Analysis of PDEs

Authors and titles for math.AP in Apr 2010

[1]  arXiv:1004.0036 [pdf, ps, other]

Title: Stability of Rarefaction Waves to the 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity

Authors: Quansen Jiu, Yi Wang, Zhouping Xin

Comments: 30 pages

Subjects: Analysis of PDEs (math.AP)

[2]  arXiv:1004.0161 [pdf, ps, other]

Title: On uniqueness and decay of solution for Hirota equation

Authors: Xavier Carvajal, Mahendra Panthee

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[3]  arXiv:1004.0233 [pdf, ps, other]

Title: Analysis of the Cahn-Hilliard equation with a chemical potential dependent mobility

Authors: Maurizio Grasselli, Alain Miranville, Riccarda Rossi, Giulio Schimperna

Subjects: Analysis of PDEs (math.AP)

[4]  arXiv:1004.0315 [pdf, ps, other]

Title: Inverse scattering at fixed energy on surfaces with Euclidean ends

Authors: Colin Guillarmou (DMA), Mikko Salo, Leo Tzou

Comments: 21 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[5]  arXiv:1004.0341 [pdf, ps, other]

Title: A phase-field approximation of the Willmore flow with volume constraint

Authors: Pierluigi Colli, Philippe Laurençot

Subjects: Analysis of PDEs (math.AP)

[6]  arXiv:1004.0572 [pdf, ps, other]

Title: Maximizing the spreading speed of KPP fronts in two-dimensional stratified media

Authors: Xing Liang, Xiaotao Lin, Hiroshi Matano

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[7]  arXiv:1004.0573 [pdf, ps, other]

Title: A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations

Authors: Xing Liang, Xiaotao Lin, Hiroshi Matano

Subjects: Analysis of PDEs (math.AP)

[8]  arXiv:1004.0717 [pdf, ps, other]

Title: Large Time Behavior of a Nonlocal Diffusion Equation with Absorption and Bounded Initial Data

Authors: Joana Terra, Noemi Wolanski

Subjects: Analysis of PDEs (math.AP)

[9]  arXiv:1004.0721 [pdf, ps, other]

Title: A new proof of long range scattering for critical nonlinear Schrödinger equations

Authors: Jun Kato, Fabio Pusateri

Comments: Improved introduction. Corrected typos

Subjects: Analysis of PDEs (math.AP)

[10]  arXiv:1004.0835 [pdf, ps, other]

Title: Unsteady Flows of Fluids with Pressure Dependent Viscosity in Unbounded Domains

Authors: Miroslav Bulíček, Mohamed Majdoub, Josef Málek

Comments: To appear in Nonlinear Analysis: Real World Applications.

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[11]  arXiv:1004.0909 [pdf, ps, other]

Title: Nonlinear stability of spatially-periodic traveling-wave solutions of systems of reaction diffusion equations

Authors: Mathew Johnson, Kevin Zumbrun

Subjects: Analysis of PDEs (math.AP)

[12]  arXiv:1004.0924 [pdf, ps, other]

Title: Radiative Decay of Bubble Oscillations in a Compressible Fluid

Authors: A. M. Shapiro, M. I. Weinstein

Comments: to appear in SIAM Journal on Mathematical Analysis

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Pattern Formation and Solitons (nlin.PS); Fluid Dynamics (physics.flu-dyn)

[13]  arXiv:1004.0932 [pdf, ps, other]

Title: Quasineutral limit of the Vlasov-Poisson system with massless electrons

Authors: Daniel Han-Kwan (DMA)

Comments: 37 pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[14]  arXiv:1004.0978 [pdf, ps, other]

Title: Geometric aspects of the periodic $μ$-Degasperis-Procesi equation

Authors: Joachim Escher, Martin Kohlmann, Boris Kolev

Comments: 17 pages

Journal-ref: Progr. Nonlinear Differential Equations Appl. 60 (2011) 193-209

Subjects: Analysis of PDEs (math.AP)

[15]  arXiv:1004.1096 [pdf, ps, other]

Title: Asymptotic behaviour of a porous medium equation with fractional diffusion

Authors: Luis Caffarelli, Juan Luis Vazquez

Comments: 18 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[16]  arXiv:1004.1101 [pdf, ps, other]

Title: Lipschitz continuity of solutions of Poisson equations in metric measure spaces

Authors: Renjin Jiang

Comments: Potential Analysis, to appear

Subjects: Analysis of PDEs (math.AP)

[17]  arXiv:1004.1187 [pdf, ps, other]

Title: Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations

Authors: Pengfei Guan, Lu Xu

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[18]  arXiv:1004.1221 [pdf, ps, other]

Title: Inviscid limit for the derivative Ginzburg-Landau equation with small data in higher spatial dimensions

Authors: Lijia Han, Baoxiang Wang, Boling Guo

Subjects: Analysis of PDEs (math.AP)

[19]  arXiv:1004.1432 [pdf, ps, other]

Title: Existence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers

Authors: John W. Barrett, Endre Süli

Comments: 75 pages

Journal-ref: Mathematical Models and Methods in Applied Sciences, Vol. 21, No. 6 (2011) 1211-1289

Subjects: Analysis of PDEs (math.AP)

[20]  arXiv:1004.1464 [pdf, ps, other]

Title: Conformal scattering for a nonlinear wave equation on a curved background

Authors: Jérémie Joudioux (LM)

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[21]  arXiv:1004.1618 [pdf, ps, other]

Title: Differentiability of Solutions to Second-Order Elliptic Equations via Dynamical Systems

Authors: Vladimir Maz'ya, Robert McOwen

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[22]  arXiv:1004.1639 [pdf, ps, other]

Title: The Yang-Mills heat semigroup on three-manifolds with boundary

Authors: Nelia Charalambous, Leonard Gross

Comments: 84 pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[23]  arXiv:1004.1715 [pdf, ps, other]

Title: Global well-posedness of the Maxwell-Dirac system in two space dimensions

Authors: Sigmund Selberg, Piero D'Ancona

Comments: Submitted version. Filled gap in local to global argument. Data norm now depends implicitly on existence time, and there is a log. loss in the nonlinear growth estimate, hence the scheme of Colliander et al. no longer applies directly. But using a monotonicity property of our norm we nevertheless get the global result after a double iteration

Subjects: Analysis of PDEs (math.AP)

[24]  arXiv:1004.1718 [pdf, ps, other]

Title: Smoothness of the trajectories of ideal fluid particles with Yudovich vorticities in a planar bounded domain

Authors: Franck Sueur

Subjects: Analysis of PDEs (math.AP)

[25]  arXiv:1004.1735 [pdf, ps, other]

Title: Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay

Authors: Matthieu Alfaro (I3M), Arnaud Ducrot (IMB)

Subjects: Analysis of PDEs (math.AP)

[26]  arXiv:1004.1827 [pdf, ps, other]

Title: Singular solutions of the subcritical nonlinear Schrodinger equation

Authors: Gadi Fibich

Subjects: Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS)

[27]  arXiv:1004.1866 [pdf, other]

Title: Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formation

Authors: Shantia Yarahmadian, Blake Barker, Kevin Zumbrun, Sidney L. Shaw

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[28]  arXiv:1004.1888 [pdf, ps, other]

Title: Stable Directions for Degenerate Excited States of Nonlinear Schrödinger Equations

Authors: Stephen Gustafson, Tuoc Van Phan

Comments: 55 pages, 4 figures

Subjects: Analysis of PDEs (math.AP)

[29]  arXiv:1004.1905 [pdf, ps, other]

Title: Blow up in several points for the nonlinear Schrödinger equation on a bounded domain

Authors: Nicolas Godet

Subjects: Analysis of PDEs (math.AP)

[30]  arXiv:1004.1906 [pdf, ps, other]

Title: Regularity of radial extremal solutions for some non local semilinear equations

Authors: Antonio Capella, Juan Dávila, Louis Dupaigne, Yannick Sire

Subjects: Analysis of PDEs (math.AP)

[31]  arXiv:1004.2002 [pdf, ps, other]

Title: Global Uniqueness of Steady Transonic Shocks in Two-Dimensional Compressible Euler Flows

Authors: Beixiang Fang, Li Liu, Hairong Yuan

Comments: 26 pages, 9 figures

Subjects: Analysis of PDEs (math.AP)

[32]  arXiv:1004.2134 [pdf, ps, other]

Title: Partial Differential Equations An Introduction

Authors: A.D.R. Choudary, Saima Parveen, Constantin Varsan

Comments: 204 pages

Subjects: Analysis of PDEs (math.AP)

[33]  arXiv:1004.2177 [pdf, ps, other]

Title: Stability of trajectories for N -particles dynamics with singular potential

Authors: Julien Barré (JAD), Maxime Hauray (LATP), Pierre-Emmanuel Jabin (JAD, INRIA Sophia Antipolis / INRIA Lorraine / IECN)

Journal-ref: Journal of Statistical Mechanics: Theory and Experiment 2010, 7 (2010) P07005

Subjects: Analysis of PDEs (math.AP)

[34]  arXiv:1004.2183 [pdf, ps, other]

Title: Transverse spectral stability of small periodic traveling waves for the KP equation

Authors: Mariana Haragus (LM-Besançon)

Subjects: Analysis of PDEs (math.AP)

[35]  arXiv:1004.2192 [pdf, ps, other]

Title: Global existence and regularity for the full coupled Navier-Stokes and Q-tensor system

Authors: Marius Paicu, Arghir Zarnescu

Subjects: Analysis of PDEs (math.AP)

[36]  arXiv:1004.2225 [pdf, ps, other]

Title: Action functional and quasi-potential for the Burgers equation in a bounded interval

Authors: Lorenzo Bertini, Alberto De Sole, Davide Gabrielli, Giovanni Jona-Lasinio, Claudio Landim

Journal-ref: Comm. Pure Appl. Math., 64 (2011) 649-696

Subjects: Analysis of PDEs (math.AP); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Probability (math.PR)

[37]  arXiv:1004.2246 [pdf, ps, other]

Title: Stability for the determination of unknown boundary and impedance with a Robin boundary condition

Authors: Eva Sincich

Subjects: Analysis of PDEs (math.AP)

[38]  arXiv:1004.2259 [pdf, ps, other]

Title: Multilinear embedding estimates for the fractional Laplacian

Authors: William Beckner

Comments: AMSLaTeX, 13 pages, Expanded material

Subjects: Analysis of PDEs (math.AP)

[39]  arXiv:1004.2274 [pdf, ps, other]

Title: A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity

Authors: Andrew Lorent

Comments: 16 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[40]  arXiv:1004.2298 [pdf, ps, other]

Title: Partial Regularity of a minimizer of the relaxed energy for biharmonic maps

Authors: Min-Chun Hong, Hao Yin

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[41]  arXiv:1004.2517 [pdf, ps, other]

Title: Upper and lower bounds for normal derivatives of spectral clusters of Dirichlet Laplacian

Authors: Xiangjin Xu

Comments: 14 pages, Rewrite section 6 (the appendix) and correct a mistake in section 6

Subjects: Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[42]  arXiv:1004.2596 [pdf, ps, other]

Title: Concentration of symmetric eigenfunctions

Authors: Daniel Azagra, Fabricio Macia

Comments: 8 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG); Spectral Theory (math.SP)

[43]  arXiv:1004.2646 [pdf, ps, other]

Title: N-soliton states of the FPU lattices

Authors: Tetsu Mizumachi

Comments: 33 pages, no figure.

Subjects: Analysis of PDEs (math.AP)

[44]  arXiv:1004.2768 [pdf, ps, other]

Title: On stabilization and control for the critical Klein-Gordon equation on a 3-D compact manifold

Authors: Camille Laurent (LM-Orsay)

Subjects: Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[45]  arXiv:1004.2775 [pdf, ps, other]

Title: Existence of ground states for fourth-order wave equations

Authors: Paschalis Karageorgis, P.J. McKenna

Subjects: Analysis of PDEs (math.AP)

[46]  arXiv:1004.2866 [pdf, ps, other]

Title: Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian

Authors: Xavier Cabre, Eleonora Cinti

Subjects: Analysis of PDEs (math.AP)

[47]  arXiv:1004.2938 [pdf, ps, other]

Title: Improved breakdown criterion for Einstein vacuum equations in CMC gauge

Authors: Qian Wang

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[48]  arXiv:1004.2955 [pdf, ps, other]

Title: KPP reaction-diffusion equations with a non-linear loss inside a cylinder

Authors: Thomas Giletti

Subjects: Analysis of PDEs (math.AP)

[49]  arXiv:1004.2973 [pdf, other]

Title: Sign changing solutions of some integral equaitons with critical sobolev exponents

Authors: Chen Shibing

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[50]  arXiv:1004.3013 [pdf, ps, other]

Title: Non-autonomous Ornstein-Uhlenbeck equations in exterior domains

Authors: Tobias Hansel, Abdelaziz Rhandi

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)