On the public citation graph
Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
0 signed · 105 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4612-5282-5openalex-snapshot
Maximum Principles in Differential Equations
inferredcites →https://doi.org/10.1007/bf00250508openalex-snapshot
Quasilinear Dirichlet problems driven by positive sources
inferredcites →https://doi.org/10.1007/bf00280741openalex-snapshot
Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
inferredcites →https://doi.org/10.1016/0022-0396(76)90126-1openalex-snapshot
Supersolutions, monotone iterations, and stability
inferredcites →https://doi.org/10.1017/s0004972700023352openalex-snapshot
A non-linear boundary value problem arising in the theory of thermal explosions
inferredcites →https://doi.org/10.1090/pspum/018.1/0269995openalex-snapshot
On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations
inferredcites →https://doi.org/10.1090/s0002-9904-1969-12175-0openalex-snapshot
On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}
inferredcites →https://doi.org/10.1090/trans2/029/12openalex-snapshot
Some problems in the theory of quasilinear equations
inferredcites →https://doi.org/10.1093/qmath/28.4.473openalex-snapshot
REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
inferredcites →https://doi.org/10.1137/0140040openalex-snapshot
A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
inferredcites →https://doi.org/10.1137/1018114openalex-snapshot
Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4596763openalex-extracted
Analysis for Parabolic Equations Based on the Results About Ode
inferred← citeshttps://doi.org/10.1002/cnm.1640110806openalex-snapshot
The method of fundamental solutions for non‐linear thermal explosions
inferred← citeshttps://doi.org/10.1002/mma.854openalex-snapshot
Asymptotic analysis and estimates of blow‐up time for the radial symmetric semilinear heat equation in the open‐spectrum case
inferred← citeshttps://doi.org/10.1002/num.22161openalex-snapshot
A modified method of approximate particular solutions for solving linear and nonlinear PDEs
inferred← citeshttps://doi.org/10.1006/jdeq.2000.3903openalex-snapshot
Nonlinear Balance for Reaction-Diffusion Equations under Nonlinear Boundary Conditions: Dissipativity and Blow-up
inferred← citeshttps://doi.org/10.1006/jmaa.1997.5900openalex-snapshot
A Necessary and Sufficient Condition for Global Existence for a Degenerate Parabolic Boundary Value Problem
inferred← citeshttps://doi.org/10.1006/jmaa.1999.6664openalex-snapshot
Blow-up Criteria for Semilinear Parabolic Equations
inferred← citeshttps://doi.org/10.1007/978-1-4612-0885-3_7openalex-snapshot
Some Results on Blow up for Semilinear Parabolic Problems
inferred← citeshttps://doi.org/10.1007/978-1-4613-9605-5_19openalex-snapshot
Blow-up of solutions of nonlinear parabolic equations
inferred← citeshttps://doi.org/10.1007/978-3-319-67944-0openalex-snapshot
Non-Local Partial Differential Equations for Engineering and Biology
inferred← citeshttps://doi.org/10.1007/978-3-7643-7794-6_23openalex-snapshot
No Radial Symmetries in the Arrhenius-Semenov Thermal Explosion Equation
inferred← citeshttps://doi.org/10.1007/978-94-009-2770-4_24openalex-snapshot
Characterizing Self-Similar Blow-Up
inferred← citeshttps://doi.org/10.1007/bf00945760openalex-snapshot
Blow-up of solutions of semilinear parabolic differential equations
inferred← citeshttps://doi.org/10.1007/pl00001499openalex-snapshot
The influence of two moving heat sources on blow-up in a reactive-diffusive medium
inferred← citeshttps://doi.org/10.1007/s000330050059openalex-snapshot
Critical speed for the avoidance of blow-up in a reactive-diffusive medium
inferred← citeshttps://doi.org/10.1007/s002050050091openalex-snapshot
Global Existence for Reaction-Diffusion Systems Modelling Ignition
inferred← citeshttps://doi.org/10.1007/s10665-014-9759-5openalex-snapshot
On the stability of initial conditions for the parabolic Gelfand problem
inferred← citeshttps://doi.org/10.1007/s11401-018-1056-6openalex-snapshot
Quenching phenomenon for a parabolic MEMS equation
inferred← citeshttps://doi.org/10.1007/s11425-008-0135-7openalex-snapshot
Propagations of singularities in a parabolic system with coupling nonlocal sources
inferred← citeshttps://doi.org/10.1007/s42985-022-00152-9openalex-snapshot
On refined blowup estimates for the exponential reaction-diffusion equation
inferred← citeshttps://doi.org/10.1016/0022-247x(88)90052-2openalex-snapshot
Blowup of solutions of semilinear parabolic equations
inferred← citeshttps://doi.org/10.1016/0022-247x(88)90261-2openalex-snapshot
Blow-up of solutions of nonlinear heat equations
inferred← citeshttps://doi.org/10.1016/0022-247x(92)90081-nopenalex-snapshot
The blowup property of solutions to some diffusion equations with localized nonlinear reactions
inferred← citeshttps://doi.org/10.1016/0022-247x(92)90318-8openalex-snapshot
Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory
inferred← citeshttps://doi.org/10.1016/b978-0-12-195255-6.50012-xopenalex-snapshot
Blow-Up of Solutions of Nonlinear Evolution Equations
inferred← citeshttps://doi.org/10.1016/j.aml.2012.07.017openalex-snapshot
Blow-up for a reaction–diffusion equation with variable coefficient
inferred← citeshttps://doi.org/10.1016/j.aml.2014.11.006openalex-snapshot
On the finite time blow-up for filtration problems with nonlinear reaction
inferred← citeshttps://doi.org/10.1016/j.camwa.2016.04.027openalex-snapshot
Threshold results for semilinear parabolic systems
inferred← citeshttps://doi.org/10.1016/j.jde.2008.10.018openalex-snapshot
An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source
inferred← citeshttps://doi.org/10.1016/j.jmaa.2003.12.011openalex-snapshot
Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources
inferred← citeshttps://doi.org/10.1016/j.jmaa.2003.12.038openalex-snapshot
A sufficient condition for blowup solutions of nonlinear heat equations
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.03.054openalex-snapshot
Estimates for the quenching time of a MEMS equation with fringing field
inferred← citeshttps://doi.org/10.1016/j.na.2013.02.028openalex-snapshot
Positive stationary solutions and threshold results for the non-homogeneous semilinear parabolic equation with Robin boundary conditions
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2006.12.002openalex-snapshot
The effects of heat exchange and fluid production on the ignition of a porous solid
inferred← citeshttps://doi.org/10.1016/j.physd.2023.133660openalex-snapshot
Blow up in a periodic semilinear heat equation
inferred← citeshttps://doi.org/10.1016/s0252-9602(12)60085-xopenalex-snapshot
Uniform blow-up profiles for heat equations with coupling nonlocal sources of asymmetric mixed type nonlinearities
inferred← citeshttps://doi.org/10.1016/s0252-9602(12)60180-5openalex-snapshot
Threshold Result for Semilinear Parabolic Equations with Indefinite Non-Homogeneous Term
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30352-3openalex-snapshot
A description of self-similar Blow-up for dimensions $n ⩾ 3$
inferred← citeshttps://doi.org/10.1016/s0362-546x(01)00849-5openalex-snapshot
Blow-up rates in a parabolic system of ignition model
inferred← citeshttps://doi.org/10.1016/s0362-546x(97)00354-4openalex-snapshot
Critical speed to avoid blow-up in diffusive medium
inferred← citeshttps://doi.org/10.1016/s0377-0427(98)00105-8openalex-snapshot
Diffusion models with blow-up
inferred← citeshttps://doi.org/10.1016/s1874-5717(06)80005-8openalex-snapshot
Blow-up of Solutions of Supercritical Parabolic Equations
inferred← citeshttps://doi.org/10.1016/s1874-5733(08)80019-8openalex-snapshot
Singular Solutions of Semi-Linear Elliptic Problems
inferred← citeshttps://doi.org/10.1016/s1874-575x(02)80035-2openalex-snapshot
Blow-up in Nonlinear Heat Equations from the Dynamical Systems Point of View
inferred← citeshttps://doi.org/10.1017/s001309150002280xopenalex-snapshot
Asymptotic behaviour and blow-up of some unbounded solutions for a semilinear heat equation
inferred← citeshttps://doi.org/10.1017/s0013091504001610openalex-snapshot
ESTIMATES OF BLOW-UP TIME FOR A NON-LOCAL REACTIVE–CONVECTIVE PROBLEM MODELLING OHMIC HEATING OF FOODS
inferred← citeshttps://doi.org/10.1017/s0308210500018266openalex-snapshot
Existence for the modified Kassoy problem
inferred← citeshttps://doi.org/10.1017/s0308210500019120openalex-snapshot
Global blow-up of a nonlinear heat equation
inferred← citeshttps://doi.org/10.1017/s0308210500022113openalex-snapshot
Global existence and convergence to a singular steady state for a semilinear heat equation
inferred← citeshttps://doi.org/10.1017/s0308210500025609openalex-snapshot
The form of blow-up for nonlinear parabolic equations
inferred← citeshttps://doi.org/10.1017/s0334270000003751openalex-snapshot
Steady states of the reaction-diffusion equations. Part 1: Questions of existence and continuity of solution branches
inferred← citeshttps://doi.org/10.1017/s0334270000007086openalex-snapshot
Critical initial conditions for spatially-distributed thermal explosions
inferred← citeshttps://doi.org/10.1017/s095679250000173xopenalex-snapshot
Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
inferred← citeshttps://doi.org/10.1017/s0956792500001807openalex-snapshot
Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway
inferred← citeshttps://doi.org/10.1051/mmnp/201510607openalex-snapshot
A Mathematical Model for Flash Sintering
inferred← citeshttps://doi.org/10.1051/mmnp/201510607/pdfopenalex-snapshot
A Mathematical Model for Flash Sintering
inferred← citeshttps://doi.org/10.1080/00036811.2018.1510490openalex-snapshot
Quenching of the solution to the discrete heat equation with logarithmic type sources on graphs
inferred← citeshttps://doi.org/10.1080/09720502.2007.10700515openalex-snapshot
Convergence of stationary solutions of reaction-diffusion problems
inferred← citeshttps://doi.org/10.1080/09720502.2008.10700542openalex-snapshot
Lower bounds of the blow-up time for reactions
inferred← citeshttps://doi.org/10.1088/1361-6544/ad700bopenalex-snapshot
Complex-plane singularity dynamics for blow up in a nonlinear heat equation: analysis and computation
inferred← citeshttps://doi.org/10.1088/2632-2153/ad51cdopenalex-snapshot
Investigating the ability of PINNs to solve Burgers’ PDE near finite-time blowup
inferred← citeshttps://doi.org/10.1090/bull/1563openalex-snapshot
Some singular equations modeling MEMS
inferred← citeshttps://doi.org/10.1090/cln/020openalex-snapshot
Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS
inferred← citeshttps://doi.org/10.1109/16.974765openalex-snapshot
Applications of blow-up theory to thyristor turn-on
inferred← citeshttps://doi.org/10.1109/icmt.2011.6002625openalex-snapshot
Global existence and blow-up for a parabolic system with nonlocal sources
inferred← citeshttps://doi.org/10.1109/melcon.2004.1346768openalex-snapshot
Filamentation and blow-up ignition in p-n-p-n devices
inferred← citeshttps://doi.org/10.1112/plms/pdu037openalex-snapshot
A fourth-order model for MEMS with clamped boundary conditions
inferred← citeshttps://doi.org/10.1137/0518054openalex-snapshot
The Blow-Up Time for Solutions of Nonlinear Heat Equations with Small Diffusion
inferred← citeshttps://doi.org/10.1137/0518055openalex-snapshot
A Criterion for Blow-Up of Solutions to Semilinear Heat Equations
inferred← citeshttps://doi.org/10.1137/0520060openalex-snapshot
Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
inferred← citeshttps://doi.org/10.1137/0521079openalex-snapshot
Finite-Time Blowup for a Particular Parabolic System
inferred← citeshttps://doi.org/10.1142/s0218127402005893openalex-snapshot
SOME QUALITATIVE DYNAMICS OF NONLINEAR BOUNDARY CONDITIONS
inferred← citeshttps://doi.org/10.11606/d.55.2006.tde-23022007-103210openalex-snapshot
Blow-up de soluções positivas de equações semilineares
inferred← citeshttps://doi.org/10.1205/095758204322972799openalex-snapshot
The Ignition of Low-Exothermicity Solids by Local Heating
inferred← citeshttps://doi.org/10.2748/tmj/1223057730openalex-snapshot
Nonconstant selfsimilar blow-up profile for the exponential reaction-diffusion equation
inferred← citeshttps://doi.org/10.2977/prims/1195169267openalex-snapshot
On Blow-up of Solutions for Quasilinear Degenerate Parabolic Equations
inferred← citeshttps://doi.org/10.3233/asy-1994-9101openalex-snapshot
Blow-up under oscillatory boundary conditions
inferred← citeshttps://doi.org/10.3390/math8112045openalex-snapshot
Meshless Analysis of Nonlocal Boundary Value Problems in Anisotropic and Inhomogeneous Media
inferred← citeshttps://doi.org/10.3934/cpaa.2013.12.2935openalex-snapshot
Blow-up for a non-local diffusion equation with exponential reaction term and Neumann boundary condition
inferred← citeshttps://doi.org/10.3934/dcds.2015.35.1009openalex-snapshot
On the quenching behaviour of a semilinear wave equation modelling MEMS technology
inferred← citeshttps://doi.org/10.3934/era.2026028openalex-snapshot
Double thresholds for blowup and global existence of the solution to a system of parabolic equations
inferred← citeshttps://doi.org/10.4064/bc66-0-16openalex-snapshot
Blow-up time estimates for a non-local reactive-convective problem modelling sterilization of food
inferred← citeshttps://doi.org/10.4171/rlm/453openalex-snapshot
Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up
inferred← citeshttps://doi.org/10.4310/maa.2008.v15.n3.a8openalex-snapshot
Estimates for the Quenching Time of a Parabolic Equation Modeling Electrostatic MEMS
inferred← citeshttps://doi.org/10.48550/arxiv.1702.07080openalex-snapshot
Well-posedness of a fourth order evolution equation Modeling MEMS
inferred← citeshttps://doi.org/10.48550/arxiv.2001.07529openalex-snapshot
Quenching, global existence and blowup phenomena in heat transfer
inferred← citeshttps://doi.org/10.57262/ade/1366291412openalex-snapshot
Global solutions of a semilinear parabolic equation
inferred← citeshttps://doi.org/10.57262/ade/1366896315openalex-snapshot
Blow up for $u_t-\Delta u=g(u)$ revisited
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.