara Niethammer and Juan J. L. Velázquez.

OxPDE-08/03 — “An Elementary Approach to a Model Problem of Lagerstrom” by Stuart P. Hastings and J. Bryce McLeod.

OxPDE-08/02 — “On Uniqueness of Stationary Vacuum Black Holes” by Piotr T. Chrusciel and João Lopes Costa.

OxPDE-08/01 — “Thin-film limits for Landau–Lifshitz–Gilbert equations” by Christof Melcher.

2007

Pre-prints from the Applied Anaysis and Mechanics research group, which is now part of the Centre, are now available through this site.