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

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𝙂𝙐𝙀𝙎𝙏 𝙀𝘿𝙄𝙏𝙊𝙍𝙎

Bessem Samet, Department of Mathematics, College of Science, King Saud University, Saudi Arabia

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𝘿𝙀𝘼𝘿𝙇𝙄𝙉𝙀

The deadline for submissions is 𝗠𝗔𝗥𝗖𝗛 𝟭𝟱, 𝟮𝟬𝟮𝟰, but individual papers will be reviewed and published online on an ongoing basis.

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𝙃𝙊𝙒 𝙏𝙊 𝙎𝙐𝘽𝙈𝙄𝙏

All submissions to the Special Issue must be made electronically via the online submission system Editorial Manager

𝐡𝐭𝐭𝐩://𝐰𝐰𝐰.𝐞𝐝𝐢𝐭𝐨𝐫𝐢𝐚𝐥𝐦𝐚𝐧𝐚𝐠𝐞𝐫.𝐜𝐨𝐦/𝐝𝐞𝐦𝐚

Please, choose the category “𝘚𝘱𝘦𝘤𝘪𝘢𝘭 𝘐𝘴𝘴𝘶𝘦 𝘰𝘯 𝘉𝘭𝘰𝘸-𝘶𝘱 𝘗𝘩𝘦𝘯𝘰𝘮𝘦𝘯𝘢 𝘪𝘯 𝘕𝘰𝘯𝘭𝘪𝘯𝘦𝘢𝘳 𝘌𝘲𝘶𝘢𝘵𝘪𝘰𝘯𝘴 𝘰𝘧 𝘔𝘢𝘵𝘩𝘦𝘮𝘢𝘵𝘪𝘤𝘢𝘭 𝘗𝘩𝘺𝘴𝘪𝘤𝘴”

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𝘾𝙊𝙉𝙏𝘼𝘾𝙏

𝐝𝐞𝐦𝐨𝐧𝐬𝐭𝐫𝐚𝐭𝐢𝐨.𝐞𝐝𝐢𝐭𝐨𝐫𝐢𝐚𝐥@𝐝𝐞𝐠𝐫𝐮𝐲𝐭𝐞𝐫.𝐜𝐨𝐦

𝐀𝐬𝐬𝐢𝐬𝐭𝐚𝐧𝐭𝐌𝐚𝐧𝐚𝐠𝐢𝐧𝐠𝐄𝐝𝐢𝐭𝐨𝐫@𝐝𝐞𝐠𝐫𝐮𝐲𝐭𝐞𝐫.𝐜𝐨𝐦

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𝙁𝙤𝙧 𝙢𝙤𝙧𝙚 𝙞𝙣𝙛𝙤𝙧𝙢𝙖𝙩𝙞𝙤𝙣, 𝙥𝙡𝙚𝙖𝙨𝙚 𝙫𝙞𝙨𝙞𝙩 𝙤𝙪𝙧 𝙬𝙚𝙗𝙨𝙞𝙩𝙚.

𝐡𝐭𝐭𝐩𝐬://𝐰𝐰𝐰.𝐝𝐞𝐠𝐫𝐮𝐲𝐭𝐞𝐫.𝐜𝐨𝐦/𝐣𝐨𝐮𝐫𝐧𝐚𝐥/𝐤𝐞𝐲/𝐝𝐞𝐦𝐚/