J. Velázquez

发表

A blow-up mechanism for a chemotaxis model

M. A. Herrero, J. Velázquez, 1997 .

Singularity patterns in a chemotaxis model

M. A. Herrero, J. Velázquez, 1996 .

Chemotactic collapse for the Keller-Segel model

M. A. Herrero, J. Velázquez, 1996, Journal of mathematical biology.

Rate-Independent Dynamics and Kramers-Type Phase Transitions in Nonlocal Fokker–Planck Equations with Dynamical Control

J. Velázquez, M. Herrmann, B. Niethammer, 2012, 1212.3128.

An integro-differential equation arising as a limit of individual cell-based models

M. Bodnar, J. Velázquez, 2006 .

Mathematik in den Naturwissenschaften Leipzig An Integro-Differential Equation Model for Alignment and Orientational Aggregation

B. Perthame, A. Stevens, J. Velázquez, 2007 .

Mass-Selection in Alignment Models with Non-Deterministic Effects

A. Stevens, J. Velázquez, I. Primi, 2009 .

Asymptotic shape of cusp singularities in curve shortening

J. J. L. Velázquez, S. Angenent, J. Velázquez, 1995 .

Dynamical Properties of Models for the Calvin Cycle

J. Velázquez, A. Rendall, 2013, 1303.3621.

Blow-up of solutions of supercritical semilinear parabolic equations

M. A. Herrero, J. Velázquez, 1994 .

Ant foraging and geodesic paths in labyrinths: analytical and computational results.

J. Velázquez, M. Fontelos, M. Vela-Pérez, 2013, Journal of theoretical biology.

Bistable stochastic biochemical networks: highly specific systems with few chemicals

J. Velázquez, H. Hwang, 2013, Journal of Mathematical Chemistry.

Bistable stochastic biochemical networks: large chemical networks and systems with many molecules

J. Velázquez, H. Hwang, 2013, Journal of Mathematical Chemistry.

Qualitative Behavior of a Keller–Segel Model with Non-Diffusive Memory

A. Stevens, J. Velázquez, K. Kang, 2010 .

Friction dominated dynamics of interacting particles locally close to a crystallographic lattice

M. Bodnar, J. Velázquez, Juan J. L. Velázquez, 2013 .

Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption

Miguel A. Herrero, Juan J. L. Velázquez, M. A. Herrero, 1992 .

Flat blow-up in one-dimensional semilinear heat equations

M. A. Herrero, J. Velázquez, 1992, Differential and Integral Equations.

J. Velázquez, 2008 .

On the Effect of Correlations, Fluctuations and Collisions in Ostwald Ripening

F. Otto, J. Velázquez, B. Niethammer, 2006 .

On the dynamics of the characteristic curves for the LSW model

J. Velázquez, 2006 .

Global well-posedness for an inhomogeneous LSW–model in unbounded domains

J. Velázquez, B. Niethammer, 2004 .

HOMOGENIZATION IN COARSENING SYSTEMS I: DETERMINISTIC CASE

J. Velázquez, B. Niethammer, 2004 .

Global Stability and Bounds for Coarsening Rates Within the Mean-Field Theory for Domain Coarsening

J. Velázquez, B. Niethammer, 2006 .

Global Existence for the Vlasov–Poisson System in Bounded Domains

J. Velázquez, H. Hwang, 2008, 0810.3452.

Selection of asymptotic states through screening induced fluctuations in Ostwald ripening

J. Velázquez, B. Niethammer, 2007 .

Global Existence for Reaction‐Diffusion Systems Modelling Ignition

A. Lacey, M. A. Herrero, J. Velázquez, 1998 .

A derivation of a new set of equations at the onset of the Bose–Einstein condensation

J. Velázquez, M. Escobedo, 2008 .

On the Effect of Stochastic Fluctuations in the Dynamics of the Lifshitz–Slyozov–Wagner Model

J. Velázquez, 2000 .

Nonuniqueness for the Kinetic Fokker–Planck Equation with Inelastic Boundary Conditions

J. Velázquez, H. Hwang, Juhi Jang, 2015, Archive for Rational Mechanics and Analysis.

A nonlinear Fokker-Planck equation modelling the approach to thermal equilibrium in a homogeneous plasma

M. A. Herrero, J. Velázquez, M. Escobedo, 1998 .

PILE-UP SOLUTIONS FOR SOME SYSTEMS OF CONSERVATION LAWS MODELLING DISLOCATION INTERACTION IN CRYSTALS ∗

S. Chapman, J. Velázquez, A. Carpio, 2001 .

Revisiting Shikhmurzaev's approach to the contact line problem

J. Velázquez, B. Niethammer, Amrita Ghosh, 2021, 2112.12406.

On the Fundamental Solution of a Homogeneous Linearized Coagulation Equation

J. Velázquez, M. Escobedo, 2009, 0911.1230.

Asymptotics of the trap-dominated Gunn effect in p-type Ge

L. Bonilla, M. A. Herrero, J. Velázquez, 1997, cond-mat/9705247.

J. Velázquez, B. Niethammer, M. Bonacini, 2016, Archive for Rational Mechanics and Analysis.

Optimal Gradient Estimates and Asymptotic Behaviour for the Vlasov–Poisson System with Small Initial Data

J. Velázquez, H. Hwang, A. Rendall, 2006, math/0606389.

R. James, J. Velázquez, A. Nota, 2018, Archive for Rational Mechanics and Analysis.

The Fokker–Planck Equation with Absorbing Boundary Conditions

J. Velázquez, H. Hwang, J. Jang, 2014, Archive for Rational Mechanics and Analysis.

On the growth of filamentary structures in planar media

M. A. Herrero, J. Velázquez, D. Andreucci, 2004 .

J. Velázquez, A. Kierkels, 2016, Journal of Statistical Physics.

Partial differential equations and non-diffusive structures

A. Stevens, J. Velázquez, 2008 .

Singular solutions of partial differential equations modelling chemotactic aggregation

J. Velázquez, 2006 .

Rate-Independent Dynamics and Kramers-Type Phase Transitions in Nonlocal Fokker–Planck Equations with Dynamical Control

J. Velázquez, M. Herrmann, B. Niethammer, 2014, Archive for Rational Mechanics and Analysis.

J. Velázquez, B. Niethammer, M. Bonacini, 2019, Archive for Rational Mechanics and Analysis.

On the Growth of a Particle Coalescing in a Poisson Distribution of Obstacles

J. Velázquez, A. Nota, 2017, Communications in Mathematical Physics.

Uniqueness of Self-similar Solutions to Smoluchowski’s Coagulation Equations for Kernels that are Close to Constant

J. Velázquez, B. Niethammer, 2014, Journal of Statistical Physics.

J. Velázquez, B. Niethammer, 2012, Communications in Mathematical Physics.

Veiled Singularities for the Spherically Symmetric Massless Einstein–Vlasov System

J. Velázquez, A. Rendall, 2017, Annales Henri Poincaré.

Finite time blow-up and condensation for the bosonic Nordheim equation

J. Velázquez, M. Escobedo, 2014, Inventiones mathematicae.

The Two-Particle Correlation Function for Systems with Long-Range Interactions

J. Velázquez, Raphael Winter, 2018, Journal of Statistical Physics.

From a Non-Markovian System to the Landau Equation

J. Velázquez, Raphael Winter, 2018, Communications in Mathematical Physics.

Mathematical Analysis of a Coarsening Model with Local Interactions

J. Velázquez, B. Niethammer, Michael Helmers, 2016, Journal of Nonlinear Science.

On the Transfer of Energy Towards Infinity in the Theory of Weak Turbulence for the Nonlinear Schrödinger Equation

J. Velázquez, A. Kierkels, 2015, Journal of Statistical Physics.

Measure Valued Solutions of the 2D Keller–Segel System

S. Luckhaus, J. Velázquez, Y. Sugiyama, 2010 .

On the blow up of supercritical solution of the Nordheim equation for bosons

J. Velázquez, M. Escobedo, 2012 .

Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation

J. Velázquez, J. Bandyopadhyay, 2014 .

Asymptotic description of Dirac mass formation in kinetic equations for quantum particles

S. Mischler, J. Velázquez, M. Escobedo, 2004 .

The classical one-phase Stefan problem: a catalog of interface behaviors

M. A. Herrero, J. Velázquez, D. Andreucci, 2001 .

A free boundary problem associated with crystallization of polymers in a temperature field

A. Friedman, J. Velázquez, 2001 .

Dynamical Properties of Models for the Calvin Cycle

J. Velázquez, A. Rendall, 2014, Journal of Dynamics and Differential Equations.

Pattern forming instabilities driven by non-diffusive interactions

Angela Stevens, Ivano Primi, Juan J. L. Velázquez, 2013, Networks Heterog. Media.

A free-boundary problem modeling loop dislocations in crystals

A. Friedman, Bei Hu, J. Velázquez, 1992 .

Derivation of macroscopic equations for individual cell‐based models: a formal approach

Marek Bodnar, M. Bodnar, J. Velázquez, 2005 .

Blow-up behaviour of one-dimensional semilinear parabolic equations

Miguel A. Herrero, Juan J. L. Velázquez, M. A. Herrero, 1993 .

Generic behaviour of one-dimensional blow up patterns

M. A. Herrero, J. Velázquez, 1992 .

Finite time blow-up for the bosonic Nordheim equation

J. Velázquez, M. Escobedo, 2012 .

Finite time blow-up and condensation for the bosonic Nordheim equation

J. Velázquez, M. Escobedo, 2012, 1206.5410.

On the onset of interference effects during the formation of the Bose-Einstein condensate

J. Velázquez, M. Escobedo, 2008, 0803.3870.

The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains

J. Velázquez, Richard M. Höfer, Juan J. L. Velázquez, 2016, 1603.06750.

Two-Speed Solutions to Non-convex Rate-Independent Systems

J. Velázquez, F. Rindler, S. Schwarzacher, 2019, Archive for Rational Mechanics and Analysis.

Singular perturbation analysis of cAMP signalling in Dictyostelium discoideum aggregates

Gabriela Liţcanu, J. Velázquez, G. Liţcanu, 2006, Journal of mathematical biology.

Dynamics of Propagation Phenomena in Biological Pattern Formation

J. Velázquez, G. Liţcanu, 2006 .

Kinetic theory and numerical simulations of two-species coagulation

Raul Toral, Fabricio Macia, Carlos Escudero, 2014, 1404.4994.

Two-species-coagulation approach to consensus by group level interactions.

Fabricio Macià, Carlos Escudero, C. Escudero, 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

J. Velázquez, M. Herrmann, B. Niethammer, 2008, 0803.3521.

On Screening Induced Fluctuations in Ostwald Ripening

J. Velázquez, B. Niethammer, 2008 .

Screening in Interacting Particle Systems

Barbara Niethammer, Juan J. L. Velázquez, J. Velázquez, 2006 .

HOMOGENIZATION IN COARSENING SYSTEMS II: STOCHASTIC CASE

J. Velázquez, B. Niethammer, 2004 .

The Becker–Döring Equations and the Lifshitz–Slyozov Theory of Coarsening

Juan J. L. Velázquez, J. Velázquez, 1998 .

On the convergence to the smooth self-similar solution in the LSW model

J. Velázquez, B. Niethammer, 2006 .

Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes

J. Velázquez, Richard M. Höfer, A. Giunti, 2018, Communications in Partial Differential Equations.

Fractal-like singularities for an inviscid one-dimensional model of fluid jets

J. Velázquez, M. Fontelos, 2000, European Journal of Applied Mathematics.

A kinetic model for grain growth

Michael Herrmann, Barbara Niethammer, Juan J.L. Velazquez, 2008, 0807.3529.

On the Transfer of Energy Towards Infinity in the Theory of Weak Turbulence for the Nonlinear Schrödinger Equation

J. Velázquez, A. Kierkels, 2014, 1410.2073.

On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons

J. Velázquez, M. Escobedo, 2012, 1210.1664.

Classification of singularities for blowing up solutions in higher dimensions

J. J. L. Velázquez, J. Velázquez, 1993 .

Some Results on Blow up for Semilinear Parabolic Problems

J. J. L. Velázquez, Miguel A. Herrero, M. A. Herrero, 1993 .

Blow–Up Profiles in One–Dimensional. Semilinear Parabolic Problems

M. A. Herrero, J. Velázquez, 1992 .

On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons

J. Velázquez, M. Escobedo, 2014, Communications in Mathematical Physics.

Singular solutions for the Uehling–Uhlenbeck equation

S. Mischler, J. Velázquez, M. Escobedo, 2008, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On the Fundamental Solution of a Linearized Uehling–Uhlenbeck Equation

S. Mischler, J. Velázquez, M. Escobedo, 2007 .

Singular Solutions for the Uehling Uhlenbeck Equation January 11 , 2007

S. Mischler, J. Velázquez, M. Escobedo, 2007 .

Communications in Mathematical Physics On the Fundamental Solution of a Linearized Homogeneous Coagulation Equation

J. Velázquez, M. Escobedo, 2010 .

Local well posedness for a linear coagulation equation

J. Velázquez, M. Escobedo, Miguel Escobedo, 2009, 0911.1641.

On the Existence of Exponentially Decreasing Solutions of the Nonlinear Landau Damping Problem

J. Velázquez, H. Hwang, 2008, 0810.3456.

Mathematical Analysis of a Coarsening Model with Local Interactions

Michael Helmers, Barbara Niethammer, Juan J. L. Velázquez, 2015, J. Nonlinear Sci..

Higher dimensional blow up for semilinear parabolic equations

J. Velázquez, 1992 .

Estimates on the (n−1)-dimensional Hausdorff measure of the blow-up set for a semilinear heat equation

J. Velázquez, J.J.L. Velazquez, 1992 .

Corner Formation for the Undercooled Stefan Problem

J. J. L. Velázquez, J. Velázquez, 2001, SIAM J. Appl. Math..

On Some Breakup and Singularity Formation Mechanisms for Inviscid Liquid Jets

J. J. L. Velázquez, Marco Antonio Fontelos, J. Velázquez, 1999, SIAM J. Appl. Math..

Veiled Singularities for the Spherically Symmetric Massless Einstein–Vlasov System

J. Velázquez, A. Rendall, 2016, 1604.06576.

A Class of Dust-Like Self-Similar Solutions of the Massless Einstein–Vlasov System

J. Velázquez, A. Rendall, 2010, 1009.2596.

Existence of Solutions Describing Accumulation in a Thin-Film Flow

J. J. L. Velázquez, Carlota M. Cuesta, C. M. Cuesta, 2013, SIAM J. Appl. Dyn. Syst..

Analysis of Oscillations in a Drainage Equation

J. J. L. Velázquez, Carlota M. Cuesta, C. M. Cuesta, 2012, SIAM J. Math. Anal..

The Two-Particle Correlation Function for Systems with Long-Range Interactions

J. Velázquez, Raphael Winter, 2018, Journal of Statistical Physics.

The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems

J. Velázquez, M. Fontelos, M. Aguareles, 2012 .

On the Eshelby-Kostrov property for the wave equation in the plane

M. A. Herrero, J. Velázquez, G. Oleaga, 2006 .

Planar cracks running along piecewise linear paths

M. A. Herrero, J. Velázquez, G. Oleaga, 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

The evolution of stress intensity factors in the propagation of two dimensional cracks

A. Friedman, Bei Hu, J. Velázquez, 2000, European Journal of Applied Mathematics.

Asymptotics for the Biharmonic Equation near the tip of a Crack

A. Friedman, Bei Hu, J. Velázquez, 1998 .

Approaching a vertex in a shrinking domain under a nonlinear flow

M. Ughi, J. Velázquez, M. Herrero, 2004 .

Analysis of a Two-Fluid Taylor–Couette Flow with One Non-Newtonian Fluid

J. Velázquez, Tania Pernas-Castaño, Christina Lienstromberg, 2020, J. Nonlinear Sci..

The analysis of coating flows near the contact line

A. Friedman, J. Velázquez, 1995 .

Liouville type theorems for fourth order elliptic equations in a half plane

A. Friedman, J. Velázquez, 1997 .

Time-dependent coating flows in a strip, part I: The linearized problem

A. Friedman, J. Velázquez, 1997 .

The Fokker–Planck Equation with Absorbing Boundary Conditions

J. Velázquez, H. Hwang, J. Jang, 2013, 1311.4635.

Radiation dynamics in homogeneous plasma

Miguel A. Herrero, Miguel Escobedo, Juan J. L. Velázquez, 1999 .

Cusp formation for the undercooled Stefan problem in two and three dimensions

Juan J. L. Velázquez, J. Velázquez, 1997, European Journal of Applied Mathematics.

Singularity formation in the one-dimensional supercooled Stefan problem

Miguel A. Herrero, Juan J. L. Velázquez, M. A. Herrero, 1996, European Journal of Applied Mathematics.

Pile-Up Solutions for Some Systems of Conservation Laws Modelling Dislocation Interaction in Crystals

J. J. L. Velázquez, S. Jonathan Chapman, Ana Carpio, 2001, SIAM J. Appl. Math..

Analysis Of a Free Boundary Problem Arising in Bubble Dynamics

J. J. L. Velázquez, Zsolt Biró, J. Velázquez, 2000, SIAM J. Math. Anal..

On the dynamics of a semilinear heat equation with strong absorption

M. A. Herrero, J. Velázquez, 1989 .

A Parabolic Free Boundary Problem Arising in a Model of Cell Polarization

J. J. L. Velázquez, Barbara Niethammer, Matthias Röger, 2020, SIAM J. Math. Anal..

Point Dynamics in a Singular Limit of the Keller--Segel Model 2: Formation of the Concentration Regions

J. J. L. Velázquez, J. Velázquez, 2004, SIAM J. Appl. Math..

Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions

J. J. L. Velázquez, J. Velázquez, 2004, SIAM J. Appl. Math..

Stability of Some Mechanisms of Chemotactic Aggregation

J. J. L. Velázquez, J. Velázquez, 2002, SIAM J. Appl. Math..

Hopf bifurcation in structural population models

J. Velázquez, N. Hovsepyan, 2016, 1807.08897.

Mathematik in den Naturwissenschaften Leipzig Pattern Forming Instabilities Driven by Non-Diffusive Interaction by Ivano Primi ,

A. Stevens, J. Velázquez, 2009 .

Liouville theorems and blow up behaviour in semilinear reaction diffusion systems

Daniele Andreucci, Miguel A. Herrero, Juan J. L. Velázquez, 1997 .

Refined construction of type II blow-up solutions for semilinear heat equations with Joseph–Lundgren supercritical nonlinearity

J. Velázquez, 2020 .

J. Velázquez, Y. Sugiyama, 2011, Advances in Differential Equations.

On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains

J. Velázquez, H. Hwang, Jaewoo Jung, 2011, 1101.5472.

On global existence for the Vlasov–Poisson system in a half space

J. Velázquez, H. Hwang, 2009 .

Long-Time Asymptotics for Homoenergetic Solutions of the Boltzmann Equation: Collision-Dominated Case

R. James, J. Velázquez, A. Nota, 2019, Journal of Nonlinear Science.

Grow-up on the Boundary for a Semilinear Parabolic Problem

M. Fila, J. Velázquez, M. Winkler, 2005 .

Curvature blow-up in perturbations of minimal cones evolving by mean curvature flow

Juan J. L. Velázquez, J. Velázquez, 1994 .

Interacting particle systems with long-range interactions: scaling limits and kinetic equations

Alessia Nota, Raphael Winter, Juan Velázquez, 2020, Rendiconti Lincei - Matematica e Applicazioni.

Non-equilibrium Stationary Solutions for Multicomponent Coagulation Systems with Injection

Marina A. Ferreira, J. Lukkarinen, J. Velázquez, 2023, Journal of Statistical Physics.

Oscillatory traveling wave solutions for coagulation equations

J. Velázquez, B. Niethammer, 2017, 1702.02437.

On the Growth of a Particle Coalescing in a Poisson Distribution of Obstacles

J. Velázquez, A. Nota, 2016, 1608.08118.

Asymptotics of Self-similar Solutions to Coagulation Equations with Product Kernel

J. McLeod, J. Velázquez, B. Niethammer, 2011, 1103.2894.

Long-Time Asymptotics for Homoenergetic Solutions of the Boltzmann Equation: Collision-Dominated Case

Alessia Nota, Richard D. James, Juan J. L. Velázquez, 2018, J. Nonlinear Sci..

Alessia Nota, Richard D. James, Juan J. L. Velázquez, 2017, Archive for Rational Mechanics and Analysis.

Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations

J. Velázquez, A. Nota, 2022, Mathematics in Engineering.

Sol-gel transition in a coagulation-diffusion model

Dariusz Wrzosek, Miguel A. Herrero, Juan J. L. Velázquez, 2000 .

From a Non-Markovian System to the Landau Equation

J. Velázquez, Raphael Winter, 2017, 1707.07544.

On the Eshelby-Kostrov property for the wave equation in the plane

M. A. Herrero, J. Velázquez, G. Oleaga, 2006 .

Qualitative properties of solutions to a mass-conserving free boundary problem modeling cell polarization

J. Velázquez, B. Niethammer, Matthias Röger, 2023, Communications in Partial Differential Equations.

A Uniqueness Result for Self-Similar Profiles to Smoluchowski’s Coagulation Equation Revisited

J. Velázquez, B. Niethammer, S. Throm, 2016 .

A Uniqueness Result for Self-Similar Profiles to Smoluchowski’s Coagulation Equation Revisited

J. Velázquez, B. Niethammer, S. Throm, 2016, Journal of Statistical Physics.

Exponential Tail Behavior of Self-Similar Solutions to Smoluchowski's Coagulation Equation

J. Velázquez, B. Niethammer, 2013, 1310.4732.

J. Velázquez, B. Niethammer, 2011, Communications in Mathematical Physics.

Optimal bounds for self-similar solutions to coagulation equations with multiplicative kernel

J. Velázquez, B. Niethammer, 2010 .

A note on the dissolution of spherical crystals

M. A. Herrero, J. Velázquez, L. Herraiz, 2001, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

On the melting of ice balls

M. A. Herrero, J. Velázquez, 1997 .

A free boundary problem for the stokes system with contact lines

J. Velázquez, M. Fontelos, 1998 .

Miguel A. Herrero, Elena Medina, Juan J. L. Velázquez, 1998 .

Finite-time aggregation into a single point in a reaction - diffusion system

Miguel A. Herrero, Elena Medina, Juan J. L. Velázquez, 1997 .

Singular solutions of partial differential equations modelling chemotactic aggregation

J. Velázquez, 2006 .

Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion

M. A. Herrero, J. Velázquez, 1990 .

Asymptotic Behaviour Near Extinction Points for a Semilinear Equation with Strong Absorption

J. Velázquez, 1992 .

A Note on non-simultaneous blow-up for a drift-diffusion model

Angela Stevens, Elio Espejo, Juan J. L. Velázquez, 2010, Differential and Integral Equations.

Simultaneous finite time blow-up in a two-species model for chemotaxis

Angela Stevens, A. Stevens, J. Velázquez, 2009 .