Peter V. Gordon

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All published works

Action	Title	Year	Authors
+ PDF Chat	Octonionic Calabi–Yau Theorem	2024	Semyon Alesker Peter V. Gordon
+	On dynamics of gasless combustion in slowly varying periodic media	2024	Amanda Matson Leonid Kagan Claude-Michel Brauner Gregory Sivashinsky Peter V. Gordon
+ PDF Chat	On dynamics of gasless combustion in slowly varying periodic media: periodic fronts, their stability and propagation-extinction-diffusion-reignition pattern	2024	Amanda Matson Leonid Kagan Claude-Michel Brauner Gregory Sivashinsky Peter V. Gordon
+ PDF Chat	An elementary model for an advancing autoignition front in laminar reactive co-flow jets injected into supercritical water	2024	Amanda Matson M. Hicks Uday Hegde Peter V. Gordon
+	A Basic Homogenization Problem for the p-Laplacian in $$\mathbb {R}^d$$ Perforated along a Sphere: $$L^\infty $$ Estimates	2024	Peter V. Gordon Fëdor Nazarov Yuval Peres
+	Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order	2023	Amanda Matson Claude-Michel Brauner Peter V. Gordon
+	Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order	2023	Amanda Matson Claude-Michel Brauner Peter V. Gordon
+	An elementary model for an advancing autoignition front in laminar reactive co-flow jets injected into supercritical water	2023	Amanda Matson M. Hicks Uday Hegde Peter V. Gordon
+	A basic homogenization problem for the $p$-Laplacian in ${\mathbb R}^d$ perforated along a sphere: $L^\infty$ estimates	2022	Peter V. Gordon Fëdor Nazarov Yuval Peres
+	Parametric transition from deflagration to detonation in stellar medium	2021	Peter V. Gordon Leonid Kagan Gregory Sivashinsky
+	Modeling of thermonuclear fusion flames : transition to detonation	2021	Peter V. Gordon Leonid Kagan Gregory Sivashinsky
+	Gelfand-type problem for turbulent jets	2020	Peter V. Gordon Vitaly Moroz Fëdor Nazarov
+	Complete blow up for a parabolic system arising in a theory of thermal explosion in porous media	2017	Peter V. Gordon Thomas Ian Hill Gregory Sivashinsky
+ PDF Chat	Strongly Nonlinear Asymptotic Model of Cellular Instabilities in Premixed Flames with Stepwise Ignition-Temperature Kinetics	2017	Nathan Kilker Dmitry Golovaty Peter V. Gordon Leonid Kagan Gregory Sivashinsky
+	Strongly nonlinear asymptotic model of cellular instabilities in premixed flames with stepwise ignition temperature kinetics	2016	Nathan Kilker Dmitry Golovaty Peter V. Gordon Leonid Kagan Gregory Sivashinsky
+	Strongly nonlinear asymptotic model of cellular instabilities in premixed flames with stepwise ignition temperature kinetics	2016	Nathan Kilker Dmitry Golovaty Peter V. Gordon Leonid Kagan Gregory Sivashinsky
+ PDF Chat	Eventual Self-similarity of Solutions for the Diffusion Equation with Nonlinear Absorption and a Point Source	2015	Peter V. Gordon Cyrill B. Muratov
+ PDF Chat	Gelfand-type problem for two-phase porous media	2014	Peter V. Gordon Vitaly Moroz
+	Multiplicity and uniqueness of positive solutions for elliptic equations with nonlinear boundary conditions arising in a theory of thermal explosion	2013	Peter V. Gordon Eunkyung Ko R. Shivaji
+	Convective combustion in porous media: singular limit of high activation energy	2012	Peter V. Gordon Georg S. Weiss
+ PDF Chat	Multiplicity of supercritical fronts for reaction–diffusion equations in cylinders	2012	Peter V. Gordon Cyrill B. Muratov Matteo Novaga
+ PDF Chat	Self-similarity and long-time behavior of solutions of the diffusion equation with nonlinear absorption and a boundary source	2012	Peter V. Gordon Cyrill B. Muratov
+ PDF Chat	Self-similar dynamics of morphogen gradients	2011	Cyrill B. Muratov Peter V. Gordon Stanislav Y. Shvartsman
+	A minimal model for end-gas autoignition	2011	Leonid Kagan Peter V. Gordon Gregory Sivashinsky
+ PDF Chat	Local kinetics of morphogen gradients	2011	Peter V. Gordon Christine Sample Alexander M. Berezhkovskii Cyrill B. Muratov Stanislav Y. Shvartsman
+	On thermal explosion in porous media	2010	Peter V. Gordon
+	Stability of fronts and transient behaviour in KPP systems	2010	Anna Ghazaryan Peter V. Gordon Alexander Virodov
+	KPP type flame fronts in porous media	2008	Anna Ghazaryan Peter V. Gordon
+ PDF Chat	A Reduced Model for Flame-Flow Interaction	2007	Peter V. Gordon Michael L. Frankel G. Sivashinsky
+	A stretch-temperature model for flame-flow interaction	2006	Michael L. Frankel Peter V. Gordon Gregory Sivashinsky
+	The KPP system in a periodic flow with a heat loss	2004	Peter V. Gordon Lenya Ryzhik Natalia Vladimirova
+ PDF Chat	Fast subsonic combustion as a free-interface problem	2003	Peter V. Gordon Leonid Kagan Gregory Sivashinsky
+	Merging and interacting wave fronts for reaction - diffusion equations	1999	Peter V. Gordon S. A. Vakulenko
+ PDF Chat	Распространение и рассеяние кинков в неоднородной нелинейной среде	1997	S. A. Vakulenko S. A. Vakulenko Peter V. Gordon Peter V. Gordon

Common Coauthors

Coauthor	Papers Together
Gregory Sivashinsky	11
Leonid Kagan	7
Amanda Matson	6
Cyrill B. Muratov	5
Claude-Michel Brauner	4
Dmitry Golovaty	3
Nathan Kilker	3
Fëdor Nazarov	3
Stanislav Y. Shvartsman	2
Uday Hegde	2
M. Hicks	2
Leonid Kagan	2
Vitaly Moroz	2
Anna Ghazaryan	2
S. A. Vakulenko	2
Michael L. Frankel	2
Yuval Peres	2
Eunkyung Ko	1
R. Shivaji	1
Lenya Ryzhik	1
G. I. Sivashinsky	1
Christine Sample	1
Natalia Vladimirova	1
Thomas Ian Hill	1
Alexander Virodov	1
Georg S. Weiss	1
Alexander M. Berezhkovskii	1
Matteo Novaga	1
Semyon Alesker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Maximum Principles in Differential Equations	1984	Murray H. Protter Hans F. Weinberger	5
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	5
+	Variational problems related to self-similar solutions of the heat equation	1987	Miguel Escobedo Otared Kavian	3
+ PDF Chat	Singular Solutions of the Heat Equation with Absorption	1985	S. Kamin L. A. Peletier	3
+	Travelling wavefronts of reaction-diffusion equations in cylindrical domains	1993	José M. Vega	3
+	Nonlinear Parabolic Equations Involving Measures as Initial Conditions	1981	Haı̈m Brezis Avner Friedman	3
+ PDF Chat	The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology	2009	Hans G. Othmer Kevin J. Painter David M. Umulis Chunyan Xue	3
+ PDF Chat	Some problems in the theory of quasilinear equations	1963	I. M. Gel′fand	3
+ PDF Chat	Front propagation in infinite cylinders. I. A variational approach	2008	Cyrill B. Muratov Matteo Novaga	3
+	The approach of solutions of nonlinear diffusion equations to travelling front solutions	1977	Paul C. Fife J. B. McLeod	3
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	3
+ PDF Chat	Local kinetics of morphogen gradients	2011	Peter V. Gordon Christine Sample Alexander M. Berezhkovskii Cyrill B. Muratov Stanislav Y. Shvartsman	3
+ PDF Chat	Blow up for $u_t-\Delta u=g(u)$ revisited	1996	Haı̈m Brezis Thierry Cazenave Yvan Martel Arthur Ramiandrisoa	3
+	Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction‐diffusion equations invading an unstable equilibrium	2004	Marcello Lucia Cyrill B. Muratov Matteo Novaga	3
+	Stability of Gasless Combustion Fronts in One-Dimensional Solids	2010	Anna Ghazaryan Yuri Latushkin Stephen Schecter Aparecido J. de Souza	3
+	ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION	1986	В. А. Галактионов S. P. Kurdyumov A. A. Samarskiĭ	3
+ PDF Chat	Singular solutions of the heat equation with absorption	1985	S. Kamin L. A. Peletier	3
+ PDF Chat	A unified mechanism for unconfined deflagration-to-detonation transition in terrestrial chemical systems and type Ia supernovae	2019	Alexei Poludnenko Jessica Chambers Kareem A. Ahmed Vadim N. Gamezo Brian D. Taylor	2
+	Gelfand-type problem for turbulent jets	2020	Peter V. Gordon Vitaly Moroz Fëdor Nazarov	2
+ PDF Chat	A note on maximal solutions of nonlinear parabolic equations with absorption	2011	Лаурент Верон	2
+ PDF Chat	A note on maximal solutions of nonlinear parabolic equations with absorption	2011	Лаурент Верон	2
+	Invariant Manifolds for Parabolic Partial Differential Equations on Unbounded Domains	1997	C. Eugene Wayne	2
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	2
+ PDF Chat	Spontaneous Transition of Turbulent Flames to Detonations in Unconfined Media	2011	Alexei Poludnenko Thomas Gardiner Elaine S. Oran	2
+	Deflagration-to-detonation transition in an unconfined space	2018	Andrey Koksharov V. Bykov Leonid Kagan Gregory Sivashinsky	2
+ PDF Chat	Strongly Nonlinear Asymptotic Model of Cellular Instabilities in Premixed Flames with Stepwise Ignition-Temperature Kinetics	2017	Nathan Kilker Dmitry Golovaty Peter V. Gordon Leonid Kagan Gregory Sivashinsky	2
+	Equazioni differenziali nel campo reale	1948	Giovanni Sansone	2
+	A Study of the Diffusion Equation with Increase in the Amount of Substance, and its Application to a Biological Problem	1991	V. М. Tikhomirov	2
+	Blow-up in Nonlinear Heat Equations from the Dynamical Systems Point of View	2002	Марек Фила Hiroshi Matano	2
+ PDF Chat	Reaction–diffusion equations with nonlinear boundary conditions in narrow domains	2008	Mark Freidlin Konstantinos V. Spiliopoulos	2
+	An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation	1979	B. J. Matkowsky G. I. Sivashinsky	2
+	A global variational structure and propagation of disturbances in reaction-diffusion systems of gradient type	2004	Cyrill B. Muratov	2
+	Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems	1975	Michael G. Crandall Paul H. Rabinowitz	2
+ PDF Chat	Stable nongaussian diffusive profiles	1996	Jean Bricmont A. Kupiainen	2
+ PDF Chat	Reaction-diffusion waves with nonlinear boundary conditions	2013	Narcisa Apreutesei Vitaly Volpert	2
+ PDF Chat	Self-similar dynamics of morphogen gradients	2011	Cyrill B. Muratov Peter V. Gordon Stanislav Y. Shvartsman	2
+ PDF Chat	Asymptotic behaviour of solutions of some semilinear parabolic problems	1999	Luis A. Herraiz	2
+	A variational approach to travelling waves	2001	Steffen Heinze	2
+	Positive solutions of convex nonlinear eigenvalue problems	1974	James P. Keener Herbert B. Keller	2
+	When are solutions to nonlinear elliptic boundary value problems convex?	1985	Bernhard Kawohl	2
+	Existence of travelling wave solutions for the heat equation in infinite cylinders with a nonlinear boundary condition	2008	Mads Kyed	2
+ PDF Chat	Fast subsonic combustion as a free-interface problem	2003	Peter V. Gordon Leonid Kagan Gregory Sivashinsky	2
+	On the stability of waves of nonlinear parabolic systems	1976	D. H. Sattinger	2
+	Large time behavior of solutions of a dissipative semilnear heat equation	1995	Miguel Escobedo Otared Kavian Hiroshi Matano	2
+	On the equation of a curved flame front	1988	Michael L. Frankel G. Sivashinsky	2
+	On thermal explosion in porous media	2010	Peter V. Gordon	2
+	Self-similarity and intermediate asymptotics	2003	Г. И. Баренблатт	2
+	Some problems in the theory of quasilinear equations	1987	I. M. Gel'fand	2
+ PDF Chat	Fundamental Limits to Position Determination by Concentration Gradients	2007	Filipe Tostevin Pieter Rein ten Wolde Martin Howard	2
+ PDF Chat	Bulk Burning Rate in¶Passive–Reactive Diffusion	2000	Peter Constantin Alexander Kiselev Adam M. Oberman Leonid Ryzhik	2