SI BPNEMP 2024 : SPECIAL ISSUE on Blow-up Phenomena in Nonlinear Equations of Mathematical Physics
Call For Papers
𝙎𝙋𝙀𝘾𝙄𝘼𝙇 𝙄𝙎𝙎𝙐𝙀 𝙤𝙣 𝘽𝙡𝙤𝙬-𝙪𝙥 𝙋𝙝𝙚𝙣𝙤𝙢𝙚𝙣𝙖 𝙞𝙣 𝙉𝙤𝙣𝙡𝙞𝙣𝙚𝙖𝙧 𝙀𝙦𝙪𝙖𝙩𝙞𝙤𝙣𝙨 𝙤𝙛 𝙈𝙖𝙩𝙝𝙚𝙢𝙖𝙩𝙞𝙘𝙖𝙡 𝙋𝙝𝙮𝙨𝙞𝙘𝙨
An important branch in the theory of evolution equations is the study of unbounded solutions, a phenomenon known as blow-up behavior (physical terminology). Evolution problems having unbounded solutions are not solvable globally in time. Namely, the solutions grow without bound in finite time intervals. The blow-up effect occurs in many interesting physical phenomena. For instance, when a sea wave tumbles to the shore, when a nuclear bomb explodes, or when a computer breaks down due to an electrical breakdown.
The aim of this special issue of 𝗗𝗲𝗺𝗼𝗻𝘀𝘁𝗿𝗮𝘁𝗶𝗼 𝗠𝗮𝘁𝗵𝗲𝗺𝗮𝘁𝗶𝗰𝗮 (𝗜𝗙 𝟮𝟬𝟮𝟮: 𝟮.𝟬) is to collect excellent and original research articles related to global-in-time solvability and blow-up for a finite time of initial-value and initial-boundary-value problems for nonlinear equations arising in mathematical physics. Submission topics may include but are not limited to
• Blow-up for parabolic equations
• Blow-up for hyperbolic equations
• Critical exponents for semi-linear equations
• Nonexistence for nonlinear evolution inequalities
• life-span estimates
• Nonlinear Schrödinger equations
• Nonlinear Sobolev-type equations
• Elliptic equations and inequalities
• Liouville-type theorems
• Fractional (in time or in space) evolution equations
• Nonlinear evolution equations in Riemannian manifolds
• Computation of the numerical blow-up time
Bessem Samet, Department of Mathematics, College of Science, King Saud University, Saudi Arabia
The deadline for submissions is 𝗠𝗔𝗥𝗖𝗛 𝟭𝟱, 𝟮𝟬𝟮𝟰, but individual papers will be reviewed and published online on an ongoing basis.
𝙃𝙊𝙒 𝙏𝙊 𝙎𝙐𝘽𝙈𝙄𝙏
All submissions to the Special Issue must be made electronically via the online submission system Editorial Manager
Please, choose the category “𝘚𝘱𝘦𝘤𝘪𝘢𝘭 𝘐𝘴𝘴𝘶𝘦 𝘰𝘯 𝘉𝘭𝘰𝘸-𝘶𝘱 𝘗𝘩𝘦𝘯𝘰𝘮𝘦𝘯𝘢 𝘪𝘯 𝘕𝘰𝘯𝘭𝘪𝘯𝘦𝘢𝘳 𝘌𝘲𝘶𝘢𝘵𝘪𝘰𝘯𝘴 𝘰𝘧 𝘔𝘢𝘵𝘩𝘦𝘮𝘢𝘵𝘪𝘤𝘢𝘭 𝘗𝘩𝘺𝘴𝘪𝘤𝘴”
𝙁𝙤𝙧 𝙢𝙤𝙧𝙚 𝙞𝙣𝙛𝙤𝙧𝙢𝙖𝙩𝙞𝙤𝙣, 𝙥𝙡𝙚𝙖𝙨𝙚 𝙫𝙞𝙨𝙞𝙩 𝙤𝙪𝙧 𝙬𝙚𝙗𝙨𝙞𝙩𝙚.